% Version dated June 30, 2003

          REFERENCES FOR LEAST SQUARES METHODS

			{\AA}ke Bj{\"o}rck

This is an updated vesrion of a BibTeX reference base which I have used for 
the book Numerical Methods for Least Squares, SIAM, 1996 (reference {bjor:96}).
It has been modeled after the BibTeX reference base of Pete Stewart, and
the same comments applies to its use. Below I repeat some of the introductory
comments of his base:

CITATION KEYS

A citation key is divided into two fields, <authors>:<date>, separated
by a colon.  The author field is constructed as follows.  If there is
only one author, the first four letters of his or her last name are
used to form the field (but only one letter each from prefixes, e.g.
van de Geign becomes vdge).  If there are two authors the first two
letters in their last names are used.  If there are three authors the
first two letters of the first are used with one letter from each of
the second and third.  If their are four, one letter from each is used.
Warning:  there may be a few exceptions to these conventions.

NAMES

Names appear in the order in which they appear in the reference, and entries
are alphabetized by the first name to appear.  To keep BibTeX from
becoming confused, only initials of given names are used.

Between some entries you will find clusters of two letters--e.g.  -ac- -ad-.  
These can be used to position yourself within the reference base.

KEYWORDS

Each entry has a keyword field, labeled kwds.  The program bibsrch (see below) 
will search the file for matches in a user-specified
combination of conjunctions, disjunctions, and negations.  The user
can also specify the author.  The program getkey dumps the keywords
on the standard output.  To get an alphabetized list of all key words
from the file ref.bib try

          getkey ref | sort -uf > keywords

The choice of key words is a highly personal matter. I have used a number 
of abbreviations to keep the kwds field to a manageable size.  Here they are.

           approximate methods (appr)
	   augmented system (augms)
	   backward perturbation (pert),
	   banded least squares (band),
	   blas (blas),
	   block angular system (basys),
    	   block methods (block),
	   Chebyshev approximation (cheb),
	   Cholesky (chol),
	   condition (cond),
	   conjugate gradients (cg),
	   constrained least squares (constr),
	   control theory (contr),
	   covariance matrix (covar),
           CS decomposition (csd),
           downdating (downd),
           eigenvalue problem (eigv)
           equilibration (scale),
	   error estimate (err),
	   fast Fourier transform (fft),
	   fill-in (fill),
	   generalized eigenvalue problems (geig),
           generalized inverse (ginv),
	   generalized linear model (glsq),
	   generalized QR decomposition (gqrd),
	   geodesy (geod),
	   geometric elements, fitting (geom),
           generalized singular value decomposition (gsvd),
           Givens rotation (rot),
	   graph theory (graph),
	   Gram-Schmidt (grsch),
	   history of least squares (hist), 
	   Householder (house),
	   hyperbolic rotation/Householder (hyp),
           ill-posed (illp),
	   interior point methods (intpoint),
	   interval analysis (err),
           iterative method (iter),
	   iterative refinement (ir),
	   Kronecker product (kron),
	   Lanczos (lanczos),
	   linear algebra general (la),
           LU decomposition (lud),
           matrix approximation (max),
	   nested dissection (nestdis),
           nonlinear least squares (nlsq),
	   normal equations (ne),
           null basis (nullsp)
  	   optimization (opt),
	   ordering for sparsity (perm),
           orthogonalization (orth),
           orthogonal regression (orthreg),
	   precision (err),
	   preconditioning (precond),
           pseudo-inverse (ginv),
           parallel computation (prll),
           perturbation theory (pert),
	   polynomial approximation (poly),
	   projection (orth), 
           QR decomposition (qrd),
	   quadratic programming (quadpr),
	   random matrix (rand), 
	   rank degenerate problems (rank),
	   rank revealing QR factorization (rrqr),
	   recursive least squares (rls),
	   regularization (regul),
           regression (regr),
	   robust estimation (rob),
	   scaling (scale),
	   signal processing (signal),
           singular value decomposition (svd),
	   software (soft),
           sparse (sparse),
	   spline approximation (spline),
           statistics (stat),
           structured least squares (struc)
	   survey paper/book (survey),
	   systolic (syst),
	   test matrix (test),
	   Toeplitz (toep), 
	   total least squares (tls), 
	   underdetermined systems (uds),
	   updating, downdating (upd, downd), 
	   Vandermonde systems  (vand),
           variable projection (varpro),
	   vector processing (prll), 
	   weighted least squares (wlsq)" 

The program getkey also prints out these correspondences in the
appropriate places.  (They are actually key words in the last article
of the base; take a look.)

DISCLAIMERS

 Do not use the references in a paper, unless you have checked them out 
for yourself.  Naturally, I am interested in hearing about any errors 
you may find. This reference base downdated regularly, and items can 
disappear.  For example, I will generally remove techreports as I find them 
published in journals.  If you use this base in a \bibliograpy command, 
save your bbl files!

BIBSRCH

The programs bibsrch and getkey, written by G.W. Stewart, may be generated from 
the file bibsearch.tar, available by anonymous ftp at

          thales.cs.umd.edu

in the directory

          pub/references.

Simply place bibsearch.tar in the directory where you want the directory
containing the programs.  Then

          tar xf bibsearch.tar
          cd bibsearch
          more README

and you will be told what to do next.


@article{abde:71,
   author = "N. N. Abdelmalek",
   year = "1971",
   title = "Roundoff Error Analysis for {Gram-Schmidt} Method and 
	Solution of Linear Least Squares Problems",
   journal = "BIT",
   volume = "11",
   pages = "345--368",
   kwds = "err,grsch,qrd"
}

@article{adco:1878,
   author = "R. J. Adcock",
   year = "1878",
   title = "A Problem in Least Squares",
   journal = "The Analyst",
   volume = "5",
   pages = "53--54",
   kwds = "regr,stat,tls"
}

@phdthesis{adle:98,
   author = "M. Adlers",
   year = "1998",
   title = "Sparse Least Squares Problems with Box Constraints",
   school = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Lic.} thesis",
   kwds = "sparse, constr,"
}

@phdthesis{adle:00,
   author = "M. Adlers",
   year = "2000",
   title = "Topics in Sparse Least Squares Problems",
   school = "Link{\"o}ping Studies in Science and Technology",
   address = "Link{\"o}ping University, Sweden",
   type = "{PhD thesis}",
   number = "634",
   kwds = "cg, iter"
}

@article{adbj:00,
   author = "M.~Adlers. and {\AA}.~Bj{\"o}rck",
   year = "2000",
   title = "Matrix Stretching for Sparse Least Squares Problems",
   journal = "Numer. Linear Algebra Appl.",
   volume = "7",
   pages = "51--65",
   kwds = "sparse"
}

@book{ahhu:83,
   author = "A. V. Aho and J. E. Hopcroft and J. D. Ullman",
   year = "1983",
   title = "Data Structures and Algorithms",
   publisher = "Addison-Wesley",
   address = "Reading, MA",
   kwds = ""
}

@article{aike:34,
   author = "A. C. Aiken",
   year = "1934",
   title = "On Least Squares and Linear Combinations of Observations",
   journal = "Proceedings of the Royal Society of Edinburgh, Sec. A",
   volume = "55",
   pages = "42--47",
   kwds = "regr,stat"
}

@article{ajje:84,
   author = "M. A. Ajiz and A. Jennings",
   year = "1984",
   title = "A Robust Incomplete {Choleski}-Conjugate Gradient Algorithm",
   journal = "Internat. J. Numer. Methods. Engrg.",
   volume = "20",
   pages = "949--966",
   kwds = "cg, precond"
}

al-

@article{alfl:85,
   author = "M. Al-Baali and R. Fletcher",
   year = "1985",
   title = "Variational Methods for Non-linear Least Squares",
   journal = "J. Oper. Res. Soc.",
   volume = "36",
   pages = "405--421",
   kwds = "nlsq"
}

@article{alfl:86,
   author = "M. Al-Baali and R. Fletcher",
   year = "1986",
   title = "An Efficient Line Search for Nonlinear Least-squares",
   journal = "J. Optim. Theory Appl.",
   volume = "48",
   pages = "359--377",
   kwds = "nlsq"
}

@phdthesis{alba:84,
   author = "M. Al-Baali",
   year = "1984",
   title = "Methods for Nonlinear Least Squares",
   school = "Department of Mathematical Sciences, University of Dundee",
   address = "Scotland",
   type = "{Ph.D.} thesis",
   kwds = "nlsq"
}

al- an-

@article{alpp:88,
   author = "S. T. Alexander and C.-T. Pan and R. J. Plemmons",
   year = "1988",
   title = "Analysis of a Recursive Least Squares Hyperbolic
            Rotation Algorithm for Signal Processing",
   journal = "Linear Algebra Appl.",
   volume = "98",
   pages = "3-40",
   kwds = "downd, hyp, signal, rls"
}

@article{alva:90,
   author = "F. L. Alvarado",
   year = "1990",
   title = "Manipulating and Visualization of Sparse Matrices",
   journal = "ORSA J. Comput.",
   volume = "2",
   pages = "186--207",
   kwds = "sparse, soft"
}

@phdthesis{ames:91,
   author = "P. R. Amestoy",
   year = "1991",
   title = "Factorization of Large Sparse Matrices Based on a
		  Multifrontal Approach in a Multiprocessor Environment",
   school = "CERFACS",
   address = " Toulouse, France",
   type = "{Ph.D.} thesis",
   number = "TH/PA/91/2",
   kwds = "sparse, prll, thesis"
}

@article{amdd:96,
   author = "P. R. Amestoy and T. Davis and I. S. Duff",
   year = "1996",
   title = "An Approximate Minimum Degree Ordering Algorithm",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "17",
   pages = "886--905",
   kwds = "sparse"
}

@article{amdu:89,
   author = "P. R. Amestoy and I. S. Duff",
   year = "1989",
   title = "Vectorization of a Multiprocessor Multifrontal Code",
   journal = "Internat. J. Supercomp. Appl.",
   volume = "3",
   pages = "41--59",
   kwds = "sparse, prll"
}

@article{amdu:93,
   author = "P. R. Amestoy and I. S. Duff",
   year = "1993",
   title = "Memory Allocation Issues in Sparse Multiprocessor
		  Multifrontal Methods",
   journal = "Internat. J. Supercomput. Appl.",
   volume = "7",
   pages = "64--82",
   kwds = "sparse, prll"
}

@article{amdp:96,
   author = "P. R. Amestoy and I. S. Duff and C. Puglisi",
   year = "1996",
   title = "Multifrontal {QR} Factorization in a Multiprocessor Environment",
   journal = "Numerical Linear Algebra with Applications",
   volume = "3",
   pages = "275--300",
   kwds = "sparse, prll"
}

@article{anpa:94,
   author = "A. A. Anda and H. Park",
   year = "1994",
   title = "Fast Plane Rotations with Dynamic Scaling",
   journal = " SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "162--174",
   kwds = "rot"
}

@article{anpa:96,
   author = "A. A. Anda and H. Park",
   year = "1996",
   title = "Self-Scaling Fast Rotations for Stiff Least Squares Problems",
   journal = "Linear Algebra Appl.",
   volume = "234",
   pages = "137--162",
   kwds = "rot, qrd,wlsq,constr"
}

@book{anbb:95,
   editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
		  J. Dongarra and J. {Du Croz} and A. Greenbaum and
		  S. Hammarling and A. McKenney and S. Ostrouchov and
		  D. Sorensen ",
   year = "1995",
   title = "{LAPACK} Users' Guide. Second Edition",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "prll,soft"
}

@article{anbd:92,
  author = "E. Anderssen and Z. Bai and J. Dongarra",
  title = "Generalized {QR} Factorization and its Applications",
   year = "1992",
   journal = "Linear Algebra Appl.",
   volume = "162--164",
   pages = "243--271",
  kwds = "gqr"
}

@article{anka:75,
   author = "N. Anderson and I. Karasalo",
   year = "1975",
   title = "On Computing Bounds for the Least Singular Value of a Triangular 
	Matrix",
   journal = "BIT",
   volume = "15",
   pages = "1--4",
   kwds = "err, rank, svd"
}

@techreport{ango:72,
  author = "R. S. Anderssen and G. Golub",
  title = "Richardson's Non-Stationary Matrix Iterative Procedure",
  institution =  "Computer Science Department",
  year = "1972",
  type = "{Tech. Report}",
  number = "STAN-CS-72-304",
  address = "Stanford University, CA",
  kwds = "iter"
}

ar- as-

@article{ario:00,
   author = "M. Arioli",
   year = "2000",
   title = "The Use of {QR} Factorization in Sparse Quadratic Programming
            and Backward Error Issues",
   journal = " SIAM J. Matrix Anal. Appl.",
   volume = "21",
   pages = "825--839",
   kwds = "sparse, qrd"
}

@article{ardd:89,
   author = "M. Arioli and J. Demmel and I. S. Duff",
   year = "1989",
   title = "Solving Sparse Linear Systems with Sparse Backward Error",
   journal = " SIAM J. Matrix Anal. Appl.",
   volume = "10",
   pages = "165--190",
   kwds = "sparse, pert"
}

@article{ardr:89,
   author = "M. Arioli and I. S. Duff and P. P. M. de Rijk",
   year = "1989",
   title = "On the augmented system approach to sparse least-squares problems",
   journal = "Numer. Math.",
   volume = "55",
   pages = "667--684",
   kwds = "sparse, augms"
}

@article{ardr:92,
   author = "M. Arioli and I. S. Duff and D. Ruiz",
   year = "1992",
   title = "Stopping Criteria for Iterative Solvers",
   journal = " SIAM J. Matrix Anal. Appl.",
   volume = "13",
   pages = "138--144",
   kwds = "iter, pert"
}

@article{adrs:95,
   author = "M. Arioli and I. S. Duff and D. Ruiz and M. Sadkane",
   year = "1995",
   title = "Block {Lanczos} Techniques for Accelerating the Block
		  {Cimmino} Method",
   journal = " SIAM J. Sci. Comput.",
   volume = "16",
   pages = "1478--1511",
   kwds = "iter, sparse, prll"
}


@article{ardn:92,
   author = "M. Arioli and I. S. Duff and J. Noailles and D. Ruiz",
   year = "1990",
   title = "A Block Projection Method for Sparse Matrices",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "13",
   pages = "47--70",
   kwds = "sparse, iter"
}

@article{arla:86,
   author = "M. Arioli and A. Laratta",
   year = "1986",
   title = "Error analysis of an algorithm for solving an underdetermined 
		linear system",
   journal = "Numer. Math.",
   volume = 46,
   pages = "255--268",
   kwds = "err, uds"
}

@article{arla:86a,
   author = "M. Arioli and A. Laratta",
   year = "1986",
   title = "Error analysis of algorithms for computing the projection of a 
	Point onto a linear manifold",
   journal = "Linear Algebra Appl.",
   volume = 82,
   pages = "1--26",
   kwds = "uds, orth"
}

@article{asgr:89,
   author = "C. Ashcraft and R. G. Grimes",
   year = "1989",
   title = "The Influence of Relaxed Supernode Partitions on the
		  Multifrontal Method",
   journal = "ACM Trans. Math. Software",
   volume = "15",
   pages = "291--309",
   kwds = "sparse, prll"
}

@techreport{ashc:87,
   author = "C. Ashcraft",
   year = "1987",
   title = "A Vector Implementation of the Multifrontal
	Method for Large Sparse Positive Definite Systems",
   institution = "Engineering Technology Division,
	Boeing Computer Services",
   address= "Seattle, WA",
   type = "{Tech. Report}",
   number = "ETA-TR-51",
   kwds = "sparse, prll"
}

@incollection{ashk:71,
   author = "V. Ashkenazi",
   year = "1971",
   title = " Geodetic Normal Equations",
   booktitle = "Large Sets of Linear Equations",
   editor = "J. K. Reid",
   pages = "57--74",
   publisher = "Academic Press, New York",
   kwds = "geod, ne"
}

av-

@inproceedings{avto:79,
   author = "J. K. Avila and J. A. Tomlin",
   year = "1979",
   title = "Solution of Very Large Least Squares Problems by Nested Dissection 
	on a Parallel Processor",
   booktitle = "Proceedings of the Computer Science and Statistics
	12th Annual Symposium on the Interface", 
   editor = "J. F. Gentleman",
   publisher = "University of Waterloo, Canada",
   kwds = "sparse, perm, prll"
}

ba-

@techreport{bai:92,
   author = "Z. Bai",
   year = "1992",
   title = "The {CSD}, {GSVD}, Their Applications and Computations",
   institution = "Institute for Mathematics and Its Applications,
		  University of Minnesota",
   address = "Minneapolis, MN",
   type = "{Tech. Report}",
   number = "IMA Preprint Series 958",
   kwds = "csd, gsvd"
}

@article{bade:93,
   author = "Z. Bai and J. W. Demmel",
   year = "1993",
   title = "Computing the Generalized Singular Value Decomposition",
   journal = "SIAM J. Sci. Comput.",
   volume = "14",
   pages = "1464--1486",
   kwds = "gsvd"
}

@article{bazh:93,
   author = "Z. Bai and H. Zha",
   year = "1993",
   title = "A New Preprocessing Algorithm for the Computation of the
		  Generalized Singular Value Decomposition",
   journal = "SIAM J. Sci. Comput.",
   volume = "14",
   pages = "1007--1012",
   kwds = "gqrd, gsvd"
}

@article{bana:38,
   author = "T. Banachiewicz",
   year = "1938",
   title = "Principes d'une nouvelle technique de la m\'ethode des
		  moindres carr\'es",
   journal = "Bull. Internat. Acad. Polon. Sci. A",
   pages = "134--135",
   kwds = "chol"
}

@book{bard:74,
   author = "Y. Bard",
   year = "1974",
   title = "Nonlinear Parameter Estimation",
   publisher = "Academic Press",
   address = "New York",
   kwds = "stat, nlsq"
}

@techreport{bare:82,
   author = "E. H. Bareiss",
   year = "1982",
   title = "Numerical Solution of the Weighted Linear Least Squares Problems 
	by {G}-transformations",
   institution = "Department of Electrical Engineering and Computer Science",
   address = "Northwestern University, Evanston, IL",
   type = "{Tech. Report}",
   number = "82-03-NAM-03",
   kwds = "wlsq"
}

@article{barl:85,
   author = "J. L. Barlow",
   year = "1985",
   title = "Stability Analysis of the {G}-algorithm and a Note on its Application 
	to Sparse Least Squares Problems",
   journal = "BIT",
   volume = "25",
   pages = "507--520",
   kwds = "wlsq"
}

@article{barl:88,
   author = "J. L. Barlow",
   year = "1988",
   title = "Error Analysis and Implementation Aspects of Deferred Correction 
	for Equality Constrained Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "25",
   pages = "1340--1358",
   kwds = "constr, err"
}

@techreport{barl:89,
   author = "J. L. Barlow",
   year = "1989",
   title = "The Accurate Solution of Sparse Weighted and Equality
	Constrained Least Squares Problems Using a Static Data Structure",
   institution = "Dept. of Computer Science, The Pennsylvania State University",
   address = "State College, PA",
   type = "{Tech. Report}",
   number = "CS-89-03",
   kwds = "wlsq, constr,sparse"
}

@article{barl:90,
   author = "J. L. Barlow",
   year = "1990",
   title = "On the Use of Structural Zeros in Orthogonal Factorization",
   journal = "SIAM J. Sci. Stat. Comput.",
   volume = "11",
   pages = "600--601",
   kwds = "constr, err"
}

@article{baha:88,
   author = "J. L. Barlow and S. L. Handy",
   year = "1988",
   title = "The Direct Solution of Weighted and Equality Constrained 
	Least Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "9",
   pages = "704--716",
   kwds = "wlsq, constr"
}

@article{baip:87,
   author = "J. L. Barlow and I. C. F. Ipsen",
   year = "1987",
   title = "Scaled {Givens} Rotations for the Solution of Linear
           Least Squares Problems on Systolic Arrays",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "716-734",
   kwds = "prll, rot"
}

@article{banp:88,
   author = "J. L. Barlow and N. K. Nichols and R. J. Plemmons",
   year = "1988",
   title = " Iterative Methods for Equality-constrained Least Squares 
	Problems.",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "9",
   pages = "892--906",
   kwds = "iter, constr"
}

@article{bave:92a,
   author = "J. L. Barlow and U. B. Vemulapati",
   year = "1992",
   title = "A Note on Deferred Correction for Equality Constrained
		  Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "29",
   pages = "249--256",
   kwds = "constr"
}

@article{bave:92,
   author = "J. L. Barlow and U. B. Vemulapati",
   year = "1992",
   title = "Rank Detection Methods for Sparse Matrices",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "13",
   pages = "1279--1297",
   kwds = "rank, rrqr, sparse"
}

@article{bayz:96,
   author = "J. L. Barlow and P. A. Yoon and H. Zha",
   year = "1996",
   title = "An Algorithm and a Stability Theory for Downdating the {ULV} Decomposition",
   journal = "BIT",
   volume = "36",
   pages = "14--40",
   kwds = "upd, rrqr, svd"
}

@techreport{bazy:93,
   author = "J. L. Barlow and H. Zha and P. A. Yoon",
   year = "1993",
   title = "Stable Chasing Algorithms for Modifying Complete and
	  Partial Singular Value Decompositions",
   institution = "Department of Computer Science",
   address = "The Pennsylvania State University, State College, PA",
   type = "{Tech. Report}",
   number = "CSE-93-19",
   kwds = "upd, svd"
}

@inproceedings{bayo:97,
   author = "J. L. Barlow and H. Zha and P. A. Yoon",
   year = "1997",
   title = "Solving Recursive TLS Problems Using Rank-Revealing
      {ULV} Decompositions",
   pages = "117--126",
   booktitle = "Recent Advances in Total Least Squares Techniques and
		  Errors-in-Variable Modeling",
   editor = "Sabine Van Huffel",
   publisher = "SIAM, Philadelphia, PA",
   kwds = "tls, rls, rrqr"
}

@book{babc:93,
   editor = "R. Barret and M. W. Berry and T. Chan and J. Demmel and J.
		  Donato and J. Dongarra and V. Eijkhout and R. Pozo
		  and C. Romine and H. van der Vorst",
   year = "1993",
   title = "Templates for the Solution of Linear Systems: Building
		  Blocks for Iterative Methods ",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "iter, survey"
}

@article{barr:94,
   author = "A. Barrlund",
   year = "1994",
   title = "Perturbation Bounds for the Generalized {QR} Factorization",
   journal = "Linear Algebra Appl.",
   volume = "207",
   pages = "251--272",
   kwds = "pert, qrd"
}
		  
@article{barr:98,
   author = "A. Barrlund",
   year = "1998",
   title = "Efficient Solution of Constrained Least Squares Problems
		  with {K}ronecker Product Structure",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "19",
   pages = "154--160",
   kwds = "kron,constr"
}		  

@article{baro:73,
   author = "I. Barrodale and F. D. K. Roberts",
   year = "1973",
   title = "An Improved Algorithm for Discrete $\ell_1$ Linear Approximation",
   journal = "SIAM J. Numer. Anal.",
   volume = "10",
   pages = "839--848",
   kwds = "rob"
}

@article{baph:75,
   author = "I. Barrodale and C. Phillips",
   year = "1975",
   title = "Algorithm {\rm 495}: Solution of an Overdetermined System of 
	Linear Equations in the {Chebyshev} Norm ",
   journal = "ACM Trans. Math. Software",
   volume = "1",
   pages = "264--270",
   kwds = "cheb"
}

@article{baro:78,
   author = "I. Barrodale and F. D. K. Roberts",
   year = "1978",
   title = "An Efficient Algorithm for Discrete $\ell_1$ Linear Approximation 
	with Linear Constraints",
   journal = "SIAM J. Numer. Anal.",
   volume = "15",
   pages = "603--611",
   kwds = "rob"
}

@incollection{bags:70,
   author = "R. H. Bartels and G. H. Golub and M. A. Saunders",
   year = "1970",
   title = "Numerical Techniques in Mathematical Programming",
   pages = "123--176",
   booktitle = "Nonlinear Programming", 
   editor = "J. B. Rosen and O. L. Mangasarian and K. Ritter",
   publisher = "Academic Press, New York",
   kwds = "qrd, rank"
}

@article{baco:80,
   author = "R. H. Bartels and A. R. Conn",
   year = "1980",
   title = "Linearly Constrained Discrete $\ell_1$ Problems",
   journal = "ACM Trans. Math. Software",
   volume = "6",
   pages = "594--608",
   kwds = "rob, constr"
}

@article{bacc:80,
   author = "R. H. Bartels and A. R. Conn and C. Charalambous",
   year = "1980",
   title = "On {Cline's} Direct Method for Solving Overdetermined Linear Systems 
	in the {$\ell_\infty$} Sense",
   journal = " SIAM J. Numer. Anal.",
   volume = "15",
   pages = "255--270",
   kwds = "cheb"
}

@article{bacs:78,
   author = "R. H. Bartels and A. R. Conn  and J. W. Sinclair",
   year = "1978",
   title = "Minimization Techniques for Piecewise Differentiable Functions: 
	The $\ell_1$ Solution to an Overdetermined Linear System",
   journal = "SIAM J. Numer. Anal.",
   volume = "15",
   pages = "224--241",
   kwds = "rob"
}

@article{bamw:67,
   author = "W. Barth and R. S. Martin and J. H. Wilkinson",
   year = "1967",
   title = "Calculation of the Eigenvalues of a Symmetric Tridiagonal
		  Matrix by the Method of Bisection",
   journal = "Numer. Math.",
   volume = "9",
   pages = "386--393",
   kwds = "svd"
}

@article{baue:65,
   author = "F. L. Bauer",
   year = "1965",
   title = "Elimination with Weighted Row Combinations for Solving Linear 
	Equations and Least Squares Problems",
   journal = "Numer. Math.",
   volume = "7",
   pages = "338--352",
   kwds = "grsch, qrd"
}

@article{baue:66,
   author = "F. L. Bauer",
   year = "1966",
   title = " {Genauigkeitsfragen bei der L{\"o}sung linear
              Gleich\-ungs\-systeme}",
   journal = "{Z. Angew. Math. Mech.}",
   volume = "46",
   pages = "409--421",
   kwds = "pert, cond, scale"
}

be-

@article{beni:66,
   author = "A. Ben-Israel",
   year = "1966",
   title = "On Error Bounds for the Generalized Inverse",
   journal = "SIAM J. Numer. Anal.",
   volume = "3",
   pages = "585--592",
   kwds = "pert, ginv"
}

@article{beco:66,
   author = "A. Ben-Israel and D. Cohen",
   year = "1966",
   title = "On Iterative Computation of Generalized Inverses and Associated
Projections",
   journal = "SIAM J. Numer. Anal.",
   volume = "3",
   pages = "410--419",
   kwds = "iter, ginv"
}

@article{biwe:63,
   author = "A. Ben-Israel and S. J. Wersan",
   year = "1963",
   title = "An Elimination Method for Computing the generalized
		  Inverse of an Arbitrary Matrix",
   journal = "J. ACM",
   volume = "10",
   pages = "532--537",
   kwds = "ginv"
}

@book{begr:74,
   author = "A. Ben-Israel and T. E. Greville",
   year = "1974",
   title = "Generalized Inverses: Theory and Applications",
   publisher = "John Wiley",
   address = "New York",
   kwds = "ginv"
}

@article{beno:24,
   author = "Benoit, Commendant",
   year = "1924",
   title = "Sur la m\'ethode de r\'esolution des \'equationes normales, etc.
	(Proc\'ed\'es du commandant {Cholesky})",
   journal = "Bull. G\'eod\'esique",
   volume = "2",
   pages = "67--77",
   kwds = "chol, ne"
}

@article{tate:90,
   author = "A. Ben-Tal and M. Teboulle",
   year = "1990",
   title = "A Geometric Property of the Least Squares Solution of
	Linear Equations",
   journal = "Linear Algebra Appl.",
   volume = "139",
   pages = "165--170",
   kwds = "wlsq"
}

@phdthesis{benz:93,
   author = "M. Benzi",
   year = "1993",
   title = "A Direct Row-Projection Method for Sparse Linear Systems",
   school = "North Carolina State University",
   address = "Raleigh, NC",
   type = "{Ph.D.} thesis",
   kwds = "iter"
}

@inproceedings{beme:94,
   author = "M. Benzi and C. D. Meyer",
   year = "1994",
   title = "An Explicit Preconditioner for the Conjugate Gradient Method",
   booktitle = "Proceedings of the {Cornelius} Lanczos International
		  Centenary Conference, Raleigh, NC, Dec. 1993",
   editor = "J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons",
   publisher = "SIAM, Philadelphia",
   pages = "294--296",
   kwds = "precond, cg"
}

@article{bemt:98,
   author = "M. Benzi and C. D. Meyer and M. T\.{u}ma",
   year = "1998",
   title = "A Sparse Approximate Inverse Preconditioner for the
		  Conjugate Gradient Method",
   journal = "SIAM J. Sci. Comput.",
   volume = "19",
   pages = "968--994",
   kwds = "precond, cg"
}

@article{bepl:74,
   author = "A. Berman and R. J. Plemmons",
   year = "1974",
   title = "Cones and Iterative Methods for Best Least Squares Solutions of 
	Linear Systems",
   journal = "SIAM J. Numer. Anal.",
   volume = "11",
   pages = "145--154",
   kwds = "iter"
}

@article{berr:92,
   author = "M. W. Berry",
   year = "1992",
   title = "Large Scale Sparse Singular Value Computations",
   journal = "Internat. J. Supercomp. Appl.",
   volume = "6",
   pages = "13--49",
   kwds = "sparse, svd"
}

@techreport{berr:92b,
   author = "M. W. Berry",
   year = "1992",
   title = "A {Fortran}-{\rm 77} Software Library for the Sparse Singular 
            Value Decomposition",
   institution = "University of Tennessee",
   address = "Knoxville, TN",
   type = "{Tech. Report}",
   number = "CS-92-159",
   kwds = "sparse, svd, soft"
}

@techreport{berr:93,
   author = "M. W. Berry",
   year = "1993",
   title = "{SVDPACKC}: Version {\rm 1.0} User's Guide",
   institution = "University of Tennessee",
   address = "Knoxville, TN",
   type = "{Tech. Report}",
   number = "CS-93-194",
   kwds = "sparse, svd"
}

@inproceedings{berr:94,
   author = "M. W. Berry",
   year = "1994",
   title = "A Survey of Public-Domain {Lanczos}-Based Software",
   booktitle = "Proceedings of the {Cornelius} {Lanczos} International
		  Centenary Conference, Raleigh, NC, Dec. 1993",
   editor = "J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons",
   publisher = "SIAM, Philadelphia",
   pages = "332--334",
   kwds = "iter, lancz"
}

@inproceedings{beau:94,
   author = "M. W. Berry and R. L. Auerbach",
   year = "1994",
   title = "A Block {Lanczos} {SVD} Method with Adaptive Reorthogonalization",
   booktitle = "Proceedings of the {Cornelius} {Lanczos} International
		  Centenary Conference, Raleigh, NC, Dec. 1993",
   editor = "J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons",
   publisher = "SIAM, Philadelphia",
   pages = "329--331",
   kwds = "iter, lancz"
}

@article{bego:91,
   author = "M. W. Berry and G. H. Golub",
   year = "1991",
   title = "Estimating the Largest Singular Values of Large Sparse Matrices via
	Modified Moments",
   journal = "Numer. Algorithms",
   volume = "1",
   pages = "363--374",
   kwds = "sparse, svd"
}

@article{bert:1855,
   author = "J. Bertrand",
   year = "1855",
   title = "Sur la m\'ethode des moindres carr\'es",
   journal = "C. R. Acad. Sci., Paris",
   volume = "40",
   pages = "1190--1192",
   kwds = "ne, hist"
}

bi-

@article{bien:1853,
   author = "I. J. Bienaym\'e",
   year = "1853",
   title = "Remarques sur les diff\'erences qui distinguent
   l'interpolation de {M. Cauchy} de la m\'ethode des moindre
   carr\'es et qui assurent la sup\'eriorit\'e de cette 
   m\'ethode",
   journal = "C. R. Acad. Sci., Paris",
   volume = "37",
   pages = "5--13",
   kwds = "ne, hist"
}

@article{bitt:91,
   author = "M. Bierlair and P. Toint and D. Tuyttens",
   year = "1991",
   title = "On Iterative Algorithms for Linear Least-Squares Problems
		  with Bound Constraints",
   journal = "Linear Algebra Appl.",
   volume = "143",
   pages = "111-143",
   kwds = "iter, constr"
}

@inproceedings{bisc:89,
   author = "C. H. Bischof",
   year = "1989",
   title = "A Block {QR} Factorization Algorithm Using Restricted Pivoting",
   pages = "248--256",
   booktitle = "Supercomputing 89",
   editor = "",
   publisher = "ACM Press, New York",
   kwds = "qrd, prll, blas"
}

@article{bisc:90,
   author = "C. H. Bischof",
   year = "1990",
   title = "Incremental Condition Estimation",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "11",
   pages = "312--322",
   kwds = "cond"
}

@techreport{bisc:90a,
   author = "C. H. Bischof",
   year = "1990",
   title = "Adaptive Condition Estimation for Rank-one Downdates of {QR} 
	Factorizations",
   institution = "Argonne National Laboratory, Math. and Computer Sciences Div.",
   address = "Argonne, IL",
   type = "{Tech. Report}",
   number = "ANL/MCS-P166-0790",
   kwds = "cond"
}

@article{bisc:91,
   author = "C. H. Bischof",
   year = "1991",
   title = "A Parallel {QR} Factorization Algorithm with Controlled 
	Local Pivoting",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "12",
   pages = "36--57",
   kwds = "cond"
}

@article{biha:91,
   author = "C. H. Bischof and P. C. Hansen",
   year = "1991",
   title = "Structure Preserving and Rank-Revealing {QR} Factorizations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "12",
   pages = "1332--1350",
   kwds = "sparse, rrqr"
}

@article{biha:92,
   author = "C. H. Bischof and P. C. Hansen",
   year = "1992",
   title = "A Block Algorithm for Computing Rank-Revealing {QR} Factorizations",
   journal = "Numer. Algorithms",
   volume = "2",
   pages = "371--392",
   kwds = "cond,rrqr"
}

@article{bilp:90,
   author = "C. H. Bischof and J. G. Lewis and D. J. Pierce",
   year = "1990",
   title = "Incremental Condition Estimation for Sparse Matrices",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "11",
   pages = "644--659",
   kwds = "sparse, cond, err"
}

@article{bipt:93,
   author = "C. H. Bischof and C.-T. Pan and P. T. P. Tang",
   year = "1993",
   title = "A {Cholesky} Up-and Downdating Algorithm for Systolic and
	{SIMD} Architectures",
   journal = "SIAM J. Sci. Comput.",
   volume = "14",
   pages = "670--676",
   kwds = "downd, prll"
}

@article{biqu:98a,
   author = "C. H. Bischof and G. Quintana-Ort{\'i}",
   year = "1998",
   title = "Computing Rank-Revealing {QR} Factorizations of Dense Matrices",
   journal = "ACM Trans. Math. Software",
   volume = "24:2",
   pages = "226--253",
   kwds = "rrqr"
}

@article{biqu:98b,
   author = "C. H. Bischof and G. Quintana-Ort{\'i}",
   year = "1998",
   title = "Algorithm 782: Codes for Rank-Revealing {QR} Factorizations 
      of Dense Matrices",
   journal = "ACM Trans. Math. Software",
   volume = "24:2",
   pages = "254--257",
   kwds = "rrqr"
}

@article{bivl:87,
   author = "C. H. Bischof and C. F. {Van Loan}",
   year = "1998",
   title = "The WY Representation for products of Householder Matrices",
   journal = "SIAM J. Sci. Stat. Comput.",
   volume = "8:1",
   pages = "2--13",
   kwds = ""
}

bj-

@article{bjer:51,
   author = "A. Bjerhammer",
   year = "1951",
   title = "Rectangular Reciprocal Matrices with Special Reference
            to Geodetic Calculations",
   journal = "Bull. G\'eod\'esique",
   volume = "52",
   pages = "118-220",
   kwds = "ginv"
}

@article{bjor:67,
   author = "{\AA}. Bj{\"o}rck",
   year = "1967",
   title = "Solving Linear Least Squares Problems by {Gram-Schmidt} 
            Orthogonalization",
   journal = "BIT",
   volume = "7",
   pages = "1--21",
   kwds = "qrd, grsch"
}

@article{bjor:67a,
   author = "{\AA}. Bj{\"o}rck",
   year = "1967",
   title = "Iterative Refinement of Linear Least Squares Solutions {I}",
   journal = "BIT",
   volume = "7",
   pages = "257--278",
   kwds = "ir, grsch, qrd"
}

@article{bjor:68,
   author = "{\AA}. Bj{\"o}rck",
   year = "1968",
   title = "Iterative Refinement of Linear Least Squares Solutions {II}",
   journal = "BIT",
   volume = "8",
   pages = "8-30",
   kwds = "ir, constr"
}

@inproceedings{bjor:76,
   author = "{\AA}. Bj{\"o}rck",
   year = "1976",
   title = "Methods for Sparse Least Squares Problems",
   pages = "177--199",
   booktitle = "Sparse Matrix Computations",
   editor = "J.R. Bunch and D. J. Rose",
   publisher = "Academic Press, New York",
   kwds = "sparse, survey"
}

@article{bjor:78,
   author = "{\AA}. Bj{\"o}rck",
   year = "1978",
   title = "Comment on the Iterative Refinement of Least Squares Solutions",
   journal = "J. Amer. Statist. Assoc.",
   volume = "73",
   pages = "161--166",
   kwds = "ir, sne"
}

@inproceedings{bjor:79,
   author = "{\AA}. Bj{\"o}rck",
   year = "1979",
   title = "{SSOR} Preconditioning Methods for Sparse Least Squares Problems",
   pages = "21--25",
   booktitle = "Proceedings of the Computer Science and Statistics
	12th Annual Symposium on the Interface", 
   editor = "J. F. Gentleman",
   publisher = "University of Waterloo, Canada",
   kwds = "iter, precond"
}

@article{bjor:84,
   author = "{\AA}. Bj{\"o}rck",
   year = "1984",
   title = "A General Updating Algorithm for Constrained Linear Least Squares 
	problems", 
   journal = " SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "394--402.",
   kwds = "upd, sparse"
}

@article{bjor:87,
   author = "{\AA}. Bj{\"o}rck",
   year = "1987",
   title = "Stability Analysis of the Method of Semi-Normal Equations
            for Least Squares Problems",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "31--48",
   kwds = "err, ne"
}

@article{bjor:88,
   author = "{\AA}. Bj{\"o}rck",
   year = "1988",
   title = "A Bidiagonalization Algorithm for Solving Ill-posed Systems of Linear 
	Equations",
   journal = "BIT",
   volume = "28",
   pages = "659--670",
   kwds = "sparse, lanczos"
}

@article{bjor:88a,
   author = "{\AA}. Bj{\"o}rck",
   year = "1988",
   title = "A Direct Method for Sparse Least Squares Problems with lower and 
	Upper Bounds",
   journal = " Numer. Math.",
   volume = "54",
   pages = "19--32",
   kwds = "constr"
}

@inproceedings{bjor:90b,
   author = "{\AA}. Bj{\"o}rck",
   year = "1990",
   title = "Iterative Refinement and Reliable Computing",
   pages = "249--266",
   booktitle = "Reliable Numerical Computation",
   editor = "M. G. Cox and S. J. Hammarling",
   publisher = "Clarendon Press, Oxford, UK",
   kwds = ""
}

@incollection{bjor:90c,
   author = "{\AA}. Bj{\"o}rck",
   year = "1990",
   title = "Least Squares Methods",
   editor = "P. G. Ciarlet and J. L. Lions",
   booktitle = "Handbook of Numerical Analysis. I. Solution of
		  Equations in $R^n$. Part 1",
   publisher = "Elsevier/North-Holland, Amsterdam",
   pages = "466--647",
   kwds = "survey"
}

@inproceedings{bjor:91,
   author = "{\AA}. Bj{\"o}rck",
   year = "1991",
   title = "Error Analysis of Least Squares Algorithms",
   pages = "41--73",
   booktitle = "Numerical Linear Algebra, Digital Signal Processing
	and Parallel Algorithms", 
   series = "NATO ASI Series",
   volume = "70",
   editor = "G. H. Golub and P. {Van Dooren}",
   publisher = "Springer-Verlag, Berlin",
   kwds = "err, signal,prll"
}

@article{bjor:91a,
   author = "{\AA}. Bj{\"o}rck",
   year = "1991",
   title = "Component-wise Perturbation Analysis and Errors Bounds for
            Linear Least Square Solutions",
   journal = "BIT",
   volume  = "31",
   pages = "238--244",
   kwds = "pert, pert"
}

@inproceedings{bjor:91b,
   author = "{\AA}. Bj{\"o}rck",
   year = "1991",
   title = "Algorithms for Linear Least Squares Problems",
   pages = "57--92",
   booktitle = "Computer Algorithms for Solving Linear Algebraic Equations;
	The State of the Art",
   series = "NATO ASI Series F: Computer and Systems Sciences",
   volume = "77",
   editor = "E. Spedicato",
   publisher = "Springer-Verlag, Berlin",
   kwds = "survey"
}

@inproceedings{bjor:92,
   author = "{\AA}. Bj{\"o}rck",
   year = "1992",
   title = "Pivoting and Stability in the Augmented System Method",
   pages = "1--16",
   booktitle = "Numerical Analysis 1991: Proceedings of the 14th 
	Dundee Conference, June 1991",
   editor = "D. F. Griffiths and G. A. Watson",
   publisher = "Longman Scientific and Technical, Harlow, UK",
   series = "Pitman Research Notes in Mathematics 260",
   kwds = "augms, err, wlsq"
}

@article{bjor:94,
   author = "{\AA}. Bj{\"o}rck",
   year = "1994",
   title = "Numerics of {Gram-Schmidt} Orthogonalization",
   journal = "Linear Algebra Appl.",
   volume  = "197--198",
   pages = "297--316",
   kwds = "survey, grsch"
}

@inproceedings{bjor:94a,
   author = "{\AA}. Bj{\"o}rck",
   year = "1994",
   title = "Generalized and Sparse Least Squares Problems",
   pages = "37--80",
   booktitle = "Algorithms for Continuous Optimization;
	The State of the Art",
   series = "NATO ASI Series C: Mathematical and Physical Sciences",
   volume = "434",
   editor = "E. Spedicato",
   publisher = "Kluwer Academic Publisher, Dordrecht",
   kwds = "survey"
}

@book{bjor:96,
   author = "{\AA}. Bj{\"o}rck",
   year = "1996",
   title = " Numerical Methods for Least Squares Problems",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "survey"
}

@inproceedings{bjor:97,
   author = "{\AA}. Bj{\"o}rck",
   year = "1997",
   title = "Newton and {Rayleigh} Quotient Methods for Total Least
		  Squares Problems",
   pages = "149--160",
   booktitle = "Recent Advances in Total Least Squares Techniques and
		  Errors-in-Variables Modeling",
   editor = "Sabine Van Huffel",
   publisher = "SIAM, Philadelphia, PA",
   kwds = "tls, cg"
}
		  
@inproceedings{bjor:02,
   author = "{\AA}. Bj{\"o}rck",
   year = "2002",
   title = "Q Factorization of the Jacobian in Some Structured Nonlinear
            Least squares Problem",
   pages = "225--234",
   booktitle = "Total Least Squares and Errors-in-Variables Modeling",
   editor = "Sabine Van Huffel and Philippe Lemmerling",
   publisher = "Kluwer Academic Publishers, Dordrecht",
   kwds = "qr,struct,tls"
}
		  
@article{bjbo:71,
   author = "{\AA}. Bj{\"o}rck and C. Bowie",
   year = "1971",
   title = "An Iterative Algorithm for Computing the Best Estimate of
            an Orthogonal Matrix",
   journal = "SIAM J. Numer. Anal.",
   volume = "8",
   pages = "358--364",
   kwds = "svd, orth, iter"
}

@article{bjdu:80,
   author = "{\AA}. {Bj{\"o}rck} and I. S. Duff",
   year = "1980",
   title = "A Direct Method for the Solution of Sparse Linear Least Squares 
            Problems",
   journal = "Linear Algebra Appl.",
   volume = "34",
   pages = "43-67",
   kwds = "ne, lud, sparse"
}

@techreport{bjel:79,
   author = "{\AA}. Bj{\"o}rck and L. Eld\'en",
   year = "1979",
   title = "Methods in numerical algebra for ill-posed problems",
   institution = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "LiTH-MAT-R-1979-33",
   kwds = "regul"
}

@article{bjep:94,
   author = "{\AA}. Bj{\"o}rck and L. Eld\'en and H. Park",
   year = "1994",
   title = "Accurate Downdating of Least Squares Solutions",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "549--568",
   kwds = ",sne, downd"
}


@article{bjel:73,
   author = "{\AA}. Bj{\"o}rck and T. Elfving",
   year = "1973",
   title = "Algorithms for Confluent {Vandermonde} Systems",
   journal = "Numer. Math.",
   volume = "21",
   pages = "130--137",
   kwds = "vand"
}

@article{bjelf:79,
   author = "{\AA}. Bj{\"o}rck and T. Elfving",
   year = "1979",
   title = "Accelerated Projection Methods for Computing Pseudoinverse
            Solutions of Systems of Linear Equations",
   journal = "BIT",
   volume = "19",
   pages = "145--163",
   kwds = "ginv, iter, prll"
}

@article{bjes:98,
   author = "{\AA}. Bj{\"o}rck and T. Elfving and Z. Strako{\v{s}}",
   year = "1998",
   title = "Stability of Conjugate Gradient and {L}anczos Methods for Linear
		  Least Squares Problems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "19:3",
   pages = "720--736",
   kwds = "cg, iter"
}

@article{bjgo:67,
   author = "{\AA}. Bj{\"o}rck and G. H. Golub",
   year = "1967",
   title = "Iterative Refinement of Linear Least Squares Solution
            by {Householder} Transformation",
   journal = "BIT",
   volume = "7",
   pages = "322--337",
   kwds = "ir, qrd"
}

@article{bjgo:73,
   author = "{\AA}. Bj{\"o}rck and G. H. Golub",
   year = "1973",
   title = "Numerical Methods for Computing Angles between Linear Subspaces",
   journal = "Math. Comp.",
   volume = "27",
   pages = "579--594",
   kwds = "csd"
}

@article{bjgv:94,
   author = "{\AA}. Bj{\"o}rck and E. Grimme and P. {Van Dooren}",
   year = "1994",
   title = "An Implicit Shift Bidiagonalization Algorithm for Ill-Posed Systems",
   journal = "BIT",
   volume = "34",
   pages = "510--534",
   kwds = "regul, illp, lanczos"
}

@techreport{bjhp:00,
   author = "{\AA}. Bj{\"o}rck and P. Heggernes and P. Matstoms",
   year = "2000",
   title = "Methods for Large Scale Total Least Squares Problems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "22",
   pages = "413--429",
   kwds = "tls, iter"
}

@book{bjps:81,
   editor = "{\AA}. Bj{\"o}rck and R. J. Plemmons and H. Schneider",
   year = "1981",
   title = "Large Scale Matrix Problems",
   publisher = "North-Holland, New York",
   kwds = "sparse, survey"
}

@article{bjpa:92,
   author = "{\AA}. Bj{\"o}rck and C. C. Paige",
   year = "1992",
   title = "Loss and Recapture of Orthogonality in the Modified {Gram-Schmidt}
	Algorithm",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "13",
   pages = "176--190",
   kwds = "qrd, grsch"
}

@article{bjpa:94,
   author = "{\AA}. Bj{\"o}rck and C. C. Paige",
   year = "1994",
   title = "Solution of Augmented Linear Systems using Orthogonal 
	Factorizations",
   journal = "BIT",
   volume = "34",
   pages = "1--26",
   kwds = "qrd, grsch, augms"
}

@article{bjpe:70,
   author = "{\AA}. Bj{\"o}rck and V. Pereyra",
   year = "1970",
   title = "Solution of {Vandermonde} System of Equations",
   journal = "Math. Comp.",
   volume = "24",
   pages = "893--903",
   kwds = "vand"
}

bl-

@article{blue:78,
   author = "J. L. Blue",
   year = "1978",
   title = "A Portable {Fortran} Program to Find the {Euclidean} Norm of a 
	Vector",
   journal = "Trans. Math. Software",
   volume = "4",
   pages = "15-23",
   kwds = "blas, soft"
}

bo-

@techreport{bova:97,
   author = "E. Y. Bobrovnikova and S. A. Vavasis",
   year = "1997",
   title = "Accurate Solution of Weighted Least Squares by Iterative Methods",
   institution = "Advanced Computing Research Institute, Cornell University",
   address = "Ithaca, NY",
   type = "{Tech. Report}",
   number = "",
   kwds = "wlsq, iter"
}

@article{bobs:87,
   author = "P. T. Boggs and R. H. Byrd and R. B. Schnabel",
   year = "1987",
   title = "A Stable and Efficient Algorithm for Nonlinear Orthogonal Regression",
   journal = " SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "1052--1078",
   kwds = "nlsq, regr"
}

@article{bodb:89,
   author = "P. T. Boggs and J. R. Donaldson and R. H. Byrd and R. B. Schnabel",
   year = "1989",
   title = "{ODRPACK} Software for Weighted Orthogonal Distance Regression",
   journal = "ACM Trans. Math. Software",
   volume = "15",
   pages = "348--364",
   kwds = "nlsq, regr"
}

@techreport{bobr:92,
   author = "P. T. Boggs and R. H. Byrd and J. E. Rogers and R. B. Schnabel",
   year = "1992",
   title = "User's Reference Guide for {ODRPACK} Version
		  {\rm 2.01}---{Software} for Weighted Orthogonal Distance Regression",
   institution = "National Institute of Standards and Technology",
   address = "Boulder, CO",
   number = "NISTIR 4834",
   kwds = "nlsq, regr"
}

@article{bobr:86,
   author = "A. W. Bojanczyk and R. P. Brent",
   year = "1986",
   title = "Parallel Solution of Certain {Toeplitz} Least-Squares
            Problems",
   journal = "Linear Algebra Appl.",
   volume = "77",
   pages = "43-60",
   kwds = "prll, toep"
}

@article{bobh:86,
   author = "A.~W. Bojanczyk and R. P. Brent and F.~R. de Hoog",
   year = "1986",
   title = "{QR} Factorization of {Toeplitz} Matrices",
   journal = "Numer. Math.",
   volume = "49",
   pages = "81--94",
   kwds = "qrd, toep"
}

@techreport{bobh:93,
   author = "A.~W. Bojanczyk and R. P. Brent and F.~R. de Hoog",
   year = "1993",
   title = "A Weakly Stable Algorithm for General {Toeplitz} Matrices",
   institution = "Cornell University",
   address  = "Ithaca, NY",
   type = "{Tech. Report}",
   number = "TR-CS-93-15",
   kwds = "qrd, toep"
}

@article{bobv:87,
   author = "A. W. Bojanczyk and R. P. Brent and P. {Van Dooren} and F. de Hoog",
   year = "1987",
   title = "A Note on Downdating the {Cholesky} Factorization",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "210--221",
   kwds = "downd, chol"
}

@article{bonp:93,
   author = "A. W. Bojanczyk and J. G. Nagy and R. J. Plemmons",
   year = "1993",
   title = "Block {RLS} Using Row {Householder} Reflections",
   journal = "Linear Algebra Appl.",
   volume = "188/189",
   pages = "31--62",
   kwds = "upd, house, signal"
}

@inproceedings{bole:94,
   author = "A.~W. Bojanczyk and J. M. Lebak",
   year = "1994",
   title = "Downdating a {ULLV} Decomposition of Two Matrices",
   editor = "J. G. Lewis",
   booktitle = "Proceedings of the Fifth SIAM Conference on Applied
		  Linear Algebra",
   pages = "261--265",
   publisher = "SIAM, Philadelphia",
   kwds = "gqrd, downd"
}

@article{bogo:87,
   author = "D. Boley and G. H. Golub",
   year = "1987",
   title = "A Survey of Matrix Inverse Eigenvalue Problems",
   journal = "Inverse Problems",
   volume = "3",
   pages = "595--622",
   kwds = "eigv"
}

@article{book:79,
   author = "F. L. Bookstein",
   year = "1979",
   title = "Fitting Conic Sections to Scattered Data",
   journal = "Computer Graphics and Image Processing",
   volume = "9",
   pages = "56--71",
   kwds = "geom, nlsq"
}

@book{boor:78,
   author = "C. de Boor",
   year = "1978",
   title = "A Practical Guide to Splines",
   publisher = "Springer-Verlag",
   address = "Berlin",
   kwds = "spline"
}

br-

@phdthesis{bram:89,
   author = "R. Bramley",
   year = "1989",
   title = "Row-Projection Methods for Linear Systems",
   school = "Center for Supercomputing Research and Development,
		  University of Illinois",
   address = "Urbana, IL",
   type = "{Ph.D.} thesis 881",
   kwds = "iter"
}

@article{brsa:92,
   author = "R. Bramley and A. Sameh",
   year = "1992",
   title = "Row Projection Methods for Large Nonsymmetric Linear Systems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "13",
   pages = "168--193",
   kwds = "iter, sparse, prll"
}

@inproceedings{bren:88,
   author = "R. P. Brent",
   year = "1988",
   title = "Old and New Algorithms for {Toeplitz} Systems",
   editor = "Franklin T. Luk",
   booktitle = "Advanced Algorithms and Architectures for Signal Processing III",
   pages = "2--9",
   series = "SPIE Proceeding Series, Washington",
   kwds = "survey, toep"
}

bu-

@article{bunc:71,
   author = "J. R. Bunch",
   year = "1971",
   title = "Analysis of the Diagonal Pivoting Method",
   journal = "SIAM J. Numer. Anal.",
   volume = "8",
   pages = "656--680",
   kwds = "augms"
}

@article{bunc:85,
   author = "J. R. Bunch",
   year = "1985",
   title = "Stability of Methods for Solving {Toeplitz} Systems of Equations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "6",
   pages = "349--364",
   kwds = "toep"
}

@article{bunc:87,
   author = "J. R. Bunch",
   year = "1987",
   title = "The Weak and Strong Stability of Algorithms in Numerical Linear 
	Algebra",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "49--66",
   kwds = "pert, err"
}

@article{budv:89,
   author = "J. R. Bunch and J. W. Demmel and C. F. {Van Loan}",
   year = "1989",
   title = "The Strong Stability of Algorithms for Solving Symmetric Systems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "10",
   pages = "494--499",
   kwds = "pert, err"
}

@article{bupa:71,
   author = "J. R. Bunch and B. N. Parlett",
   year = "1971",
   title = "Direct Methods for Solving Symmetric Indefinite Systems 
	of Linear Systems",
   journal = "SIAM J. Numer. Anal.",
   volume = "8",
   pages = "639--655",
   kwds = "augms"
}

@article{buka:77,
   author = "J. R. Bunch and L. Kaufman",
   title = "Some Stable Methods for Calculating Inertia and Solving 
	Symmetric Linear Systems",
   year = "1977",
   journal = "Math. Comp.",
   volume = "31",
   pages = "162--179",
   kwds = "augms"
}

@article{bukp:76,
   author = "J. R. Bunch and L. Kaufman and B. N. Parlett",
   year = "1976",
   title = "Decomposition of a Symmetric Matrix",
   journal = "Numer. Math.",
   volume = "27",
   pages = "95--109",
   kwds = "augms"
}

@article{buni:78,
   author = "J. R. Bunch and C. P. Nielsen",
   year = "1978",
   title = "Updating the Singular Value Decomposition",
   journal = "Numer. Math.",
   volume = "31",
   pages = "111--129",
   kwds = "upd, svd"
}

@proceedings{buro:76,
   editor = "J. R. Bunch and D. J. Rose",
   year = "1976",
   title = "Sparse Matrix Computations",
   publisher = "Academic Press, New York",
   kwds = "sparse, survey"
}

@article{busi:70,
   author = "P. Businger",
   year = "1970",
   title = "Updating a Singular Value Decomposition",
   journal = "BIT",
   volume = "10",
   pages = "376--385",
   kwds = "svd, upd"
}

@article{bugo:65,
   author = "P. Businger and G. H. Golub",
   year = "1965",
   title = "Linear Least Squares Solutions by {Householder} Transformations",
   journal = "Numer. Math.",
   volume = "7",
   pages = "269--276",
   kwds = "qrd, hist"
}

@article{bugo:69,
   author = "P. Businger and G. H. Golub",
   year = "1969",
   title = "Algorithm {\rm 358}: Singular Value Decomposition of a Complex Matrix",
   journal = "Comm. ACM ",
   volume = "12",
   pages = "564--565",
   kwds = "qrd, soft"
}

ca- ch-

@article{care:93,
   author = "D. Calvetti and L. Reichel",
   year = "1993",
   title = "Fast Inversion of {Vandermonde}-like Matrices Involving Orthogonal
            Polynomials",
   journal = "BIT",
   volume = "33",
   pages = "473--484",
   kwds = "poly, vand"
}

@article{cadj:98,
   author = "J. Cardenal, I. S. Duff, and J. M. Jim\'enez",
   year = "1998",
   title = "Solution of Sparse Quasi-Square Rectangular Systems by Gaussian Elimination",
   journal = "IMA J. Numer. Anal.",
   volume = "18",
   pages = "165--177",
   kwds = "sparse, lud"
}

@article{cauc:1837,
   author = "A. Cauchy",
   year = "1837",
   title = "M\'emoire sur l'Interpolation",
   journal = "J. Math. Pures Appl.",
   volume = "2",
   pages = "193--205",
   kwds = "hist"
}

@article{cham:71,
   author = "J. M. Chambers",
   year = "1971",
   title = "Regression Updating",
   journal = "J. Amer. Statist. Assoc.",
   volume = "66",
   pages = "744--748",
   kwds = "upd, downd, stat, regr"
}

@book{cham:77,
   author = "J. M. Chambers",
   year = "1977",
   title = "Computational Methods for Data Analysis",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, regr"
}

@article{chan:82,
   author = "T. F. Chan",
   year = "1982",
   title = "An Improved Algorithm for Computing the Singular Value Decomposition",
   journal = "ACM Trans. Math. Software",
   volume = "8",
   pages = "72--83",
   kwds = "svd"
}

@article{chan:82a,
   author = "T. F. Chan",
   year = "1982",
   title = "Algorithm {\rm 581}: An Improved Algorithm for Computing the Singular 
	Value Decomposition",
   journal = "ACM Trans. Math. Software",
   volume = "8",
   pages = "84--88",
   kwds = "svd, soft"
}

@article{chan:87,
   author = "T. F. Chan",
   year = "1987",
   title = "Rank Revealing {QR}-factorizations",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "67--82",
   kwds = "qrd, rank, rrqr"
}

@article{chha:90,
   author = "T. F. Chan and P. C. Hansen",
   year = "1990",
   title = "Computing Truncated {SVD} Least Squares 
	Solutions by Rank Revealing {QR} Factorizations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "11",
   pages = "519--530",
   kwds = "qrd, rank, rrqr"
}

@article{chha:92,
   author = "T. F. Chan and P. C. Hansen",
   year = "1992",
   title = "Some Applications of the Rank Revealing {QR} Factorization",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "13",
   pages = "727--741",
   kwds = "tls, qrd, rank, rrqr"
}

@article{chha:94,
   author = "T. F. Chan and P. C. Hansen",
   year = "1994",
   title = "Low-Rank Revealing {QR} Factorizations",
   journal = "Numer. Linear Algebra Appl.",
   volume = "1",
   pages = "33--44",
   kwds = "qrd, rank, rrqr"
}

@article{chnp:93,
   author = "R. H. Chan and J. G. Nagy and R. J. Plemmons",
   year = "1993",
   title = "{FFT}-Based Preconditioners for {Toeplitz}-Block Least
		  Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "30",
   pages = "1740--1768",
   kwds = "toep, cg, precond"
}

@article{chnp:94,
   author = "R. H. Chan and J. G. Nagy and R. J. Plemmons",
   year = "1994",
   title = "Circulant Preconditioned {Toeplitz} Least
		  Squares Iterations",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "80--97",
   kwds = "toep, cg, precond"
}

@article{chng:96,
   author = "R. H. Chan and M. K. Ng",
   year = "1996",
   title = "Conjugate Gradient Methods for {Toeplitz} Systems",
   journal = "SIAM Review",
   volume = "38",
   pages = "427--482",
   kwds = "toep, cg, precond"
}

@article{chgs:98,
   author = "S. Chandrasekaran and M. Gu and A. H. Sayed",
   year = "1998",
   title = "A Stable and Efficient Algorithm for the Indefinite Linear 
      Least-Squares Problem",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "20:2",
   pages = "354--362",
   kwds = "tls,struc"
}

@article{chip:94a,
   author = "S. Chandrasekaran and I. C. F. Ipsen",
   year = "1994",
   title = "Backward Errors for Eigenvalue and Singular Value Decompositions",
   journal = "Numer. Math.",
   volume = "68",
   pages = "215--223",
   kwds = "svd, pert",
}

@article{chip:94,
   author = "S. Chandrasekaran and I. C. F. Ipsen",
   year = "1994",
   title = "On Rank-Revealing Factorizations",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "592--622",
   kwds = "qrd, rank, rrqr"
}

@article{chip:95,
   author = "S. Chandrasekaran and I. C. F. Ipsen",
   year = "1995",
   title = "Analysis of a {QR} Algorithm for Computing Singular Values",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "16",
   pages = "520--535",
   kwds = "svd, ord, rrqr",
}

@phdthesis{chan:97,
   author = "X.-W. Chang",
   year = "1997",
   title = "Perturbation Analyses of some Matrix Factorizations",
   school = "School of Computer Science",
   address = "McGill University, Montre\'al, Qu\'ebec, Canada",
   type = "{Ph.D.} thesis",
   kwds = "pert, chol, qrd"
}

@article{chps:96a,
   author = "X.-W. Chang and C. C. Paige and G. W. Stewart",
   year = "1996",
   title = "New Perturbation Analyses for the {Cholesky} Factorization",
   journal = "IMA J. Numer. Anal.",
   volume = "16",
   pages = "457--484",
   kwds = "chol, pert"
}

@article{chps:97,
   author = "X.-W. Chang and C. C. Paige and G. W. Stewart",
   year = "1997",
   title = "Perturbation Analysis for the {QR} Factorization",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "18:3",
   pages = "775--791",
   kwds = "qrd, pert"
}

@article{chpa:98,
   author = "X.-W. Chang and C. C. Paige",
   year = "1998",
   title = "Perturbation Analysis for the {Cholesky} Downdating Problem",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "19",
   pages = "429--443",
   kwds = "chol, downd"
}

@article{chvv:88,
   author = "J. Charlier and M. Vanbegin and P. {Van Dooren}",
   year = "1988",
   title = "On Efficient Implementations of {Kogbetliantz's} Algorithm
		  for Computing the Singular Value Decomposition",
   journal = "Numer. Math.",
   volume = "52",
   pages = "279--300",
   kwds = "svd, prll "
}

@article{chhe:93,
   author = "S. Chatterjee and G. Heller",
   year = "1993",
   title = "The Numerical Effect of Measurement Error in the Explanatory
	Variables on the Observed Least Squares Estimate",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "14",
   pages = "677--687",
   kwds = "err, regr"
}

@techreport{chen:75,
   author = "Y. T. Chen",
   year = "1975",
   title = "Iterative Methods for Linear Least Squares Problems",
   institution = "University of Waterloo, Canada",
   type = "{Tech. Report}",
   number = "CS-75-04",
   note = "",
   kwds = "iter"
}

@article{chte:72,
   author = "Y. T. Chen and R. P. Tewarson",
   year = "1972",
   title = "On the Fill-in when Sparse Vectors are Orthonormalized",
   journal = "Computing",
   volume = "9",
   pages = "53--56",
   kwds = "sparse, orth"
}


@phdthesis{chu:88,
   author = "E. C. H. Chu",
   year = "1988",
   title = "Orthogonal Decomposition of Dense and Sparse Matrices on Multiprocessors",
   school = "University of Waterloo",
   address = "Canada",
   type = "{Ph.D.} thesis",
   kwds = "qrd, prll"
}


@article{chge:89,
   author = "E. C. H. Chu and J. A. George",
   year = "1989",
   title = "{QR} Factorization of a Dense Matrix on a Hypercube Multiprocessor",
   journal = "Parallel Comput.",
   volume = "11",
   pages = "55--71",
   kwds = "qrd, prll"
}

@techreport{chgl:84,
   author = "E. C. H. Chu and J. A. George and J. Liu and E. Ng",
   year = "1984",
   title = "{SPARSPAK}: Waterloo Sparse Matrix Package User's Guide for 
	{SPARSPAK-A}",
   institution = "Department of Computer Science, University of Waterloo",
   address = "Canada",
   type = "Res. Report",
   number = "CS-84-36",
   note = "",
   kwds = "sparse, soft"
}

@article{chkl:87,
   author = "J. Chun and T. Kailath and H. Lev-Ari",
   year = "1987",
   title = "Fast Parallel Algorithms for {QR} and Triangular Factorizations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "899--913",
   kwds = "qrd, toep,prll"
}

ci-

@article{cimm:39,
   author = "G. Cimmino",
   year = "1939",
   title = "Calcolo approssimato per le soluzioni dei sistemi di equazioni
	lineari",
   journal = "Ric. Sci. Progr. Tecn. Econom. Naz.",
   volume = "9",
   pages = "326--333",
   kwds = "iter, prll"
}

cl-

@article{clos:86,
   author = "D. I. Clark and M. R. Osborne",
   year = "1986",
   title = "Finite Algorithms for {Hubers's} {M}-Estimator",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "72--85",
   kwds = "err"
}

@article{clos:88,
   author = "D. I. Clark and M. R. Osborne",
   year = "1988",
   title = "On Linear Restricted and Interval Least-squares Problems",
   journal = "IMA J. Numer. Anal.",
   volume = "8",
   pages = "23--36",
   kwds = "err"
}

@article{clin:73,
   author = "A. K. Cline",
   year = "1973",
   title = "An Elimination Method for the Solution of Linear Least 
	squares problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "10",
   pages = "283--289",
   kwds = "lud, ne"
}

@techreport{clin:75,
   author = "A. K. Cline",
   year = "1975",
   title = "The Transformation of a Quadratic Programming Problem into 
	Solvable Form",
   institution = "NASA, Langley Research Center, Hampton, VA.",
   type = "{Tech. Report}",
   number = "ICASE 75-14",
   note = "",
   kwds = "quadpr"
}

@incollection{clcv:82,
   author = "A. K. Cline and A. R. Conn and C. F. {Van Loan}",
   year = "1982",
   title = "Generalizing the {LINPACK} Condition Estimator",
   editor = "J. P. Hennart",
   booktitle = "Numerical Analysis", 
   publisher = "Springer-Verlag, Berlin",
   series = "Lecture Notes in Mathematics",
   volume = "909",
   kwds = "cond, err"
}

@article{clms:79,
   author = "A. K. Cline and C. B. Moler and G. W. Stewart and J. H. Wilkinson",
   year = "1979",
   title = "An Estimate for the Condition Number of a Matrix",
   journal = "SIAM J. Numer. Anal.",
   volume = "16",
   pages = "368--375",
   kwds = "cond, err"
}

@article{clpl:76,
   author = "R. E. Cline and R. J. Plemmons",
   year = "1976",
   title = "$\ell_2$-solutions to Underdetermined Linear Systems",
   journal = "SIAM Review",
   volume = "18",
   pages = "92--106",
   kwds = "uds"
}

co-

@article{cogt:91,
   author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint",
   year = "1991",
   title = "A Globally Convergent Augmented Lagrangian Algorithm for Optimization with
    General Constraints and Simple Bounds",
   journal = "SIAM J. Numer. Anal.",
   volume = "28",
   pages = "545--572",
   kwds = "nnls, bls"
}

@book{cogt:92,
   author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint",
   year = "1992",
   title = "{LANCELOT}: {A} {F}ortran Package for Large-Scale Nonlinear Optimization.
    ({Release A})",
   publisher = "Springer-Verlag",
   address = "Berlin",
   kwds = "nnls, bls"
}


@incollection{cool:90,
   author = "J. W. Cooley",
   year = "1990",
   title = "How the {FFT} Gained Acceptance",
   editor = "S. G. Nash",
   booktitle = "A History of Scientific Computing", 
   publisher = "Addison-Wesley, Reading, MA",
   pages = "133--140",
   kwds = "fft"
}

@article{cotu:65,
   author = "J. W. Cooley and J. W. Tukey",
   year = "1965",
   title = "An Algorithm for the Machine Calculation of Complex
		  {Fourier} Series",
   journal = "Math. Comp.",
   volume = "19",
   pages = "297--301",
   kwds = "fft"
}

@article{colw:69,
   author = "J. W. Cooley and P. A. W. Lewis and P. D. Welsh",
   year = "1969",
   title = "The Fast {Fourier} Transform and its Application",
   journal = "IEEE Trans. Education",
   volume = "E-12",
   pages = "27--34",
   kwds = "fft"
}

@article{coeg:86,
   author = "T. F. Coleman and A. Edenbrandt and J. R. Gilbert",
   year = "1986",
   title = "Predicting Fill for Sparse Orthogonal Factorization",
   journal = "J. Assoc. Comput. Mach.",
   volume = "33",
   pages = "517--532",
   kwds = "sparse, fill"
}

@article{cohu:89,
   author = "T. F. Coleman and L. A. Hulbert",
   year = "1989",
   title = "A Direct Active Set Algorithm for Large Sparse Quadratic
		  Programs with Simple Lower Bounds",
   journal = "Math. Programming",
   volume = "45",
   pages = "373--406",
   kwds = "sparse, constr"
}

@article{cohu:93,
   author = "T. F. Coleman and L. A. Hulbert",
   year = "1993",
   title = "A Globally and Superlinearly Convergent Algorithm for Convex Quadratic
		  Programs with Simple Bounds",
   journal = "SIAM J. Optim.",
   volume = "3",
   pages = "298--321",
   kwds = "sparse, constr"
}

@article{coli:92,
   author = "T. F. Coleman and Y. Li",
   year = "1992",
   title = "A Global and Quadratically Convergent Affine Scaling
		  Method for Linear $l_1$ Problems",
   journal = "Math. Programming",
   volume = "56",
   pages = "189--222",
   kwds = "rob"
}

@article{coli:92a,
   author = "T. F. Coleman and Y. Li",
   year = "1992",
   title = "A Global and Quadratically Convergent Affine Scaling
		  Method for Linear $l_\infty$ Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "29",
   pages = "1166--1186",
   kwds = "cheb"
}

@techreport{coli:93,
   author = "T. F. Coleman and Y. Li",
   year = "1993",
   title = "An Interior {Newton} Method for Quadratic Programming",
   institution = "Department of Computer Science, Cornell University",
   address = "Ithaca, NY",
   type = "{Tech. Report}",
   number = "TR 93-1388",
   kwds = "constr"   
}

@article{copo:86,
   author = "T. F. Coleman and A. Pothen",
   year = "1986",
   title = "The Null Space Problem I: Complexity",
   journal = "SIAM J. Alg. Disc. Meth.",
   volume = "7",
   pages = "527--537",
   kwds = "sparse, nullsp"
}

@article{copo:87,
   author = "T. F. Coleman and A. Pothen",
   year = "1987",
   title = "The Null Space Problem II: Algorithms",
   journal = "SIAM J. Alg. Disc. Meth.",
   volume = "8",
   pages = "544-563",
   kwds = "sparse, nullsp"
}

@article{cott:74,
   author = "R. W. Cottle",
   year = "1974",
   title = "Manifestations of the {Schur} Complement",
   journal = "Linear Algebra Appl.",
   volume = "8",
   pages = "189--211",
   kwds = " augms"
}

@inproceedings{cott:77,
   author = "R. W. Cottle",
   year = "1977",
   title = "Numerical Methods for Complementarity Problems in
		  Engineering and Applied Science",
   pages = "37--52",
   editor = "R. Glowinski and J. L. Lions",
   booktitle = "Computing Methods in Applied Sciences and Engineering",
   publisher = "Springer-Verlag, New York",
   series = "Lecture Notes in Mathematics",
   volume = "704",
   kwds = "constr, iter"
}

@article{cogs:78,
   author = "R. W. Cottle and G. H. Golub and R. S. Sacher",
   year = "1978",
   title = "On the Solution of Large Structured Linear Complementarity
		  Problems: The Block Partitioned Case",
   journal = "Appl. Math. Optim.",
   volume = "4",
   pages = "347--363",
   kwds = " augms"
}


@phdthesis{cox:97,
   author = "A. J. Cox",
   year = "1997",
   title = "Stability of Algorithms for Solving Weighted and Constrained
		  Least Squares Problems",
   school = "University of Manchester",
   address = "Manchester, England",
   type = "{Ph.D.} thesis",
   kwds = "wlsq, constr"
}

@techreport{cohi:97,
   author = "A. J. Cox and N. J. Higham",
   year = "1997",
   title = "Stability of {H}ouseholder {QR} Factorization for Weighted
		  Least Squares Problems",
   institution = "Manchester Centre for Computational Mathematics",
   address = "Manchester, England",
   type = "{Numerical Analysis Report}",
   number = "301, February 1997",
   kwds = "wlsq"
}

@article{cohi:99a,
   author = "A. J. Cox and N. J. Higham",
   year = "1999",
   title = "Accuracy and Stability of the Null Space Method for Solving 
       Equality Constrained Least Squares Problems",
   journal = "BIT",
   volume = "39:1",
   pages = "34--50",
   kwds = "constr, err"
}

@article{cohi:99b,
   author = "A. J. Cox and N. J. Higham",
   year = "1999",
   title = "Backward Error Bounds for Constrained Least Squares Problems",
   journal = "BIT",
   volume = "39:2",
   pages = "210--227",
   kwds = "constr, err"
}

@article{cox:81,
   author = "M. G. Cox",
   year = "1981",
   title = "The Least Squares Solution of Overdetermined Linear Equations
	having Band or Augmented Band Structure",
   journal = "IMA J. Numer. Anal.",
   volume = "1",
   pages = "3--22",
   kwds = "sparse, band"
}

@incollection{cox:90,
   author = "M. G. Cox",
   year = "1990",
   title = "The Least-squares Solution of Linear Equations with Block-angular 
	Observation Matrix",
   pages = "227--240",
   booktitle = "Reliable Numerical Computation",
   editor = "M. G. Cox and S. J. Hammarling", 
   publisher = "Oxford University Press, UK",
   kwds = "sparse, basys"
}

@article{crai:55,
   author = "E.~J. Craig",
   year = "1955",
   title = "The $N$-step Iteration Procedure",
   journal = "J. Math. Phys.",
   volume = "34",
   pages = "65--73",
   kwds = "iter, cg"
}

@techreport{crgh:80,
   author = "R. L. Crane and B. S. Garbow and K. E. Hillstrom and M. Minkoff",
   year = "1980",
   title = "{LCLSQ}: An Implementation of an Algorithm for Linearly Constrained 
	Linear Least Squares",
   institution = "Argonne National Laboratory",
   address = " Argonne, IL",
   type = "{Tech. Report}",
   number = "ANL-80-116",
   kwds = "constr"
}

@article{crwa:79,
   author = "P. Craven and G. Wahba",
   year = "1979",
   title = "Smoothing Noisy Data with Spline Functions",
   journal = "Numer. Math.",
   volume = "31",
   pages = "377--403",
   kwds = "spline, regul"
}

@article{crye:71,
   author = "C. Cryer",
   year = "1971",
   title = "The Solution of a Quadratic Programming Problem using 
	Systematic Overrelaxation",
   journal = " SIAM J. Control Optim.",
   volume = "9",
   pages = "385--392",
   kwds = "quadpr, iter"
}

@article{cuwl:83,
   author = "J. K. Cullum and R. A. Willoughby and M. Lake",
   year = "1983",
   title = "A {Lanczos} Algorithm for Computing Singular Values and Vectors of 
	Large Matrices",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "4",
   pages = "197--215",
   kwds = "svd, lanczos"
}

@book{cuwi:85,
   author = "J. K. Cullum and R. A. Willoughby",
   year = "1985",
   title = "{Lanczos} Algorithms for Large Symmetric Eigenvalue Computations",
   volume = "1 Theory. 2 Programs",
   publisher = "Birkh{\"a}user",
   address = "Stuttgart",
   kwds = "lanczos"
}

@inproceedings{cuth:72,
   author = "E. Cuthill",
   year = "1972",
   title = "Several Strategies for Reducing the Bandwidth of Matrices",
   pages = "157--166",
   editor = "D. J. Rose and R. A. Willoughby",
   booktitle = "Sparse Matrices and Their Applications",
   publisher = "Plenum Press, New York",
   kwds = "sparse, fill, band"
}

@article{cybe:84,
   author = "G. Cybenko",
   year = "1984",
   title = "The Numerical Stability of the Lattice Algorithm for Least
	Squares Linear Prediction Problems",
   journal = "BIT",
   volume = "24",
   pages = "441--455",
   kwds = "err, toep"
}

@article{cybe:87,
   author = "G. Cybenko",
   year = "1987",
   title = "Fast {Toeplitz} Orthogonalization Using Inner Products",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "734--740",
   kwds = "qrd, toep"
}

da- 

@article{dass:68,
   author = "G. Dahlquist and B. Sj{\"o}berg and P. Svensson",
   year = "1968",
   title = "Comparison of the Method of Averages with the Method of
		  Least Squares",
   journal = "Math. Comp.",
   volume = "22",
   pages = "833--846",
   kwds = "appr"
}

@article{dgks:76,
   author = "J. Daniel and W. B. Gragg and L. Kaufman and G. W. Stewart",
   year = "1976",
   title = "Reorthogonalization and Stable Algorithms for Updating the 
	{Gram-Schmidt} {QR} Factorization",
   journal = "Math. Comp.",
   volume = "30",
   pages = "772--95",
   kwds = "qrd, orth, upd, downd"
}

@book{dawo:80,
   author = "C. Daniel and F. S. Wood",
   year = "1980",
   title = "Fitting Equations to Data, {\rm 2nd ed.}",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, regr"
}

@article{daka:70,
   author = "C. Davis and W. Kahan",
   year = "1970",
   title = "The Rotation of Eigenvectors by a Perturbation {III}",
   journal = "SIAM J. Numer. Anal.",
   volume = "7",
   pages = "1--46",
   kwds = "eig, csd"
}

@article{daxa:89,
   author = "A. Dax",
   year = "1989",
   title = "The $\ell_1$ Solution of Linear Equations Subject to Linear 
	Constraints",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "10",
   pages = "328--340",
   kwds = "rob, constr"
}

@article{daxa:93,
   author = "A. Dax",
   year = "1993",
   title = "On Row Relaxation Methods for Large Constrained Least
		  Squares Problems",
   journal = "SIAM J. Sci. Comput.",
   volume = "14",
   pages = "570--584",
   kwds = "iter, constr"
}

de- 

@article{deba:79,
   author = "L. M. Delves and I. Barrodale",
   year = "1979",
   title = "A Fast Direct Method for the Least Squares Solution of Slightly 
	Overdetermined Sets of Linear Equations",
   journal = "J. Inst. Maths. Applic.",
   volume = "24",
   pages = "149--156",
   kwds = "lud"
}

@article{deme:89,
   author = "C.~J. Demeure",
   year = "1989",
   title = "Fast {QR} Factorization of {Vandermonde} Matrices",
   journal = "Linear Algebra Appl.",
   volume = "122/3/4",
   pages = "165--194",
   kwds = "vand"
}

@article{deme:90,
   author = "C.~J. Demeure",
   year = "1990",
   title = "{QR} Factorization of Confluent {Vandermonde} Matrices",
   journal = "IEEE Trans. Acoust. Speech Signal Process.",
   volume = "38 (10)",
   pages = "1799--1802",
   kwds = "vand"
}

@article{demm:87,
   author = "J. Demmel",
   year = "1987",
   title = "The Smallest Perturbation of a Submatrix which Lowers the Rank and
            Constrained Total Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "24",
   pages = "199-206",
   kwds = "max, tls, constr, rank"
}

@incollection{dehv:93,
   author = "J. Demmel and M. Heath and H. van der Vorst",
   year = "1993",
   title = "Parallel Numerical Linear Algebra",
   booktitle = "Acta Numerica",
   editor = "A. Iserles",
   publisher = "Cambridge University Press",
   volume = "2",
   pages = "111--197",
   kwds ="survey, prll"
}

@article{dehi:93,
   author = "J. Demmel and N. J. Higham",
   year = "1993",
   title = "Improved Error Bounds for Underdetermined System Solvers",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "14",
   pages = "1--14",
   kwds ="uds, err"
}

@article{deka:90,
   author = "J. Demmel and W. Kahan",
   year = "1990",
   title = "Accurate Singular Values of Bidiagonal Matrices",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "11",
   pages = "873--912",
   kwds = "svd, err"
}

@article{demo:93,
   author = "B. {De Moor}",
   year = "1993",
   title = "Structured Total Least Squares and $L_2$ Approximation Problems",
   journal = "Linear Algebra Appl.",
   volume = "188/189",
   pages = "163--206",
   kwds = "tls, signal, struct"
}

@article{demo:94,
   author = "B. {De Moor}",
   year = "1994",
   title = "On the Structure of Generalized Singular Value and {QR} Decompositions",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "347--358",
   kwds = "qr, gsvd, struct"
}

@techreport{dego:89,
   author = "B. {De Moor} and G. H. Golub",
   year = "1989",
   title = "Generalized Singular Value Decomposition: A Proposal for a
		  Standard Nomenclature",
   institution = "Numerical Analysis Project",
   address = "Stanford University, CA",   
   type = "{Tech. Report}",
   number = "NA-89-05",
   kwds = "gsvd, glsq, tls, signal"
}


@article{dego:91,
   author = "B. {De Moor} and G. H. Golub",
   year = "1991",
   title = "The Restricted Singular Value Decomposition: Properties
	and Applications",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "12",
   pages = "401--425",
   kwds = "gsvd, glsq, tls, signal"
}

@article{devd:92,
   author = "B. {De Moor} and P. {Van Dooren}",
   year = "1992",
   title = "Generalizations of the  Singular Value and {QR} Decompositions",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "13",
   pages = "993--1014",
   kwds = "gsvd, gqrd"
}

@article{dezh:91,
   author = "B. {De Moor} and H. Zha",
   year = "1991",
   title = "A Tree of Generalizations of the Ordinary Singular Value Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "147",
   pages = "469--500",
   kwds = "gsvd"
}


@inproceedings{denn:77,
   author = "J. E. Dennis",
   year = "1977",
   title = "Nonlinear Least Squares and Equations",
   pages = "269--312",
   booktitle = "The State of the Art in Numerical Analysis",
   editor = "D. A. H. Jacobs",
   publisher = "Academic Press, New York",
   kwds = "nlsq, survey"
}

@article{degw:81,
   author = "J. E. Dennis and D. M. Gay and R. E. Welsch",
   year = "1981",
   title = "An Adaptive Nonlinear Least-squares Algorithm",
   journal = "ACM Trans. Math. Software",
   volume = "7",
   pages = "348--368",
   kwds = "nlsq"
}

@article{degw:81a,
   author = "J. E. Dennis and D. M. Gay and R. E. Welsch",
   year = "1981",
   title = "Algorithm {\rm 573} {NL{\rm 2}SOL}: An Adaptive Nonlinear Least-squares 
	Algorithm",
   journal = "ACM Trans. Math. Software",
   volume = "7",
   pages = "369--383",
   kwds = "nlsq, soft"
}

@article{degw:83,
   author = "J. E. Dennis and D. M. Gay and R. E. Welsch",
   year = "1983",
   title = "Remark on Algorithm {\rm 573}",
   journal = "ACM Trans. Math. Software",
   volume = "9",
   pages = "139",
   kwds = "nlsq, soft"
}

@book{desc:83,
   author = "J. E. Dennis and R. B. Schnabel",
   year = "1983",
   title = "Numerical Methods for Unconstrained Optimization and 
          Nonlinear Equations",
   publisher = "Prentice Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "nlsq,opt"
}

@article{dest:86,
   author = "J. E. Dennis and T. Steihaug",
   year = "1986",
   title = "On the Successive Projection Approach to Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "23",
   pages = "717--733",
   kwds = "iter, sparse, prll"
}

@inproceedings{deap:78,
   author = "P. Deuflhard and V. Apostolescu",
   year = "1978",
   title = "An Underrelaxed {Gauss--Newton} Method for Equality Constrained 
	Nonlinear Least Squares",
   booktitle = "Proceedings 8th IFIP Conference on Optimization Techniques",
   editor = "J. Stoer",
   publisher = "Springer-Verlag, Berlin", 
   series = "Lecture Notes in Control and Information Science",
   volume = "7",
   pages = "22--32",
   kwds = "nlsq, constr"
}

@inproceedings{deap:80,
   author = "P. Deuflhard and V. Apostolescu",
   year = "1980",
   title = "A Study of the {Gauss--Newton} Algorithm for the Solution of 
	Nonlinear Least Squares Problems",
   booktitle = "Special Topics of Applied Mathematics",
   editor = "J. Frehse and D. Pallaschke and U. Trottenberg",
   publisher = "North-Holland, Amsterdam",
   kwds = "nlsq"
}

@article{desa:80,
   author = "P. Deuflhard and W. Sautter",
   year = "1980",
   title = "On Rank-Deficient Pseudoinverses",
   journal = "Linear Algebra Appl.",
   volume = "29",
   pages = "91--111",
   kwds = "rank,ginv"
}

@book{dobm:79,
   author = "J. Dongarra and J. R. Bunch and C. B. Moler and G. W. Stewart",
   year = "1979",
   title = "LINPACK Users' Guide",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "lud, cond, qrd, svd, upd, downd, soft, survey"
}

@article{dodd:90,
   author = "J. J. Dongarra and J. {Du Croz}
             and I. S. Duff and S. Hammarling",
   year = "1990",
   title = "A Set of Level {\rm 3} Basic Linear Algebra Subprograms",
   journal = "ACM Trans. Math. Software",
   volume = "16",
   pages = "1--17",
   kwds = "prll, blas, soft"
}

@article{ddhh:88,
   author = "J. J. Dongarra and J. {Du Croz} and
             S. Hammarling and R. J. Hanson",
   year = "1988",
   title = "An Extended Set of {Fortran} Basic Linear Algebra
            Subprograms",
   journal = "ACM Trans. Math. Software",
   volume = "14",
   pages = "1--17",
   kwds = "blas, prll, soft"
}

@article{dogr:87,
   author = "J. J. Dongarra and E. Grosse",
   year = "1987",
   title = "Distribution of Mathematical Software via Electronic Mail",
   journal = "Comm. ACM",
   volume = "30",
   pages = "403--407",
   kwds = "soft"
}

@article{drma:98,
   author = "Z. Drma\v{c}",
   year = "1998",
   title = "Implementation of {Jacobi} Rotations for Accurate
		  Singular Value Computation in Floating Point Arithmetic",
   journal = "SIAM J. Sci. Comput.",
   volume = "18",
   pages = "1200--1222",
   kwds = "svd,err"
}

@book{drsm:81,
   author = "N. R. Draper and H. Smith",
   year = "1981",
   title = "Applied Regression Analysis, {\rm 2nd ed.}",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, regr"
}

@article{duff:74,
   author = "I. S. Duff",
   year = "1974",
   title = "Pivot Selection and Row Orderings in {Givens} Reduction on Sparse 
	Matrices",
   journal = "Computing",
   volume = "13",
   pages = "239--248",
   kwds = "perm, sparse, fill"
}

@article{duff:77,
   author = "I. S. Duff",
   year = "1977",
   title = "A Survey of Sparse Matrix Research",
   journal = "Proceedings of the IEEE",
   volume = "65",
   pages = "500--535",
   kwds = "survey, sparse"
}

@article{duff:77a,
   author = "I. S. Duff",
   year = "1977",
   title = "On Permutations to Block Triangular Form",
   journal = "J. Inst. Maths. Applic.",
   volume = "19",
   pages = "339--342",
   kwds = "survey, sparse"
}

@article{duff:81,
   author = "I. S. Duff",
   year = "1981",
   title = "On Algorithms for Obtaining a Maximum Transversal",
   journal = "ACM Trans. Math. Software",
   volume = "7",
   pages = "315--330",
   kwds = "perm, sparse"
}

@article{duff:86,
   author = "I. S. Duff",
   year = "1986",
   title = "Parallel Implementation of Multifrontal Schemes",
   journal = "Parallel Computing",
   volume = "3",
   pages = "193--204",
   kwds = "prll, sparse"
}

@inproceedings{duff:94,
   author = "I. S. Duff",
   year = "1994",
   title = "The Solution of Augmented Systems",
   pages = "",
   booktitle = "Numerical Analysis 1993: Proceedings of the 15th 
	Dundee Conference, June 1993",
   editor = "D. F. Griffiths and G. A. Watson",
   publisher = "Longman Scientific and Technical, Harlow, UK",
   series = "Pitman Research Notes in Mathematics",
   kwds = "sparse, aug, soft"
}

@inproceedings{duff:97,
   author = "I. S. Duff",
   year = "1997",
   title = "Sparse Numerical Linear Algebra: Direct Methods 
         and Preconditioning",
   booktitle = "The State of the Art in Numerical Analysis",
   editor = "I. S. Duff and G. A. Watson",
   pages = "27--62",
   publisher = "Oxford University Press, London, UK",
   kwds = "la, stat"
}

@book{duer:86,
   author = "I. S. Duff and A. M. Erisman and J. K. Reid",
   year = "1986",
   title = "Direct Methods for Sparse Matrices",
   publisher = "Oxford University Press",
   address = "London",
   kwds = "sparse, survey"
}


@article{dume:89,
   author = "I. S. Duff and G. A. Meurant",
   year = "1989",
   title = "The Effect of Ordering on Preconditioned Conjugate Gradients",
   journal = "BIT",
   volume = "29",
   pages = "635--657",
   kwds = "sparse, precond "
}

@article{dugr:91,
   author = "I. S. Duff and N. I. M. Gould and J. K. Reid and J. A. Scott
		and K. Turner",
   year = "1991",
   title = "The Factorization of Sparse Symmetric Indefinite Matrices",
   journal = "IMA J. Numer. Anal.",
   volume = "11",
   pages = "181--204",
   kwds = "sparse, augms "
}

@article{dugl:89,
   author = "I. S. Duff and R. G. Grimes and J. G. Lewis",
   year = "1989",
   title = "Sparse Matrix Test Problems",
   journal = "ACM Trans. Math. Software",
   volume = "15",
   pages = "1--14",
   kwds = "sparse, soft, test"
}

@techreport{dugl:92,
   author = "I. S. Duff and R. G. Grimes and J. G. Lewis",
   year = "1992",
   title = "User's Guide for {Harwell-Boeing} Sparse Matrix Test Problems
	Collection",
   institution = "Computing and Information Systems Department",
   address = "Rutherford Appleton Laboratory, Didcot, UK",
   type = "{Tech. Report}",
   number = "RAL-92-086",
   kwds = "sparse, soft, test"
}

@techreport{dumr:95,
   author = "I. S. Duff and M. Marrone and G. Radicati and C. Vittoli",
   year = "1995",
   title = "A Set of Level {\rm 3} Basic Linear Algebra Subprograms for
		  Sparse Matrices",
   institution = "Computing and Information Systems Department",
   address = "Rutherford Appleton Laboratory, Didcot, UK",
   type = "{Tech. Report}",
   number = "RAL-TR-95-049",
   kwds = "soft"
}

@article{dumn:79,
   author = "I. S. Duff and N. Munksgaard and H. B. Nielsen and J. K. Reid",
   year = "1979",
   title = "Direct Solution of Sets of Linear Equations whose Matrix is 
	Sparse Symmetric and Indefinite",
   journal = "J. Inst. Maths. Applic.",
   volume = "23",
   pages = "235--250",
   kwds = "sparse, augms"
}

@article{dure:76,
   author = "I. S. Duff and J. K. Reid",
   year = "1976",
   title = "A Comparison of Some Methods for the Solution of Sparse 
	Overdetermined Systems of Linear Equations",
   journal = "J. Inst. Maths. Applic.",
   volume = "17",
   pages = "267--280",
   kwds = "sparse, survey"
}

@article{dure:78,
   author = "I. S. Duff and J. K. Reid",
   year = "1978",
   title = "An Implementation of {Tarjan's} Algorithm for the Block
	Triangularization of a Matrix",
   journal = "ACM Trans. Math. Software",
   volume = "4",
   pages = "137--147",
   kwds = "sparse, graph"
}

@article{dure:79,
   author = "I. S. Duff and J. K. Reid",
   year = "1979",
   title = "Some Design Features of a Sparse Matrix Code",
   journal = "ACM Trans. Math. Software",
   volume = "5",
   pages = "18--35",
   kwds = "sparse,lud"
}

@techreport{dure:82,
   author = "I. S. Duff and J. K. Reid",
   year = "1982",
   title = "{MA{\rm 27}}---{A} Set of {Fortran} Subroutines for
		  Solving Sparse Symmetric 
	Sets of Linear Equations",
   institution = "AERE, Harwell",
   address = "Oxfordshire, UK",
   type = "{Tech. Report}",
   number = "R.10533",
   kwds = "sparse, soft"
}


@article{dure:83,
   author = "I. S. Duff and J. K. Reid",
   year = "1983",
   title = "The Multifrontal Solution of Indefinite Sparse Symmetric 
	Linear Systems",
   journal = "ACM Trans. Math. Software",
   volume = "9",
   pages = "302--325",
   kwds = "sparse,multfr "
}

@techreport{dure:95,
   author = "I. S. Duff and J. K. Reid",
   year = "1995",
   title = "{MA{\rm 47}}, {A Fortran} Code for Direct Solution of
		  Indefinite Sparse Symmetric Linear Systems",
   institution = "Rutherford Appleton Laboratory",
   address = "Didcot, UK",
   type = "{Tech. Report}",
   number = "RAL-95-001",
   kwds = "sparse, soft"
}

@book{dust:78,
   editor = "I. S. Duff and G. W. Stewart",
   year = "1978",
   title = "Sparse Matrix Proceedings",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "sparse, survey"
}

@article{dufo:64,
   author = "H. M. Dufour",
   year = "1964",
   title = "R{\'e}solution des Systemes Lin{\'e}aires par la M{\'e}thode des
		  R{\'e}sidues Conjugu{\'e}s",
   journal = "Bull. G{\'e}od{\'e}sique",
   volume = "71",
   pages = "65--87",
   kwds = "sparse, cg "
}

@article{dume:58,
   author = "A.~L. Dulmage and N.~S. Mendelsohn",
   year = "1958",
   title = "Coverings of Bipartite Graphs",
   journal = "Canad. J. Math.",
   volume = "10",
   pages = "517--534",
   kwds = "sparse, graph "
}

@article{dume:59,
   author = "A.~L. Dulmage and N.~S. Mendelsohn",
   year = "1959",
   title = "A Structure Theory of Bipartite Graphs of Finite Exterior Dimension",
   journal = "Trans. Roy. Soc. Canada",
   volume = "53, III",
   pages = "1--13",
   kwds = "sparse, graph "
}

@article{dume:63,
   author = "A.~L. Dulmage and N.~S. Mendelsohn",
   year = "1963",
   title = "Two Algorithms for Bipartite Graphs",
   journal = "J. Soc. Indust. Appl. Math.",
   volume = "11",
   pages = "183--194",
   kwds = "sparse, graph "
}

@article{dwye:44,
   author = "P. S. Dwyer",
   year = "1944",
   title = "A Matrix Presentation of Least Squares and Correlation Theory 
            with Matrix Justification of Improved Methods of Solution",
   journal = "Ann. Math. Statist.",
   volume = "15",
   pages = "82-89",
   kwds = "stat, regr"
}

@article{dwye:45,
   author = "P. S. Dwyer",
   year = "1945",
   title = "The Square Root Method and its Use in Correlation and Regression",
   journal = " J. Amer. Statist. Assoc.",
   volume = "40",
   pages = "493--503",
   kwds = "chol, regr"
}

@book{dwye:51,
   author = "P. S. Dwyer",
   year = "1951",
   title = "Linear Computations",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, regr, survey"
}	

@article{ecyo:36,
   author = "C. Eckhart and G. Young",
   year = "1936",
   title = "The Approximation of One Matrix by Another of Lower Rank",
   journal = "Psychometrica",
   volume = "1",
   pages = "211--218",
   kwds = "max, rank"
}

@techreport{eila:75,
   author = "E. L. Eichhorn and C. L. Lawson",
   year = "1975",
   title = "An {ALGOL} Procedure for Solution of Constrained Least 
	Squares Problems",
   institution = "JPL",
   address = "Pasadena, CA",
   type = "Computing Memorandum",
   number = "No. 374",
   kwds = "constr, soft"
}

@article{eiss:81,
   author = "S. C. Eisenstat and M. H. Schultz and A. H. Sherman",
   year = "1981",
   title = "Algorithms and Data Structures for Sparse Symmetric {Gaussian} 
	Elimination",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "2",
   pages = "225--237",
   kwds = "sparse, soft, ne"
}


@article{eigs:82,
   author = "S. C. Eisenstat and M. C. Gurky and M. H. Schultz and A. H. Sherman",
   year = "1982",
   title = "Yale Sparse Matrix Package, {\rm 1:} {The} Symmetric Codes.",
   journal = "Internat. J. Numer. Methods Engrg.",
   volume = "18",
   pages = "235--250",
   kwds = "sparse, soft, ne"
}

@article{eiip:95,
   author = "S. C. Eisenstat and I.~C.~F. Ipsen",
   year = "1995",
   title = "Relative Perturbation Techniques for Singular Value Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "32",
   pages = "1972--1988",
   kwds = "svd, pert",
}

@article{ekbl:88,
   author = "H. Ekblom",
   year = "1988",
   title = "A New Algorithm for the {Huber} Estimator in Linear Models",
   journal = "BIT",
   volume = "28",
   pages = "60--76",
   kwds = "rob, regr"
}

@article{elde:77,
   author = "L. Eld\'en",
   year = "1977",
   title = "Algorithms for the Regularization of Ill-conditioned Least 
	Squares Problems",
   journal = "BIT",
   volume = "17",
   pages = "134--145",
   kwds = "regul, illp"
}

@article{elde:80,
   author = "L. Eld\'en",
   year = "1980",
   title = "Perturbation Theory for the Least Squares Problem with Linear 
            Equality Constraints",
   journal = "SIAM J. Numer. Anal.",
   volume = "17",
   pages = "338--350",
   kwds = "pert, constr"
}

@article{elde:83,
   author = "L. Eld\'en",
   year = "1983",
   title = "A Weighted Pseudoinverse, Generalized Singular Values, and 
            Constrained Least Squares Problems",
   journal = "BIT",
   volume = "22",
   pages = "487--502",
   kwds = "ginv, constr, wlsq"
}

@article{elde:84,
   author = "L. Eld\'en",
   year = "1984",
   title = "An Efficient Algorithm for the Regularization of Ill-conditioned 
	Least Squares Problems with a Triangular {Toeplitz} Matrix",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "229--236",
   kwds = "regul, illp, toep"
}

@article{elde:84a,
   author = "L. Eld\'en",
   year = "1984",
   title = "An Algorithm for the Regularization of Ill-conditioned Banded 
	Least Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "237--254",
   kwds = "regul, illp"
}


@article{elde:84c,
   author = "L. Eld\'en",
   year = "1984",
   title = "A Note on the Computation of the Generalized Cross-validation 
	Function for Ill-conditioned Least Squares Problems",
   journal = "BIT",
   volume = "24",
   pages = "467--472",
   kwds = "regul, illp"
}

@techreport{elde:88,
   author = "L. Eld\'en",
   year = "1988",
   title = "Parallel {QR} Decomposition of a Rectangular Matrix",
   institution = "Link{\"o}ping University",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "LiTH-MAT-R-78-3",
   kwds = "qrd, prll"
}

@article{elde:02,
   author = "L. Eld\'en",
   year = "2002",
   title = "Solving Quadratically Constrained Least Squares Problems Using a 
Differential-Geometric Approach",
   journal = "BIT",
   volume = "42:2",
   pages = "323--335",
   kwds = "regul, illp"
}

@article{elpa:94,
   author = "L. Eld\'en and H. Park",
   year = "1994",
   title = "Block Downdating of Least Squares Solutions",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "15",
   pages = "1018--1034",
   kwds = "upd, block"
}

@article{elpa:94a,
   author = "L. Eld\'en and H. Park",
   year = "1994",
   title = "Perturbation Analysis for Block Downdating of a {Cholesky} Decomposition",
   journal = "Numer. Math.",
   volume = "68",
   pages = "457--467",
   kwds = "downd, block"
}

@article{elsc:86,
   author = "L. Eld\'en and R. Schreiber",
   year = "1986",
   title = "A Systolic Array for the Regularization of Ill-Conditioned
            Least-Squares Problems with Triangular {Toeplitz} Matrix",
   journal = "Linear Algebra Appl.",
   volume = "77",
   pages = "137-147",
   kwds = "prll, toep, regul"
}


@techreport{elsk:82,
   author = "L. Eld\'en and I. Skoglund",
   year = "1982",
   title = "Algorithms for the Regularization of Ill-Conditioned Least
		  Squares Problems with Tensor Product Structure, and
		  Application to Space-Invariant Image Restoration",
   institution = "Link{\"o}ping University",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "LiTH-MAT-R-82-48",
   kwds = "kron, regul"
}

@techreport{elfv:78,
   author = "T. Elfving",
   year = "1978",
   title = "On the Conjugate Gradient Method for Solving Linear Least Squares Problems",
   institution = "Link{\"o}ping University",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "LiTH-MAT-R-78-3",
   kwds = "cg, iter"
}

@article{elfv:80,
   author = "T. Elfving",
   year = "1980",
   title = "Block-iterative Methods for Consistent and Inconsistent Linear 
	Equations",
   journal = "Numer. Math.",
   volume = "35",
   pages = "1--12",
   kwds = "iter, uds, prll"
}

@article{elfv:98,
   author = "T. Elfving",
   year = "1998",
   title = "A Stationary Iterative Pseudoinverse Algorithm",
   journal = "BIT",
   volume = "38",
   pages = "275--282",
   kwds = "iter, ginv"
}

@article{elgu:01,
   author = "E. Elmroth and F. G. Gustavson",
   year = "2001",
   title = "A Faster and Simpler Recursive Algorithm for the {LAPACK} Routine DGELS",
   journal = "BIT",
   volume = "41",
   pages = "936--949",
   kwds = "qrd, prll"
}

@article{erti:75,
   author = "A. M. Erisman and W. F. Tinney",
   year = "1975",
   title = "On Computing Certain Elements of the Inverse of a Sparse Matrix",
   journal = "Comm. ACM",
   volume = "18",
   pages = "177--179",
   kwds = "covar, sparse"
}

@article{evli:88,
   author = "D. J. Evans and C. Li",
   year = "1988",
   title = "{Gauss--Seidel} and {SOR} Methods for Least Squares Problems",
   journal = "Numer. Math.",
   volume = "53",
   pages = "485--498",
   kwds = "iter"
}

@article{evli:89,
   author = "D. J. Evans and C. Li",
   year = "1989",
   title = "Numerical Aspects of the Generalized cg-Method Applied to Least 
	Squares Problems",
   journal = "Computing",
   volume = "41",
   pages = "171--178",
   kwds = "cg, iter"
}

@article{evli:90,
   author = "D. J. Evans and C. Li",
   year = "1990",
   title = "The Theoretical Aspects of the GCG-Method Applied to 
         Least-Squares Problems",
   journal = " Internat. J. Comput. Math.",
   volume = "35",
   pages = "207--229",
   kwds = "cg, iter"
}

%fa-

@article{fakf:68,
   author = "D. K. Faddeev and V. N. Kublanovskaya and V. N. Faddeeva",
   year = "1968",
   title = "Solution of Linear Algebraic Systems with Rectangular Matrices",
   journal = "Proc. Steklov Inst. Math.",
   volume = "96",
   pages = "93--111",
   kwds = "rank, qrd"
}

@incollection{fakf:68a,
   author = "D. K. Faddeev and V. N. Kublanovskaya and V. N. Faddeeva",
   year = "1968",
   title = "Sur les syst{\`e}mes lin{\'e}aires alg{\'e}briques de
		  matrices rectangularies et malcondition{\'e}es",
   pages = "161--170",
   booktitle = "Programmation en Math{\'e}matiques Num{\'e}riques",
   publisher = "Editions Centre Nat. Recherche Sci., Paris VII",
   kwds = "qrd, rank"
}

@article{faho:55,
   author = "K. Fan and A.J. Hoffman",
   year = "1955",
   title = "Some Metric Inequalities in the Space of Matrices",
   journal = "Proc. Amer. Math. Soc.",
   volume = "6",
   pages = "111--116",
   kwds = "max"
}

@inproceedings{fare:85,
   author = "R. W. Farebrother",
   year = "1985",
   title = "The Statistical Estimation of the Standard Linear Model,
		  {\rm 1756--1853}",
   pages = "77--99",
   booktitle = "Proc. First Internat. Tampere Seminar on Linear
		  Statistical Models Appl. 1983",
   editor = "T. Pukkila and S. Puntanen",
   address = "University of Tampere, Tampere, Finland",
   kwds = "stat, hist"
}

@book{fare:88,
   author = "R. W. Farebrother",
   year = "1988",
   title = "Linear Least Squares Computations",
   publisher = "Marcel Dekker",
   address = "New York",
   kwds = "hist, survey"
}

@article{fafu:94,
   author = "D. W. Fausett and C. T. Fulton",
   year = "1994",
   title = "Large Least Squares Problems Involving {Kronecker} Products",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "219--227",
   kwds = "kron,qr"
}

@article{fern:89,
   author = "K. V. Fernando",
   year = "1989",
   title = "Linear Convergence of the Row Cyclic {Jacobi} and
		  {Kogbetliantz} Methods",
   journal = "Numer. Math.",
   volume = "56",
   pages = "73--91",
   kwds = "svd"
}

@article{fern:98,
   author = "K. V. Fernando",
   year = "1998",
   title = "Accurately Counting Singular Values of Bidiagonal Matrices and
     Eigenvalues of Skew-Symmetric Tridiagonal Matrices",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "20:2",
   pages = "373--399",
   kwds = "svd, prll"
}

@article{fepa:94,
   author = "K. V. Fernando and B. N. Parlett",
   year = "1994",
   title = "Accurate Singular Values and Differential qd Algorithms",
   journal = "Numer. Math.",
   volume = "67",
   pages = "191-229",
   kwds = "svd"
}

@article{fier:96,
   author = "R. D. Fierro",
   year = "1996",
   title = "Perturbation Analysis For Two-Sided (or Complete)
		  Orthogonal Decompositions",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "17",
   pages = "383--400",
   kwds = "rrqr, pert"
}

@article{fibu:94b,
   author = "R. D. Fierro and J. R. Bunch",
   year = "1994",
   title = "Collinearity and Total Least Squares",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "1167--1181",
   kwds = "tls"
}


@article{fibu:95,
   author = "R. D. Fierro and J. R. Bunch",
   year = "1995",
   title = "Orthogonal Projection and Total Least Squares",
   journal = "Numer. Linear Algebra Appl.",
   volume = "2",
   pages = "135--154",
   kwds = "tls"
}

@article{fibu:95b,
   author = "R. D. Fierro and J. R. Bunch",
   year = "1995",
   title = "Bounding the Subspaces from Rank Revealing Two-sided Orthogonal 
Decompositions",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "16",
   pages = "743--759",
   kwds = "rrqr"
}

@article{fibu:96,
   author = "R. D. Fierro and J. R. Bunch",
   year = "1996",
   title = "Perturbation Theory for Orthogonal Projection Methods With
		  Applications to Least Squares and Total Least Squares",
   journal = "Linear Algebra Appl.",
   volume = "234",
   pages = "71--96",
   kwds = "pert,tls"
}

@article{figh:97,
   author = "R. D. Fierro and G. H. Golub and P.C. Hansen and D. P. O'Leary",
   year = "1997",
   title = "Regularization by Truncated Total Least Squares",
   journal = "SIAM J. Sci. Comput.",
   volume = "18:4",
   pages = "1223--1241",
   kwds = "tls, regul"
}

@inproceedings{fivv:97,
   author = "R. D. Fierro and L. Vanhamme and S. Van Huffel",
   year = "1997",
   title = "Total Least Squares Algorithms Based on Rank-Revealing Complete
      Orthogonal Decompositions",
   pages = "99--116",
   booktitle = "Recent Advances in Total Least Squares Techniques and
		  Errors-in-Variable Modeling",
   editor = "Sabine Van Huffel",
   publisher = "SIAM, Philadelphia, PA",
   kwds = "tls, rrqr"
}

%fl-

@article{flet:68,
   author = "R. Fletcher",
   year = "1968",
   title = "Generalized Inverse Methods for the Best Least Squares
            Solution of Systems of Non-Linear Equations",
   journal = "Comput. J.",
   volume = "10",
   pages = "392--399",
   kwds = "ginv, nlsq"
}

@techreport{flet:71}
   author = "R.~Fletcher",
   year = "1971",
   title = "A Modified Marquardt Subroutine for Nonlinear Least Squares",
   institution = "Atomic Energy Research Establishment",
   address = "Harwell, UK",
   type = "{Tech. Report}",
   number = "R6799",
   note = "",
   kwds = "nlsq"
}

@article{flet:76,
   author = "R. Fletcher",
   year = "1976",
   title = "Factorizing Symmetric Indefinite Matrices",
   journal = "Linear Algebra Appl.",
   volume = "14",
   pages = "257--272",
   kwds = "augms"
}

@article{flet:85,
   author = "R. Fletcher",
   year = "1985",
   title = "Expected Conditioning",
   journal = "IMA J. Numer. Anal.",
   volume = "5",
   pages = "247--273",
   kwds = "cond, err"
}

@book{flet:87,
   author = "R. Fletcher",
   year = "1987",
   title = "Practical Methods of Optimization, {\rm 2nd ed.}",
   publisher = "John Wiley",
   address = "New York",
   kwds = "nlsq, opt, survey"
}

@article{flxu:87,
   author = "R. Fletcher and C. Xu",
   year = "1987",
   title = "Hybrid Methods for Nonlinear Least Squares",
   journal = "IMA J. Numer. Anal.",
   volume = "7",
   pages = "371--389",
   kwds = "cond, err"
}

@techreport{forb:89a,
   author = "A. B. Forbes",
   year = "1989",
   title = "Least-Squares Best-Fit Geometric Elements",
   institution = "National Physical Laboratory",
   address = "Teddington, UK",
   type = "{Tech. Report}",
   number = "NPL DITC 140/89",
   note = "",
   kwds = "nlsq"
}

@techreport{forb:89b,
   author = "A. B. Forbes",
   year = "1989",
   title = "Robust Circle and Sphere Fitting by Least Squares",
   institution = "National Physical Laboratory",
   address = "Teddington, UK",
   type = "{Tech. Report}",
   number = "NPL DITC 153/89",
   note = "",
   kwds = "nlsq"
}

@incollection{forb:90,
   author = "A. B. Forbes",
   year = "1990",
   title = "Least Squares Best Fit Geometrical Elements",
   pages = "311--319",
   booktitle = "Algorithms for Approximation II",
   editor = "J. C. Mason and M. G. Cox",
   publisher = "Chapman \& Hall, London",
   kwds = "nlsq"
}

@article{fors:56,
   author = "G. E. Forsythe",
   year = "1956",
   title = "Generation and Use of Orthogonal Polynomials for
		  Data-fitting with a Digital Computer",
   journal = "J. Soc. Indust. Appl. Math.",
   volume = "5",
   pages = "74--88",
   kwds = "poly"
}

@article{fogo:65,
   author = "G. E. Forsythe and G. H. Golub",
   year = "1965",
   title = "On the Stationary Values of a Second Degree Polynomial on the
	Unit Sphere",
   journal = "J. Soc. Indust. Appl. Math.",
   volume = "13",
   pages = "1050--1068",
   kwds = "upd"
}

@book{fomm:77,
   author = "G. E. Forsythe and M. A. Malcolm and C. B. Moler",
   year = "1977",
   title = "Computer Methods for Mathematical Computations",
   publisher = "Prentice-Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "survey, la, soft"
}

@book{fomo:67,
   author = "G. E. Forsythe and C. B. Moler",
   year = "1967",
   title = "Computer Solution of Linear Algebraic Systems",
   publisher = "Prentice-Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "survey, la"
}

@article{fost:86,
   author = "L. V. Foster",
   year = "1986",
   title = "Rank and Nullspace Calculations Using Matrix Decompositions 
	Without Column Interchanges",
   journal = "Linear Algebra Appl.",
   volume = "74",
   pages = "47--71",
   kwds = "rank, rrqr, qrd"
}

@article{fost:90,
   author = "L. V. Foster",
   year = "1990",
   title = "The Probability of Large Diagonal Elements in the {QR} 
	Factorization",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "11",
   pages = "531--544",
   kwds = "rank, qrd"
}

@inproceedings{fost:91,
   author = "L. V. Foster",
   year = "1991",
   title = "Modifications of the Normal Equations Method that are Numerically
	Stable",
   pages = "501--512",
   booktitle = "Numerical Linear Algebra, Digital Signal Processing and
	Parallel Algorithms",
   editor = "G. H. Golub and P. {Van Dooren}",
   series = "NATO ASI Series",
   publisher = "Springer-Verlag, Berlin",
   kwds = "ne, grsch, ir, err,prll"
}

@techreport{fome:92,
   author = "R. Fourer and S. Mehrotra",
   year = "1992",
   title = "Solving Symmetric Indefinite Systems in an Interior Point
         Method for Linear Programming",
   institution = "Department of Industrial Engineering and Management Science",
   address = "Northwestern University, Evanston, IL",
   type = "{Tech. Report}",
   number = "92-01",
   kwds = "augm, sparse, intpoint"
}

@techreport{fral:88,
   author = "C. Fraley",
   year = "1988",
   title = "Algorithms for Nonlinear Least Squares",
   institution = "Center for Large Scale Scientific Computation, Stanford University",
   address = "CA",
   number = "STAN-CLaSSiC-88-22",
   note = "",
   kwds = "nlsq, survey"
}

@article{fral:89,
   author = "C. Fraley",
   year = "1989",
   title = "Computational Behavior of {Gauss--Newton} Methods",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "10",
   pages = "515--532",
   kwds = "nlsq"
}

@article{freu:87,
   author = "R. Freund",
   year = "1987",
   title = "A Note on Two Block {SOR} Methods for Sparse Least Squares Problems",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "211--221",
   kwds = "iter"
}

@article{frgn:91,
   author = "R.~W. Freund and G.~H. Golub and N. Nachtigal",
   year = "1991",
   title = "Iterative Solution of Linear Systems",
   journal = "Acta Numerica",
   volume = "1",
   pages = "57--100",
   kwds = "iter"
}

ga-

@article{gala:94,
   author = "E. Galligani and A. Laratta",
   year = "1994",
   title = "Error Analysis of Null Space Algorithm for Linear Equality
		  Constrained Least Squares Problem.",
   journal = "Computing",
   volume = 52,
   pages = "161--176",
   kwds = "err, constr"
}

@techreport{gand:80,
   author = "W. Gander",
   year = "1980",
   title = "Algorithms for the {QR}-decomposition",
   institution = "Angewandte Mathematik, ETH",
   address = "Z{\"u}rich, Switzerland",
   type = "{Tech. Report}",
   number = "80--02",
   note = "",
   kwds = "qrd, grsch"
}

@article{gand:81,
   author = "W. Gander",
   year = "1981",
   title = "Least Squares with a Quadratic Constraint",
   journal = "Numer. Math.",
   volume = "36",
   pages = "291-307",
   kwds = "constr, regul"
}

@article{gags:94,
   author = "W. Gander and G. H. Golub and R. Strebel",
   year = "1994",
   title = "Least-Squares Fitting of Circles and Ellipses",
   journal = "BIT",
   volume = "34",
   pages = "558--578",
   kwds = "nlsq"
}

@incollection{gama:97,
   author = "W. Gander and U. von Matt",
   year = "1997",
   title = "Some Least Squares Problems",
   pages = "83--102",
   booktitle = "Solving Problems in Scientific Computing Using {Maple}
		  and {\sc Matlab}, 3rd ed.", 
   editor = "W. Gander and J. H\v{r}bi\v{c}ek ",
   publisher = "Springer-Verlag, Berlin",
   kwds = "nlsq"
}

@techreport{garz:51,
   author = "A. de la Garza",
   year = "1951",
   title = "An Iterative Method for Solving Systems Linear Equations",
   institution = "Union Carbide", 
   address = "Oak Ridge, TN",
   type = "{Tech. Report}",
   number = "K-731",
   kwds = "iter, prll"
}

@book{gaus:1809,
   author = "C. F. Gauss",
   year = "1963",
   title = "Theory of the Motion of the Heavenly Bodies Moving about the Sun
            in Conic Sections, {\rm C. H. Davis, Trans.}",
   publisher = "Dover",
   address = "New York",
   note = "First published in 1809",
   kwds = "stat, nlsq, regr, ne"
}

@incollection{gaus:1810,
   author = "C. F. Gauss",
   year = "1880",
   title = "Disquisitio de Elementis Ellipticis {Palladis}",
   booktitle = "Werke, {\rm VI}",
   publisher = "K{\"o}niglichen Gesellschaft der Wissenschaften zu 
                G{\"o}ttingen",
   pages = "1--24",
   note = "First published in 1810",
   kwds = "stat, nlsq, regr, ne"
}

@incollection{gaus:1821,
   author = "C. F. Gauss",
   year = "1880",
   title = "Theoria Combinationis Observationum Erroribus Minimis Obnoxiae,
            Pars Prior",
   booktitle = "Werke, IV",
   publisher = "K{\"o}niglichen Gesellschaft der Wissenschaften zu 
                G{\"o}ttingen",
   pages = "1--26",
   note = "First published in 1821",
   kwds = "regr, ne"
}

@incollection{gaus:1823,
   author = "C. F. Gauss",
   year = "1880",
   title = "Theoria Combinationis Observationum Erroribus Minimis Obnoxiae,
            Pars Posterior",
   booktitle = "Werke, IV",
   publisher = " K{\"o}niglichen Gesellschaft der Wissenschaften zu 
                 G{\"o}ttingen",
   pages = "27-53",
   note = "First published in 1823",
   kwds = "regr, ne, upd"
}

@incollection{gaus:1826,
   author = "C. F. Gauss",
   year = "1880",
   title = "Theoria Combinationis Observationum Erroribus Minimis Obnoxiae,
            Supplementum",
   booktitle = "Werke, IV",
   publisher = "K{\"o}niglichen Gesellschaft der Wissenschaften zu 
                G{\"o}ttingen",
   pages = "55--93",
   note = "First published in 1826",
   kwds = "stat, geod, iter"
}

@book{gaus:95,
   author = "C. F. Gauss",
   year = "1995",
   title = "Theory of the Combination of Observations Least Subject
		  to Errors. Part {\rm 1}, Part {\rm 2},
		  Supplement, {G. W. Stewart, Trans.}",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "stat, ne, upd"
}

@article{gay:83,
   author = "D. M. Gay",
   year = "1983",
   title = "Algorithm {\rm 611}. {Subroutines} for Unconstrained Minimization Using 
	a Model/Trust-region Approach",
   journal = " ACM Trans. Math. Software",
   volume = "9",
   pages = "503--524",
   kwds = "nlsq, soft"
}


@inproceedings{gay:84,
   author = "D. M. Gay",
   year = "1984",
   title = "A Trust-region Approach to Linearly Constrained Optimization",
   pages = "72--105",
   booktitle = "Proceedings of the 1983 Dundee Conference on Numerical 
	Analysis",
   editor = "D.F. Griffiths",
   publisher = "Springer-Verlag, Berlin",
   series = " Lecture Notes in Mathematics",
   volume = "1066",
   kwds = "nlsq"
}

@inproceedings{gay:88,
   author = "D. M. Gay",
   year = "1988",
   title = "Interval Least Squares---a Diagnostic Tool",
   pages = "183--206",
   booktitle = "Reliability in Computing",
   editor = "R. E. Moore",
   publisher = "Academic Press, London",
   kwds = "err"
}

ge-

@article{gent:73,
   author = "W. M. Gentleman",
   year = "1973",
   title = "Least Squares Computations by {Givens} Transformations
            Without Square Roots",
   journal = "J. Inst. Maths. Applic.",
   volume = "12",
   pages = "329--336",
   kwds = "qrd, rot"
}

@article{gent:75,
   author = "W. M. Gentleman",
   year = "1975",
   title = "Error Analysis of {QR} Decompositions by {Givens} Transformations",
   journal = "Linear Algebra Appl.",
   volume = "10",
   pages = "189--197",
   kwds = "err, rot"
}

@inproceedings{gent:76,
   author = "W. M. Gentleman",
   year = "1976",
   title = "Row Elimination for Solving Sparse Linear Systems and
            Least Squares Problems",
   booktitle = "Proceedings of the Dundee Conference on Numerical
		  Analysis 1975",
   editor = "G. A. Watson",
   publisher = "Springer-Verlag, Berlin",
   series = " Lecture Notes in Mathematics",
   volume = "506",
   pages = "122--133",
   kwds = "sparse, perm"
}

@phdthesis{geor:71,
   author = "J. A. George",
   year = "1971",
   title = "Computer Implementation of the Finite-Element Method",
   school = "Stanford University, CA",
   type = "{Ph.D.} thesis",
   kwds = "sparse"
}

@article{gehe:80,
   author = "J. A. George and M. T. Heath",
   year = "1980",
   title = "Solution of Sparse Linear Least Squares Problems
            Using {Givens} Rotations",
   journal = "Linear Algebra Appl.",
   volume = "34",
   pages = "69--83",
   kwds = "sparse, qrd, rot"
}

@article{gehp:81,
   author = "J. A. George and M. T. Heath and R. J. Plemmons",
   year = "1981",
   title = "Solution of Large-Scale Sparse Least Squares Problems
            Using Auxiliary Storage",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "2",
   pages = "416--429",
   kwds = "sparse, qrd"
}

@article{gehn:83,
   author = "J. A. George and M. T. Heath and E. G. Ng",
   year = "1983",
   title = "A Comparison of Some Methods for Solving Sparse Linear Least
            Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "4",
   pages = "177--187",
   kwds = "sparse, test"
}

@book{geli:81,
   author = "J. A. George and J. W.-H. Liu",
   year = "1981",
   title = "Computer Solution of Large Sparse Positive Definite Systems",
   publisher = "Prentice-Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "sparse, survey"
}

@article{geli:87,
   author = "J. A. George and J. W.-H. Liu",
   year = "1987",
   title = "{Householder} Reflections versus {Givens} Rotations in Sparse
	Orthogonal Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "223--238",
   kwds = "sparse, rot, qrd"
}

@article{geli:89,
   author = "J. A. George and J. W.-H. Liu",
   year = "1989",
   title = "The Evolution of the Minimum Degree Ordering Algorithm",
   journal = "SIAM Review",
   volume = "31",
   pages = "1--19",
   kwds = "sparse, perm, hist"
}

@article{geln:84,
   author = "J. A. George and J. W.-H. Liu and E. G. Ng",
   year = "1984",
   title = "Row Ordering Schemes for Sparse {Givens} Transformations, 
	{I.} {Bipartite} Graph Model",
   journal = "Linear Algebra Appl.",
   volume = "61",
   pages = "55--81",
   kwds = "sparse, perm, rot"
}

@article{geln:86,
   author = "J. A. George and J. W.-H. Liu and E. G. Ng",
   year = "1986",
   title = "Row Ordering Schemes for Sparse {Givens} Transformations, 
	{II.} {Implicit} Graph Model",
   journal = "Linear Algebra Appl.",
   volume = "75",
   pages = "203--223",
   kwds = "sparse, perm, rot"
}

@article{geln:86a,
   author = "J. A. George and J. W.-H. Liu and E. G. Ng",
   year = "1984",
   title = "Row Ordering Schemes for Sparse {Givens} Transformations, 
	{III.} {Analysis} for a Model Problem",
   journal = "Linear Algebra Appl.",
   volume = "75",
   pages = "225--240",
   kwds = "sparse, perm, rot"
}

@article{geng:83,
   author = "J. A. George and E. G. Ng",
   year = "1983",
   title = "On Row and Column Orderings for Sparse Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "20",
   pages = "326--344",
   kwds = "sparse, perm, rot"
}

@techreport{geng:84,
   author = "J. A. George and E. G. Ng",
   year = "1984",
   title = "{SPARSPAK}: Waterloo Sparse Matrix Package User's Guide for 
	{SPARSPAK-B}",
   institution = "Department of Computer Science, University of Waterloo",
   address = "Canada",
   type = "Res. Report",
   number = "CS-84-37",
   note = "",
   kwds = "sparse, soft"
}

@article{geng:85,
   author = "J. A. George and E. G. Ng",
   year = "1985",
   title = "An Implementation of {Gaussian} Elimination with 
	Partial Pivoting for Sparse Systems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "6",
   pages = "390--409",
   kwds = "sparse, lud"
}

@article{geng:86,
   author = "J. A. George and E. G. Ng",
   year = "1986",
   title = "Orthogonal Reduction of Sparse Matrices to Upper Triangular
    Form Using {H}ouseholder Transformations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "460--472",
   kwds = "sparse, qrd"
}

@article{geng:87,
   author = "J. A. George and E. G. Ng",
   year = "1987",
   title = "Symbolic Factorization for Sparse {Gaussian} Elimination with 
	Partial Pivoting",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "877--898",
   kwds = "sparse, lud"
}

@article{geng:88,
   author = "J. A. George and E. G. Ng",
   year = "1988",
   title = "On the Complexity of Sparse {QR and LU} Factorization
	of Finite-Element Matrices",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "9",
   pages = "849--861",
   kwds = "sparse, qrd, lud"
}

@article{geln:88,
   author = "J. A. George and J. W.-H. Liu and E. G. Ng",
   year = "1988",
   title = "A Data Structure for Sparse {QR and LU} Factorization",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "9",
   pages = "100--121",
   kwds = "sparse, qrd, lud"
}

@article{gepv:78,
   author = "J. A. George and W. G. Poole and R. G. Voigt",
   year = "1978",
   title = "Incomplete Nested Dissection for Solving $n$ by $n$ Grid Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "15",
   pages = "90--112",
   kwds = "sparse, perm, nestdis"
}

gi-

@phdthesis{gilb:80,
   author = "J. R. Gilbert",
   year = "1980",
   title = "Graph Separator Theorems and Sparse {Gaussian} Elimination",
   school = "Stanford University, CA",
   type = "{Ph.D.} thesis",
   kwds = "sparse, graph"
}

@article{gilb:94,
   author = "J. R. Gilbert",
   year = "1994",
   title = "Predicting Structure in Sparse Matrix Computation",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "15",
   pages ="62--79",
   kwds = "sparse, soft"
}

@article{gims:92,
   author = "J. R. Gilbert and C. Moler and R. Schreiber",
   year = "1992",
   title = "Sparse Matrices in {MATLAB}: Design and Implementation",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "13",
   pages ="333--356",
   kwds = "sparse, soft"
}

@article{ginp:97,
   author = "J. R. Gilbert and E. G. Ng and B. W. Peyton",
   year = "1997",
   title = "Separators and Structure Prediction in Sparse Orthogonal 
         Factorization",
   journal = "Linear Algebra Appl.",
   volume = "262",
   pages = "83--97",
   kwds = "sparse, qrd"
}

@article{gipe:88,
   author = "J. R. Gilbert and T. Peierls",
   year = "1988",
   title = "Sparse Partial Pivoting in Time Proportional to Arithmetic Operations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "9",
   pages ="862--874",
   kwds = "sparse"
}

@article{ggms:74,
   author = "P. E. Gill and G. H. Golub and W. Murray and M.A. Saunders",
   year = "1974",
   title = "Methods for Modifying Matrix Factorizations",
   journal = "Math. Comp",
   volume = "28",
   pages = "505--535",
   kwds = "upd, downd, chol, qrd"
}

@techreport{gihm:86,
   author = "P. E. Gill and S. J. Hammarling and W. Murray and M. A. Saunders 
	and M. H. Wright",
   year = "1986",
   title = "User's Guide for {LSSOL} (version {\rm 1.0}): a {Fortran} Package for 
	Constrained Linear Least-squares and Convex Quadratic Programming",
   institution = "Department of Operations Research, Stanford University",
   type = "{Report SOL}",
   address = "CA",
   kwds = "constr, quadpr, soft"
}

@inproceedings{gimu:76,
   author = "P. E. Gill and W. Murray",
   year = "1976",
   title = "Nonlinear Least Squares and Nonlinearly Constrained Optimization",
   booktitle = "Proceedings Dundee Conference on Numerical Analysis 1975",
   editor = "G. A. Watson",
   publisher = "Springer-Verlag, Berlin",
   series = " Lecture Notes in Mathematics",
   volume = "506",
   pages = "135--147",
   kwds = "nlsq, quadpr"
}

@inproceedings{gimu:76a,
   author = "P. E. Gill and W. Murray",
   year = "1976",
   title = "The Orthogonal Factorization of a Large Sparse Matrix",
   pages = "201--212",
   booktitle = "Sparse Matrix Computations",
   editor = "J. R. Bunch and D. J. Rose",
   publisher = "Academic Press, New York",
   kwds = "sparse, qrd"
}

@article{gimu:78,
   author = "P. E. Gill and W. Murray",
   year = "1978",
   title = "Algorithms for the Solution of the Nonlinear Least Squares Problem",
   journal = "SIAM J. Numer. Anal.",
   volume = "15",
   pages = "977--992",
   kwds = "nlsq"
}

@book{gimw:81,
   author = "P. E. Gill and W. Murray and M. H. Wright",
   year = "1981",
   title = "Practical Optimization",
   publisher = "Academic Press",
   address = "London and New York",
   kwds = "nlsq, opt, survey"
}

@inproceedings{gmsw:90,
   author = "P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright",
   year = "1990",
   title = "A {Schur}-complement Method for Sparse Quadratic Programming",
   booktitle = "Reliable Numerical Computation",
   editor = "M. G. Cox and S. Hammarling",
   pages = "113--138",
   publisher = "Clarendon Press, Oxford, UK",
   kwds = "sparse, quadpr, augms"
}

@article{give:58,
   author = "W. Givens",
   year = "1958",
   title = "Computation of Plane Unitary Rotations Transforming a General 
	Matrix to Triangular Form",
   journal = " SIAM J. Appl. Math.",
   volume = "6",
   pages = "26--50",
   kwds = "qrd, rot"
}

@article{glsm:90,
   author = "J. Gluchowska and A. Smoktunowicz",
   year = "1990",
   title = "Solving the Linear Least Squares Problem with Very High
	Relative Accuracy",
   journal = "Computing",
   volume = "45",
   pages = "345--354",
   kwds = "err, ir"
}

@book{gold:77,
   author = "H.~H. Goldstine",
   year = "1977",
   title = "A History of Numerical Analysis from the {\rm 16}th through the
	{\rm 19}th Century",
   publisher = "Springer-Verlag",
   address = "New York",
   kwds = "hist"
}


@article{golu:65,
   author = "G. H. Golub",
   year = "1965",
   title = "Numerical Methods for Solving Least Squares Problems",
   journal = "Numer. Math.",
   volume = "7",
   pages = "206-216",
   kwds = "qrd, upd"
}

@article{golu:68,
   author = "G. H. Golub",
   year = "1968",
   title = "Least Squares, Singular Values and Matrix Approximations",
   journal = "Aplikace Matematiky",
   volume = "13",
   pages = "44--51",
   kwds = "svd, max"
}

@inproceedings{golu:69,
   author = "G. H. Golub",
   year = "1969",
   title = "Matrix Decompositions and Statistical Computation",
   pages = "365--397",
   booktitle = "Statistical Computation",
   editor = "R.C. Milton and J. A. Nelder",
   publisher = "Academic Press, New York",
   kwds = "qrd, grsch, stat"
}

@article{golu:73,
   author = "G. H. Golub",
   year = "1973",
   title = "Some Modified Matrix Eigenvalue Problems",
   journal = "SIAM Review",
   volume = "15",
   pages = "318--344",
   kwds = "upd"
}

@article{gohw:79,
   author = "G. H. Golub and M. T. Heath and G. Wahba",
   year = "1979",
   title = "Generalized Cross-Validation as a Method for Choosing a Good 
	Ridge Parameter",
   journal = "Technometrics",
   volume = "21",
   pages = "215--223",
   kwds = "regul"
}

@article{gohs:87,
   author = "G. H. Golub and A. Hoffman and G. W. Stewart",
   year = "1987",
   title = "A Generalization of the {Eckhard-Young-Mirsky} Matrix
	Approximation Theorem",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "317--327",
   kwds = "max"
}

@article{goka:65,
   author = "G. H. Golub and W. Kahan",
   year = "1965",
   title = "Calculating the Singular Values and Pseudo-inverse of a Matrix",
   journal = "SIAM J. Numer. Anal. Ser. B",
   volume = "2",
   pages = "205--224",
   kwds = "svd, lanczos"
}

@techreport{goks:76,
   author = "G. H. Golub and V. Klema and G. W. Stewart",
   year = "1976",
   title = "Rank Degeneracy and Least Squares Problems",
   institution = "Computer Science Department, Stanford University",
   address = "CA",
   type = " {Tech. Report}",
   number = "STAN-CS-76-559, August 1976",
   kwds = "rank, rrqr"
}
	
@inproceedings{golv:79,
   author = "G. H. Golub and R. J. LeVeque",
   year = "1979",
   title = "Extensions and Uses of the Variable Projection Algorithm for 
	Solving Nonlinear Least Squares Problems",
   pages = "1--12",
   booktitle = "Proceedings of the 1979 Army Numerical Analysis and 
	Computers Conf. ",
   publisher = "White Sands Missile Range, White Sands, NM, ARO Report 79-3",
   kwds = "nlsq, varpro"
}

@inproceedings{golu:77,
   author = "G. H. Golub and F. T. Luk",
   year = "1977",
   title = "Singular Value Decomposition: Applications and Computations",
   booktitle = "Trans. 22nd Conference of Army Mathematicians, ARO Report 77-1",
   pages = "577--605",
   kwds = "svd"
}

@article{golo:81,
   author = "G. H. Golub and F. T. Luk and M. L. Overton",
   year = "1981",
   title = "A Block {Lanczos} Method for Computing the Singular Values and 
	Corresponding Singular Vectors of a Matrix",
   journal = "ACM Trans. Math. Software",
   volume = "7",
   pages = "149--169",
   kwds = "svd, lanczos"
}

@inproceedings{golp:79,
   author = "G. H. Golub and F. T. Luk and M. Pagano",
   year = "1979",
   title = "A Sparse Least Squares Problem in Photogrammetry",
   booktitle = "Proceedings of the Computer Science and Statistics
	12th Annual Symposium on the Interface", 
   editor = "J. F. Gentleman",
   publisher = "University of Waterloo, Canada",
   pages = "26--30",
   kwds = "sparse, nestdis"
}

@article{gomt:86,
   author = "G. H. Golub and P. Manneback and P. Toint",
   year = "1986",
   title = "A Comparison Between some Direct and Iterative Methods for 
	Large Scale Geodetic Least Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "799--816",
   kwds = "sparse, nestdis, iter, cg, precond"
}

@inproceedings{gosv:95,
   author = "G. H. Golub and K. Solna and P. {Van Dooren}",
   year = "1995",
   title = "A {QR}-Like {SVD} Algorithm for a Product/Quotient of
		  Several Matrices",
   booktitle = "{SVD} and Signal Processing, III: Algorithms,
		  Architectures and Applications",
   editor = "M. Moonen and B. {De Moor}",
   pages = "139--147",
   publisher = "Elsevier Science B.V., Amsterdam",
   kwds = "gqrd, gsvd"
}

@article{goma:91,
   author = "G. H. Golub and U. von Matt",
   year = "1991",
   title = "Quadratically Constrained Least Squares and Quadratic Problems",
   journal = "Numer. Math.",
   volume = "59",
   pages = "561--580",
   kwds = "regul, constr",
}

@inproceedings{goma:97,
   author = "G. H. Golub and U. von Matt",
   year = "1997",
   title = "Tikhonov Regularization for Large Scale Problems",
   pages = "",
   booktitle = "Workshop on Scientific Computing",
   editor = "G. H. Golub and S. H. Lui and F. Luk and R. Plemmons",
   publisher = "Springer-verlag, New York",
   kwds = "tls, lanczos"
}

@article{goma:97b,
   author = "G. H. Golub and U. von Matt",
   year = "1997",
   title = "Generalized Cross-Validation for Large Scale Problems",
   journal = "J. Comput. Graph. Stat..",
   volume = "6",
   pages = "1--34",
   kwds = "tls, regul, lanczos"
}

@article{gona:82,
   author = "G. H. Golub and S. G. Nash",
   year = "1982",
   title = " Nonorthogonal Analysis of Variance using a Generalized 
	Conjugate-Gradient Algorithm",
   journal = "J. Amer. Statist. Assoc.",
   volume = "77",
   pages = "109--116",
   kwds = "cg, stat",
}

@article{gope:73,
   author = "G. H. Golub and V. Pereyra",
   year = "1973",
   title = "The Differentiation of Pseudoinverses and Nonlinear
            Least Squares Problems Whose Variables Separate",
   journal = "SIAM J. Numer. Anal.",
   volume = "10",
   pages = "413--432",
   kwds = "pert, ginv, varpro,"
}

@inproceedings{gope:76,
   author = "G. H. Golub and V. Pereyra",
   year = "1976",
   title = "Differentiation of Pseudoinverses, Separable
            Nonlinear Least Squares Problems and Other Tales",
   booktitle = "Generalized Inverses and Applications",
   editor = "M. Z. Nashed",
   pages = "303--324",
   publisher = "Academic Press, New York",
   kwds = "pert, ginv, varpro,"
}

@article{gopl:80,
   author = "G. H. Golub and R. J. Plemmons",
   year = "1980",
   title = "Large-Scale Geodetic Least-Squares Adjustment by Dissection
            and Orthogonal Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "34",
   pages = "3--28",
   kwds = "sparse, qrd, geod, nestdis"
}

@inproceedings{gops:88,
   author = "G. H. Golub and R. J. Plemmons and A. Sameh",
   year = "1988",
   title = "Parallel Block Schemes for Large-Scale Least-Squares Computations",
   pages = "171-179",
   booktitle = "High-Speed Computing, Scientific Applications and Algorithm 
	Design",
   publisher = "University of Illinois Press",
   address = "",
   kwds = "iter, prll"
}

@article{gore:70,
   author = "G. H. Golub and C. Reinsch",
   year = "1970",
   title = "Singular Value Decomposition and Least Squares Solution",
   journal = "Numer. Math.",
   volume = "14",
   pages = "403--420",
   kwds = "svd, rank, reg"
}

@inproceedings{gosa:70,
   author = "G. H. Golub and M. A. Saunders",
   year = "1970",
   title = "Linear Least Squares and Quadratic Programming",
   pages = "229--256",
   booktitle = "Integer and Nonlinear Programming",
   editor = "J. Abadie",
   publisher = "North-Holland, Amsterdam",
   kwds = "qrd, opt, quadpr"
}

@article{gost:73,
   author = "G. H. Golub and G. P. Styan",
   year = "1973",
   title = "Numerical Computations for Univariate Linear Models",
   journal = "J. Statist. Comput. Simul.",
   volume = "2",
   pages = "253-274",
   kwds = "stat, regr, qrd"
}

@techreport{goun:69,
   author = "G. H. Golub and R. Underwood",
   year = "1969",
   title = "Stationary Values of the Ratio of Quadratic Forms Subject to
	Linear Constraints",
   institution = "Computer Science Department, Stanford University, CA",
   type = "{Tech. Report}",
   number = "CS-142",
   note = "",
   kwds = "geig, regul"
}

@inproceedings{govl:79,
   author = "G. H. Golub and C. F. {Van Loan}",
   year = "1979",
   title = "Total least squares",
   pages = "69--76",
   booktitle = "Smoothing Techniques for Curve Estimation",
   editor = "T. Gasser and M. Rosenblatt",
   publisher = "Springer-Verlag, New York",
   kwds = "svd, tls"
}

@article{govl:80,
   author = "G. H. Golub and C. F. {Van Loan}",
   year = "1980",
   title = "An Analysis of the Total Least Squares Problem",
   journal = "SIAM J. Numer. Anal.",
   volume = "17",
   pages = "883-893",
   kwds = "svd, tls"
}

@book{govl:96,
   author = "G. H. Golub and C. F. {Van Loan}",
   year = "1996",
   title = "Matrix Computations, {\rm  3rd ed.}",
   publisher = "Johns Hopkins University Press",
   address = "Baltimore",
   kwds = "la, survey"
}

@article{gova:61,
   author = "G. H. Golub and R. S. Varga",
   year = "1961",
   title = "{Chebyshev} semi-iterative methods, successive Overrelaxation 
	Iterative Methods and Second Order {Richardson} Iterative
		  Methods, {Parts I and II}",
   journal = "Numer. Math.",
   volume = "3",
   pages = "147--168",
   kwds = "iter"
}

@inproceedings{gowi:65,
   author = "G. H. Golub and J. H. Wilkinson",
   year = "1965",
   title = "Iterative Refinement of Least Squares Solutions",
   booktitle = "Proceedings of the IFIP Congress 65, New York, 1965",
   editor = "W. A. Kalenich",
   pages = "606--607",
   publisher = "Spartan Books, Washington",
   kwds = "ir, qrd, err"
}

@article{gowi:66,
   author = "G. H. Golub and J. H. Wilkinson",
   year = "1966",
   title = "Note on the Iterative Refinement of Least Squares Solution",
   journal = "Numer. Math.",
   volume = "9",
   pages = "139-148",
   kwds = "ir, qrd, err"
}

@article{gozh:94,
   author = "G. H. Golub and H. Zha",
   year = "1994",
   title = "Perturbation Analysis of the Canonical Correlation of Matrix Pairs",
   journal = "Linear Algebra Appl.",
   volume = "210",
   pages = "3--28",
   kwds = "pert, err"
}

@incollection{gozh:95,
   author = "G. H. Golub and H. Zha",
   year = "1995",
   title = "The Canonical Correlations of Matrix Pairs and Their
		  Numerical Computation",
   booktitle = "Linear Algebra for Signal Processing",
   publisher = "IMA",
   editor = "A. Bojanczyk and G. Cybenko",
   volume = "69",
   pages = "27--49",
   series = "Volumes in Mathematics and Its Applications",
   kwds = "pert, err"
}

gr-

@article{grha:84,
   author = "W. H. Gragg and W. J. Harrod",
   year = "1984",
   title = "The Numerically Stable Reconstruction of {Jacobi} Matrices
		  from Spectral Data",
   journal = "Numer. Math.",
   volume = "44",
   pages = "317--335",
   kwds = "eigv"
}

@article{gram:1883,
   author = "J. P. Gram",
   year = "1883",
   title = "{\"U}ber die {E}ntwickelung reeller {F}unktionen in {R}eihen
	mittelst der {M}ethode der kleinsten {Q}uadrate",
   journal = "J. Reine Angew. Math.",
   volume = "94",
   pages = "41--73",
   kwds = "grsch"
}

@article{gree:89,
   author = "A. Greenbaum",
   year = "1989",
   title = "Behavior of Slightly Perturbed {Lanczos} and
		  Conjugate-gradient Recurrences",
   journal = "Linear Algebra Appl.",
   volume = "113",
   pages = "7--63",
   kwds = "cg, lanczos"
}

@article{grst:92,
   author = "A. Greenbaum and Z. Strako{\v{s}}",
   year = "1992",
   title = "Predicting the Behavior of Finite Precision {Lanczos} and
		  Conjugate Gradient Computations",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "13",
   pages = "121-137",
   kwds = "cg, lanczos"
}

@article{grev:66,
   author = "T. E. Greville",
   year = "1966",
   title = "Note on the Generalized Inverse of a Matrix Product",
   journal = "SIAM Review",
   volume = "8",
   pages = "518--521",
   kwds = "ginv"
}

@book{grhi:85,
   author = "P. Griffiths and I. D. Hill",
   year = "1985",
   title = "Applied Statistical Algorithms",
   publisher = "Ellis Horwood Ltd.",
   address = "Chichester, UK",
   kwds = "stat"
}

@article{grle:81,
   author = "R. G. Grimes and J. G. Lewis",
   year = "1981",
   title = "Condition Number Estimation for Sparse Matrices",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "2",
   pages = "384--388",
   kwds = "cond, sparse"
}

@article{gros:80,
   author = "E. Grosse",
   year = "1980",
   title = "Tensor Spline Approximations",
   journal = "Linear Algebra Appl.",
   volume = "34",
   pages = "29--41",
   kwds = "sparse, kron"
}

@article{gumi:98a,
   author = "M. Gu",
   year = "1998",
   title = "New Fast Algorithms for Structured Linear Least Squares Problems",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "20:1",
   pages = "244--269",
   kwds = "struct, toepl",
}

@article{gumi:98b,
   author = "M. Gu",
   year = "1998",
   title = "Backward Perturbation Bounds for Linear Least Squares Problems",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "20:2",
   pages = "363--372",
   kwds = "err",
}


@article{guei:95,
   author = "M. Gu and S. C. Eisenstat",
   year = "1995",
   title = "Downdating the Singular Value Decomposition",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "16",
   pages = "793--810",
   kwds = "svd, downd",
}

@article{guei:96,
   author = "M. Gu and S. C. Eisenstat",
   year = "1996",
   title = "Efficient Algorithms for Computing a Strong
		  Rank-Revealing {QR} Factorization",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "17",
   pages = "848--869",
   kwds = "rrqr",
}

@phdthesis{gull:93,
   author = "M. Gulliksson",
   year = "1993",
   title = "Algorithms for Overdetermined Systems of Equations",
   school = "Institute of Information Processing, University of Ume{\aa}", 
   address = "Ume{\aa}, Sweden",
   type = "{Ph.D.} thesis",
   number = "UMINF 93-11",
   kwds = "qrd, wlsq,nlsq"
}

@article{gull:94,
   author = "M. Gulliksson",
   year = "1994",
   title = "Iterative Refinement for Constrained and Weighted Linear Least Squares",
   journal = "BIT",
   volume = "34",
   pages = "239--253",
   kwds = "err, ir, wlsq, qrd",
}
 
@article{gull:95,
   author = "M. Gulliksson",
   year = "1995",
   title = "Backward Error Analysis for the Constrained and Weighted Linear
	Least Squares Problem when Using the Weighted {QR} Decomposition",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "16",
   pages = "675--687",
   kwds = "err, wlsq, qrd",
}

@article{gull:95b,
   author = "M. Gulliksson",
   year = "1995",
   title = "On Modified {Gram-Schmidt} for Weighted and Constrained
		  Linear Least Squares",
   journal = "BIT",
   volume = "35",
   pages = "458--473",
   kwds = "err, wlsq, grsch",
}
 
@article{guwe:92,
   author = "M. Gulliksson and P.-{\AA}. Wedin",
   year = "1992",
   title = "Modifying the {QR} Decomposition to Constrained and Weighted
	 Linear Least Squares",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "13:4",
   pages = "1298--1313",
   kwds = "qrd, wlsq" 
}

@techreport{guwe:93,
   author = "M. Gulliksson and P.-{\AA}. Wedin",
   year = "1993",
   title = "Numerical Aspects on Algorithms for Overdetermined Linear
	Systems in $l_p$ Norm",
   institution = "Institute of Information Processing, University of Ume{\aa}",
   address = "Ume{\aa}, Sweden",
   type = "{Tech. Report}",
   number = "UMINF--93-11",
   kwds = "nlsq, wlsq, constr",
}

@article{guwe:00,
   author = "M. Gulliksson and P.-{\AA}. Wedin",
   year = "2000",
   title = "Perturbation Theory for Generalized and Constrained Linear Least Squares",
   journal = "Numer. Linear Algebra Appl.",
   volume = "7",
   pages = "181--196",
   kwds = "glsq" 
}

@article{gusw:97,
   author = "M. Gulliksson and I. S{\"o}derquist and P.-{\AA}. Wedin",
   year = "1997",
   title = "Algorithms for Constrained and Weighted Nonlinear Least Squares",
   journal = "SIAM J. Optim.",
   volume = "7",
   pages = "208--224",
   kwds = "nlsq, wlsq, constr",
}

@inproceedings{gust:76,
   author = "F. G. Gustavson",
   year = "1976",
   title = "Finding the Block Lower Triangular Form of a Matrix",
   pages = "275--289",
   booktitle = "Sparse Matrix Computations",
   editor = "J. R. Bunch and D. J. Rose",
   publisher = "Academic Press, New York",
   kwds = "sparse"
}

ha-

@incollection{hach:74,
   author = "G. D. Hachtel",
   year = "1974",
   title = "Extended Applications of the Sparse Tableau Approach---Finite 
	Elements and Least Squares",
   booktitle = "Basic questions in design theory",
   editor = "W. Spillers",
   publisher = " North-Holland, Amsterdam",
   kwds = "sparse, augms"
}

@incollection{hach:76,
   author = "G. D. Hachtel",
   year = "1976",
   title = "The Sparse Tableau Approach to Finite Element Assembly",
   booktitle = "Sparse Matrix Computations",
   editor = "J.R. Bunch and D. J. Rose",
   publisher = "Academic Press, New York",
   kwds = "sparse, augms"
}

@article{haly:80,
   author = "L. A. Hageman and F. T. Luk and D. M. Young",
   year = "1980",
   title = "On the Equivalence of Certain Iterative Acceleration Methods",
   journal = "SIAM J. Numer. Anal.",
   volume = "17",
   pages = "852--873",
   kwds = "iter"
}

@article{hamm:74,
   author = "S. Hammarling",
   year = "1974",
   title = "A Note on Modifications to the {Givens} Plane Rotation",
   journal = "J. Inst. Maths. Applic.",
   volume = "13",
   pages = "215--218",
   kwds = "rot"
}

@incollection{hamm:86,
   author = "S. Hammarling",
   year = "1976",
   title = "The Numerical Solution of the General {Gauss--Markoff} Linear Model",
   booktitle = "Mathematics in Signal Processing",
   editor = "T. S. {Durrani et al.}",
   publisher = "Clarendon Press, Oxford",
   kwds = "gener, signal"
}

@book{hayo:81,
   author = "L. A. Hageman and D. M. Young",
   year = "1981",
   title = "Applied Iterative Methods",
   publisher = "Academic Press",
   address = "New York, London",
   kwds = "iter, survey"
}

@article{hage:84,
   author = "W. W. Hager",
   year = "1984",
   title = "Condition Estimates",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "311--316",
   kwds = "cond, err"
}

@article{hage:89,
   author = "W. W. Hager",
   year = "1989",
   title = "Updating the Inverse of a Matrix",
   journal = "SIAM Review",
   volume = "31",
   pages = "221--239",
   kwds = "upd"
}

@inproceedings{hapy:90,
   author = "C. {-G}. Han and P. M. Pardalos and Y. Ye",
   year = "1990",
   title = "Computational Aspects of an Interior Point Algorithm for
		  Quadratic Programming Problems with Box Constraints",
   booktitle = "Large Scale Numerical Optimization, Proceedings,
		  Cornell University, Ithaca, October 19--20, 1989 ",
   editor = "T. F. Coleman and Y. Li",
   pages = "92--112",
   publisher = "SIAM, Philadelphia",
   kwds = "sparse, constr"
}

@article{hank:91,
   author = "M. Hanke",
   year = "1991",
   title = "Accelerated {Landweber} Iterations for the Solution of
		  Ill-posed Equations",
   journal = "Numer. Math.",
   volume = "60",
   pages = "341--373",
   kwds = "illp, regul, iter"
}

@book{hank:95,
   author = "M. Hanke",
   year = "1995",
   title = "Conjugate Gradient Type Methods for Ill-posed Problems",
   publisher = "Longman Scientific and Technical, Harlow, UK",
   series = "Pitman Research Notes in Mathematics",
   kwds = "illp, regul, iter"
}

@article{haha:93,
   author = "M. Hanke and P. C. Hansen",
   year = "1993",
   title = "Regularization Methods for Large-Scale Problems",
   journal = "Surveys Math. Indust.",
   volume = "3",
   pages = "253--315",
   kwds = "illp, regul, sparse"
}

@article{hane:93,
   author = "M. Hanke and M. Neumann",
   year = "1992",
   title = "The Geometry of the Set of Scaled Projections",
   journal = "Linear Algebra Appl.",
   volume = "190",
   pages = "137--148",
   kwds = "wlsq"
}

@article{hans:87,
   author = "P. C. Hansen",
   year = "1987",
   title = "The Truncated {SVD} as a Method for Regularization",
   journal = "BIT",
   volume = "27",
   pages = "534--553",
   kwds = "svd, illp, regul"
}

@article{hans:90,
   author = "P. C. Hansen",
   year = "1990",
   title = "Truncated Singular Value Decomposition Solutions to Discrete 
	Ill-Posed Problems with Ill-determined Numerical Rank",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "11",
   pages = "503--518",
   kwds = "svd, illp, rank"
}

@article{hans:90a,
   author = "P. C. Hansen",
   year = "1990",
   title = "Relations between {SVD} and {GSVD} of Discrete Regularization Problems 
	in Standard and General Form",
   journal = "Linear Algebra Appl.",
   volume = "141",
   pages = "165--176",
   kwds = "illp, regul,gsvd"
}

@article{hans:92,
   author = "P. C. Hansen",
   year = "1992",
   title = "Analysis of Ill-Posed Problems By Means of the {L}-Curve",
   journal = "SIAM Review",
   volume = "34",
   pages = "561--580",
   kwds = "illp, regul"
}

@book{hans:98,
   author = "P. C. Hansen",
   year = "1998",
   title = "Rank-Deficient and Discrete Ill-Posed Problems. Numerical
		  Aspects of Linear Inversion.",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "illp, regul"
}

@article{hans:94,
   author = "P. C. Hansen",
   year = "1994",
   title = "Regularization Tools: A Matlab Package for Analysis and
Solution of Discrete Ill-posed Problems",
   journal = "Numer. Algorithms",
   volume = "6",
   pages = "1--35",
   kwds = "illp, regul"
}

@article{hans:95,
   author = "P. C. Hansen",
   year = "1995",
   title = "Test Matrices for Regularization Methods",
   journal = "SIAM J. Sci. Comput.",
   volume = "16",
   pages = "506--512",
   kwds = "illp, regul"
}

@article{hage:93,
   author = "P. C. Hansen and H. Gesmar",
   year = "1993",
   title = "Fast Orthogonal Decomposition of Rank Deficient {Toeplitz} Matrices",
   journal = "Numer. Algorithms",
   volume = "4",
   pages = "151-166",
   kwds = "qrd, toep"
}

@article{haol:93,
   author = "P. C. Hansen and D. O'Leary",
   year = "1993",
   title = "The Use of the {L}-Curve in the Regularization of Discrete
         Ill-Posed Problems",
   journal = " SIAM J. Sci. Comput.",
   volume = "14",
   pages = "1487--1503",
   kwds = "illp, regul"
}

@inproceedings{haol:97,
   author = "P. C. Hansen and D. O'Leary",
   year = "1997",
   title = "Regularization Algorithms Based on Total Least Squares",
   pages = "127--137",
   booktitle = "Recent Advances in Total Least Squares Techniques and
		  Errors-in-Variable Modeling",
   editor = "Sabine Van Huffel",
   publisher = "SIAM, Philadelphia, PA",
   kwds = "tls, regul"
}

@article{haos:97,
   author = "P. C. Hansen and Tz. Ostromsky and A. Sameh and Z. Zlatev",
   year = "1997",
   title = "Solving Sparse Linear least Squares Problems on Some
     Supercomputers by Using Large Dense Blocks",
   journal = "BIT",
   volume = "37:3",
   pages = "535--590",
   kwds = "sparse, prll"
}

@article{hans:86,
   author = "R. J. Hanson",
   year = "1986",
   title = "Linear Least Squares with Bounds and Linear Constraints",
   journal = " SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "826--834",
   kwds = "constr"
}

@article{hala:69,
   author = "R. J. Hanson and C. L. Lawson",
   year = "1969",
   title = "Extensions and Applications of the {Householder} Algorithm for 
	Solving Linear Least Squares Problems",
   journal = "Math. Comp.",
   volume = "23",
   pages = "787--812",
   kwds = " qrd, rank"
}

@article{haph:75,
   author = "R. J. Hanson and J. L. Phillips",
   year = "1975",
   title = "An Adaptive Numerical Method for Solving Linear {Fredholm} 
	Equations of the First Kind",
   journal = "Numer. Math.",
   volume = "24",
   pages = "291--307",
   kwds = "regul"
}

@article{hjod:93,
   author = "D. R. G. Hare and C. R. Johnson and D. D. Olesky and 
	P. V. D. Driessche",
   year = "1993",
   title = "Sparsity Analysis of the {QR} Factorization",
   journal = " SIAM J. Matrix. Anal. Appl.",
   volume = "14",
   pages = "655--669",
   kwds = "sparse"
}

@article{have:87,
   author = "V. Hari and K. Veseli{\'c}",
   year = "1987",
   title = "On {Jacobi} Methods for Singular Value Decompositions",
   journal = " SIAM J. Sci. Stat. Comput.",
   volume = "8",
   pages = "741--754",
   kwds = "svd"
}

@techreport{haha:79,
   author = "K. H. Haskell and R. J. Hanson",
   year = "1979",
   title = "Selected Algorithms for the Linearly Constrained Least Squares 
	Problem: A User's Guide",
   institution = "Sandia National Laboratories, Albuquerque, NM",
   type = "{Tech. Report}",
   number = "SAND78-1290",
   note = "",
   kwds = "constr"
}

@article{haha:81,
   author = "K. H. Haskell and R. J. Hanson",
   year = "1981",
   title = "An Algorithm for Linear Least Squares Problems with Equality 
	and Nonnegativity Constraints",
   journal = "Math Programming",
   volume = "21",
   pages = "98--118",
   kwds = "constr"
}


%he- 

@article{heat:82,
   author = "M. T. Heath",
   year = "1982",
   title = "Some extensions of an algorithm for sparse linear least 
	squares problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "3",
   pages = "223--237",
   kwds = "sparse, qrd"
}

@article{heat:84,
   author = "M. T. Heath",
   year = "1984",
   title = "Numerical Methods for Large Sparse Linear Least Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "497--513",
   kwds = "sparse, survey"
}

@article{hepw:84,
   author = "M. T. Heath and R. J. Plemmons and R. C. Ward",
   year = "1984",
   title = "Sparse Orthogonal Schemes for Structural Optimization Using the
Force Method",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "514--532",
   kwds = "sparse, nullsp"
}

@article{help:86,
   author = "M. T. Heath and A. J. Laub and C. C. Paige and R. C. Ward",
   year = "1986",
   title = "Computing the {SVD} of a Product of Two Matrices",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "1147--1149",
   kwds = "gsvd, jacobi"
}

@techreport{hebd:73,
   author = "M. D. Hebden",
   year = "1973",
   title = "An algorithm for minimization using exact second derivatives",
   type = "{Tech. Report}",
   institution = "Atomic Energy Research Establishment",
   address = "Harwell, England",
   number = "T. P. 515",
   kwds = "illp"
}


techreport{hema:96,
   author = "P. Heggernes and P. Matstoms",
   year = "1996",
   title = "Finding Good Column Orderings for Sparse {QR} Factorizations",
   type = "{Tech. Report}",
   institution = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   number = "LiTH-MAT-1996-20",
   kwds = "sparse, qrd"
}

@book{helm:1880,
   author = "F. R. Helmert",
   year = "1880",
   title = "{Die Mathematischen und Physikalischen Theorien der h{\"o}heren 
	Geod{\"a}sie, {\rm 1} Teil}",
   publisher = "B. G. Teubner Verlag",
   address = "Leipzig",
   kwds = "geod, nestdis"
}

@book{ch8:helm:1907,
   author = "F. R. Helmert",
   year = "1907",
   title = "Die Ausgleichungsrechnung Nach der Methode der Kleinsten Quadrate",
   publisher = "B. G. Teubner Verlag",
   address = "Leipzig",
   edition = "Second",   
   kwds = ","
}

@article{henr:79,
   author = "P. Henrici",
   year = "1979",
   title = "Fast {Fourier} Methods in Computational Complex Analysis",
   journal = "SIAM Review",
   volume = "21",
   pages = "481--527",
   kwds = "fft"
}

@article{hese:81,
   author = "H. V. Henderson and S. R. Searle",
   year = "1981",
   title = "The vec-Permutation Matrix, the vec operator and {Kronecker}
		  Products: A Review",
   journal = "Linear and Multilinear Algebra",
   volume = "9",
   pages = "271--188",
   kwds = "kron"
}

@article{helr:73,
   author = "G. T. Herman and A. Lent and S. W. Rowland",
   year = "1973",
   title = "{ART}: {Mathematics} and Applications",
   journal = "J. Theoret. Biol.",
   volume = "42",
   pages = "1--32",
   kwds = "iter"
}

@article{hest:58,
   author = "M. R. Hestenes",
   year = "1958",
   title = "Inversion of Matrices by Biorthogonalization and Related Results",
   journal = "J. Soc. Indust. Appl. Math.",
   volume = "6",
   pages = "51--90",
   kwds = "cg, lanczos"
}

@article{hest:75,
   author = "M. R. Hestenes",
   year = "1975",
   title = "Pseudoinverses and Conjugate Gradients",
   journal = "Comm. ACM",
   volume = "18",
   pages = "40--43",
   kwds = "ginv, cg"
}

@article{hest:52,
   author = "M. R. Hestenes and E. Stiefel",
   year = "1952",
   title = "Methods of Conjugate Gradients for Solving Linear System",
   journal = "J. Res. Nat. Bur. Standards.",
   volume = "B49",
   pages = "409--436",
   kwds = "cg"
}

hi-

@article{hieb:86,
   author = "K. L. Hiebert",
   year = "1986",
   title = "An Evaluation of Mathematical Software that Solves Nonlinear 
	Least Squares Problems",
   journal = "ACM Trans. Math. Software",
   volume = "7",
   pages = "1--16",
   kwds = "nlsq, test"
}

@article{high:86,
   author = "N. J. Higham",
   year = "1986",
   title = "Computing the Polar Decomposition--with Applications",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "1160--1174",
   kwds = "pold"
}

@article{high:87,
   author = "N. J. Higham",
   year = "1987",
   title = "A Survey of Condition Number Estimation for Triangular
            Matrices",
   journal = "SIAM Review",
   volume = "29",
   pages = "575-596",
   kwds = " cond"
}

@article{high:87a,
   author = "N. J. Higham",
   year = "1987",
   title = "Error Analysis of the {Bj\"orck-Pereyra} Algorithms for
		  Solving {Vandermonde} Systems",
   journal = "Numer. Math.",
   volume = "50",
   pages = "613--632",
   kwds = "err, vand"
}

@article{high:88,
   author = "N. J. Higham",
   year = "1988",
   title = "Computing a Nearest Symmetric Positive Semidefinite
            Matrix",
   journal = "Linear Algebra Appl.",
   volume = "103",
   pages = "103-118",
   kwds = " max"
}

@article{high:88a,
   author = "N. J. Higham",
   year = "1988",
   title = "FORTRAN Codes for Estimating the One-norm of a Real or Complex 
	Matrix, with Applications to Condition Estimation",
   journal = "ACM Trans. Math. Software",
   volume = "14",
   pages = "381--396",
   kwds = "cond, soft"
}

@article{high:88b,
   author = "N. J. Higham",
   year = "1988",
   title = "Fast Solution of {Vandermonde}-Like Systems Involving
		  Orthogonal Polynomials",
   journal = "IMA J. Numer. Anal.",
   volume = "8",
   pages = "473--486",
   kwds = "vand"
}

@article{high:89,
   author = "N. J. Higham",
   year = "1989",
   title = "The Accuracy of Solutions to Triangular Systems",
   journal = "SIAM J. Numer. Anal.",
   volume = "26(5)",
   pages = "1252--1265",
   kwds = "err"
}

@inproceedings{high:90,
   author = "N. J. Higham",
   year = "1990",
   title = "Computing Error Bounds for Regression Problems",
   booktitle = "Contemporary Mathematics 112: Statistical
                Analysis of Measurement Error Models and Applications",
   editor = "P. J. Brown and W. A. Fuller",
   pages = "195--210",
   publisher = "American Mathematical Society, Providence, RI",
   kwds = "stat,  pert, regr"
}

@inproceedings{high:90b,
   author = "N. J. Higham",
   year = "1990",
   title = "Analysis of the {Cholesky} Decomposition of a Semi-Definite Matrix",
   pages = "161--185",
   booktitle = "Reliable Numerical Computation",
   editor = "M. G. Cox and S. J. Hammarling",
   publisher = "Clarendon Press, Oxford",
   kwds = "chol"
}

@inproceedings{high:90c,
   author = "N. J. Higham",
   year = "1990",
   title = "How Accurate is {Gaussian} Elimination?",
   pages = "137--154",
   booktitle = "Numerical Analysis 1989: Proceedings of the 13th 
	Dundee Conference",
   editor = "D. F. Griffiths and G. A. Watson",
   publisher = "Longman Scientific and Technical, Harlow, UK",
   series = "Pitman Research Notes in Mathematics 228",
   kwds = " err"
}

@article{high:90d,
   author = "N. J. Higham",
   year = "1990",
   title = "Experience with a Matrix Norm Estimator", 
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "11",
   pages = "804--809",
   kwds = "cond, err"
}

@article{high:91,
   author = "N. J. Higham",
   year = "1991",
   title = "Iterative Refinement Enhances the Stability of {QR} Factorization 
	Methods for Solving Linear Equations",
   journal = "BIT",
   volume = "31",
   pages = "447-468",
   kwds = "qrd, ir"
}

@article{high:92,
   author = "N. J. Higham",
   year = "1992",
   title = "Estimating the matrix p-norm",
   journal = "Numer. Math.",
   volume = "62",
   pages = "539--556",
   kwds = "cond"
}

@inproceedings{high:94,
   author = "N. J. Higham",
   year = "1994",
   title = "A Survey of Componentwise Perturbation Theory in Numerical
		  Linear Algebra",
   booktitle = "Mathematics of Computation 1943--1993. A Half Century
		  of Computational Mathematics",
   series = "Proceedings of Symposia in Applied Mathematics",
   editor = "W. Gautschi",
   volume = "48",
   pages = "49--77",
   publisher = "American Mathematical Society, Providence, RI",
   kwds = "err"
}

@book{high:96,
   author = "N. J. Higham",
   year = "1996",
   title = "Accuracy and Stability of Numerical Algorithms",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "err, pert"
}

@article{high:97,
   author = "N. J. Higham",
   year = "1997",
   title = "Stability of the Diagonal Pivoting Method with Partial Pivoting",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "18",
   pages = "52--66",
   kwds = "wlsq,augm"
}

@inproceedings{high:97b,
   author = "N. J. Higham",
   year = "1997",
   title = "Recent Developments in Dense Numerical Linear Algebra",
   booktitle = "The State of the Art in Numerical Analysis",
   editor = "I. S. Duff and G. A. Watson",
   pages = "1--26",
   publisher = "Oxford University Press, London, UK",
   kwds = "la, stat"
}

@inproceedings{hist:87,
   author = "N. J. Higham and G. W. Stewart",
   year = "1987",
   title = "Numerical Linear Algebra in Statistical Computing",
   booktitle = "The State of the Art in Numerical Analysis",
   editor = "A. Iserles and M. J. D. Powell",
   pages = "41--57",
   publisher = "Oxford University Press, London, UK",
   kwds = "la, stat"
}

ho- hu-

@phdthesis{hoff:89a,
   author = "W. Hoffman",
   year = "1989",
   title = "Basic Transformations in Linear Algebra for Vector Computing",
   school = "University of Amsterdam", 
   address = "the Netherlands",
   type = "{Ph.D.} thesis",
   kwds = "illp, regul"
}

@article{hoff:89,
   author = "W. Hoffman",
   year = "1989",
   title = "Iterative Algorithms for {Gram-Schmidt} Orthogonalization",
   journal = "Computing",
   volume = "41",
   pages = "335--348",
   kwds = "grsch, orth"
}

@article{hofl:79,
   author = "J. N. Holt and R. Fletcher",
   year = "1979",
   title = "An Algorithm for Constrained Non-linear Least-squares",
   journal = "J. Inst. Maths. Applic.",
   volume = "23",
   pages = "449--463",
   kwds = "nlsq, constr"
}

@article{hopa:92,
   author = "H. P. Hong and C. T. Pan",
   year = "1992",
   title = "Rank-Revealing {QR} factorization and the Singular Value 
        Decomposition",
   journal = "Math. Comp.",
   volume = "58",
   pages = "213--232",
   kwds = "rrqr"
}

@article{hova:97,
   author = "P. D. Hough and S. A. Vavasis",
   year = "1997",
   title = "Complete Orthogonal Decomposition for Weighted Least Squares",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "18",
   pages = "369--392",
   kwds = "wlsq"
}

@article{hous:58,
   author = "A. S. Householder",
   year = "1958",
   title = "Unitary Triangularization of a Nonsymmetric Matrix",
   journal = "J. Assoc. Comput. Mach.",
   volume = "5",
   pages = "339--342",
   kwds = " qrd"
}

@book{hous:74,
   author = "A. S. Householder",
   year = "1974",
   title = "The Theory of Matrices in Numerical Analysis",
   publisher = "Dover",
   address = "New York",
   kwds = " survey"
}

@article{hoba:60,
   author = "A. S. Householder and F. L. Bauer",
   year = "1960",
   title = "On Certain Iterative Methods for Solving Linear Systems",
   journal = "Numer. Math.",
   volume = "2",
   pages = "55--59",
   kwds = "iter"
}

@book{hube:81,
   author = "P. J. Huber",
   year = "1981",
   title = "Robust Statistics",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, rob"
}

@article{huho:85,
   author = "M. F. Hutchinson and F. R. de Hoog",
   year = "1985",
   title = "Smoothing Noisy Data with Spline Functions",
   journal = "Numer. Math.",
   volume = "47",
   pages = "99--106",
   kwds = "regul, spline"
}

@techreport{hwlp:93,
   author = "T.-M. Hwang and W.-W. Lin and D. L. Pierce",
   year = "1993",
   title = "An Alternate Column Selection Criterion for a Rank
		  Revealing {QR} Factorization",
   institution = "Boeing Computer Services, Research and Technology",
   address = "Seattle, WA",
   type = "{Tech. Report}",
   number = "BCSTECH-93-021",
   kwds = "sparse, rrqr"
}

@article{hwly:92,
   author = "T.-M. Hwang and W.-W Lin and E. K. Yang",
   year = "1992",
   title = "Rank Revealing {LU} Factorizations",
   journal = "Linear Algebra Appl.",
   volume = "175",
   pages = "115--141",
   kwds = "lud"
}


@incollection{ikra:85,
   author = "H. D. Ikramov",
   year = "1985",
   title = "Sparse Linear Least-Squares Problems",
   booktitle = "Advances in Sciences and Technology: Mathematical Analysis",
   volume = "23",
   editor = "R. V. Gamkredlidze",
   publisher = "Academy of Sciences, Moscow",
   note = "In Russian",
   pages = "219--285",
   kwds = "sparse, survey"
}

ja- je- jo-

@article{jaco:1845,
   author = "Jacobi, C. J. G.",
   year = "1845",
   title = "{{\"U}ber eine neue Aufl{\"o}sungsart der bei der Methode der
              kleinsten Quadrate vorkommenden line{\"a}ren Gleichungen}",
   journal = "Astronomische Nachrichten",
   volume  = "22",
   number  = "523",
   pages   = "297--306",
   kwds = "qrd, rot"
}

@article{japh:91,
   author = "W. Jalby and B. Philippe",
   year = "1991",
   title = "Stability Analysis and Improvement of the Block {Gram-Schmidt}
	Algorithm",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "12",
   pages = "1058--1073",
   kwds = "grsch"
}

@article{jame:92,
   author = "D. James",
   year = "1992",
   title = "Implicit Nullspace Iterative Methods for Constrained Least 
	Squares Problems",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "13",
   pages = "962--978",
   kwds = "iter, constr, sparse"
}

@article{jawo:77,
   author = "M. Jankowski and H. Wozniakowski",
   year = "1977",
   title = "Iterative Refinement Implies Numerical Stability",
   journal = "BIT",
   volume = "17",
   pages = "303--311",
   kwds = "ir"
}

@article{jeaj:84,
   author = "A. Jennings and M. A. Ajiz",
   year = "1984",
   title = "Incomplete Methods for Solving {$A^TAx=b$}",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "978--987",
   kwds = "cg, precond"
}

@article{jeos:74,
   author = "L. S. Jennings and M. R. Osborne",
   year = "1974",
   title = "A Direct Error Analysis for Least Squares",
   journal = "Numer. Math.",
   volume = "22",
   pages = "322--332",
   kwds = "err"
}

@article{jeso:94,
   author = "E. Jessup and D. C. Sorenson",
   year = "1994",
   title = "A Parallel Algorithm for Computing the Singular Value
		  Decomposition of a Matrix",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "15",
   pages = "530--548",
   kwds = "svd, prll",
}

@article{jin:96,
   author = "X.-Q. Jin",
   year = "1996",
   title = "A Preconditioner for Constrained and Weighted Least
		  Squares Problems with {Toeplitz} Structure",
   journal = "BIT",
   volume = "36",
   pages = "101--109",
   kwds = "toepl, cg, precond"
}

@article{jodm:63,
   author = "D.~M. Johnson and A.~L. Dulmage and N.~S. Mendelsohn",
   year = "1963",
   title = "Connectivity and Reducibility of Graphs",
   journal = "Canad. J. Math.",
   volume = "14",
   pages = "529--539",
   kwds = "sparse, graph "
}

@article{jord:68,
   author = "T. L. Jordan",
   year = "1968",
   title = "Experiments on Error Growth Associated with some Linear 
	Least-squares Procedures",
   journal = "Math. Comp.",
   volume = "22",
   pages = "579--588",
   kwds = "grsch"
}

ka-

@article{kacz:37,
   author = "S. Kaczmarz",
   year = "1937",
   title = "Angen{\"a}herte {Aufl{\"o}sung} von {Systemen} linearer {Gleichungen}",
   journal = "Bulletin Internat. Acad. Polon. Sciences et Lettres",
   pages = "355--357",
   kwds = "iter"
}

@article{kaha:66,
   author = "W. Kahan",
   year = "1966",
   title = "Numerical Linear Algebra",
   journal = "Canad. Math. Bull.",
   volume = "9",
   pages = "757--801",
   kwds = " cond, survey"
}

@techreport{kaha:66a,
   author = "W. Kahan",
   year = "1966",
   title = "Accurate Eigenvalues of a Symmetric Tridiagonal Matrix",
   institution = "Computer Science Department, Stanford University",
   address = "CA",
   type = "{Tech. Report}",
   number = "CS-41",
   note = "{Revised June 1968}",
   kwds = "geig, regul"
}

@article{kasa:89,
   author = "C. Kamath and A. Sameh",
   year = "1988/89",
   title = "A Projection Method for Solving Nonsymmetric Linear Systems on
	Multiprocessors",
   journal = "Parallel Computing",
   volume = "9",
   pages = "291--312",
   kwds = "iter, prll"
}


@article{kara:74,
   author = "I. Karasalo",
   year = "1974",
   title = "A Criterion for Truncation of the {QR} Decomposition Algorithm 
	for the Singular Linear Least Squares Problem",
   journal = "BIT",
   volume = "14",
   pages = "156--166",
   kwds = "cond, rank"
}

@article{kauf:75,
   author = "L. Kaufman",
   year = "1975",
   title = "Variable Projection Methods for Solving Separable Nonlinear 
	Least Squares Problems",
   journal = "BIT",
   volume = "15",
   pages = "49--57",
   kwds = "nlsq, varpro"
}

@article{kauf:79,
   author = "L. Kaufman",
   year = "1979",
   title = "Application of Dense {Householder} Transformation to a Sparse Matrix",
   journal = "ACM Trans. Math. Software",
   volume = "5",
   pages = "442--450",
   kwds = "sparse, qrd"
}


@article{kauf:84,
   author = "L. Kaufman",
   year = "1984",
   title = "Banded eigenvalue solvers on vector machines",
   journal = "ACM Trans. Math. Software",
   volume = "10",
   pages = "73--86",
   kwds = "band, eigv"
}


@article{kauf:87,
   author = "L. Kaufman",
   year = "1987",
   title = "The Generalized {Householder} Transformation and Sparse Matrices",
   journal = "Linear Algebra Appl.",
   volume = "90",
   pages = "221--234",
   kwds = "sparse, qrd"
}


@article{kape:78,
   author = "L. Kaufman and V. Pereyra",
   year = "1978",
   title = "A method for Separable Nonlinear Least Squares Problems with 
	Separable Nonlinear Equality Constraints",
   journal = "SIAM J. Numer. Anal.",
   volume = "15",
   pages = "12--20",
   kwds = "nlsq, varpro"
}

@article{kasy:92,
   author = "L. Kaufman and G. Sylvester",
   year = "1992",
   title = "Separable Nonlinear Least Squares Problems with Multiple
	Right Hand Sides",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "13",
   pages = "68--89",
   kwds = "nlsq, varpro"
}

@article{kell:65,
   author = "J. Keller",
   year = "1965",
   title = "On the Solution of Singular and Semidefinite Linear Systems 
	by Iterations",
   journal = "J. Soc. Indust. Appl. Math. Ser. B ",
   volume = "2",
   pages = "281--290",
   kwds = "iter, ginv"
}

@article{kija:74,
   author = "A. Kie{\l}basi\'nski and J. Jankowska",
   year = "1974",
   title = "Fehleranalyse der {Schmidtschen} und {Powellschen 
            Orthonormalisierungsverfahren}",
   journal = "ZAMM",
   volume = "54",
   pages = "223",
   kwds = "err,grsch "
}

@book{kisc:88,
   author = "A. Kie{\l}basi\'nski and H. Schwetlick",
   year = "1988",
   title = "Numerische Lineare {Algebra}",
   publisher = "VEB Deutscher Verlag der Wissenschaften",
   address = "Berlin",
   kwds = "survey "
}

@article{kogb:55,
   author = "E. G. Kogbetliantz",
   year = "1955",
   title = "Solution of Linear Equations by Diagonalization of 
	Coefficients Matrix",
   journal = "Quart. Appl. Math.",
   volume = "13",
   pages = "123--132",
   kwds = "svd, jacobi"
}

@article{kola:78,
   author = "G. B. Kolata",
   year = "1978",
   title = "Geodesy: Dealing with an Enormous Computer Task",
   journal = "Science",
   volume = "200",
   pages = "421--422",
   kwds = "sparse, geod"
}

@article{kopa:81,
   author = "S. Kourouklis and C. C. Paige",
   year = "1981",
   title = "A Constrained Approach to the General {Gauss-Markov} Linear Model",
   journal = "J. Amer. Statist. Assoc.",
   volume = "76",
   pages = "620-625",
   kwds = "stat, regr, glsq, constr"
}

@article{kova:70,
   author = "Z. V. Kovarik",
   year = "1970",
   title = "Some Iterative Methods for Improving Orthonormality",
   journal = "SIAM J. Numer. Anal.",
   volume = "7",
   pages = "386--389",
   kwds = "orth"
}

@article{krog:74,
   author = "F. T. Krogh",
   year = "1974",
   title = "Efficient Implementation of a Variable Projection Algorithm 
	for Nonlinear Least Squares",
   journal = "Comm. ACM",
   volume = "17",
   pages = "167--169",
   kwds = "nlsq, varpro"
}

la-

@book{lati:85,
   author = "P. Lancaster and M. Tismenetsky",
   year = "1985",
   title = "The Theory of Matrices",
   publisher = "Academic Press",
   address = "New York",
   notes = "Second Ed.",
   kwds = "survey"
}

@article{lanc:50,
   author = "C. Lanczos",
   year = "1950",
   title = "An Iteration Method for the Solution of the Eigenvalue
		  Problem of Linear Differential and Integral Operators",
   journal = "J. Res. Nat. Bur. Standards",
   volume = "45",
   pages = "255--282",
   kwds = "svd, eigv"
}

@book{lanc:61,
   author = "C. Lanczos",
   year = "1961",
   title = "Linear Differential Operators",
   publisher = "D. Van Nostrand",
   address = "London, UK",
   kwds = "svd"
}

@article{land:51,
   author = "L. Landweber",
   year =  "1951",
   title = "An iterative formula for {Fredholm} integral equations of the first kind",
   journal = "Amer. J. Math.",
   volume = "73",
   pages = "615--624",
   kwds = "iter,illp"
}

@book{lapl:1816,
   author = "P. S. Laplace",
   year = "1816",
   title = "Th\'eorie analytique des probabilit\'es. Premier
		  suppl\'ement, {\rm 3rd ed.}",
   publisher = "Courcier",
   address = "Paris",
   notes = "with an introduction and three supplements",
   kwds = "hist"
}

@phdthesis{laws:61,
   author = "C. L. Lawson",
   year = "1961",
   title = "Contributions to the Theory of Linear Least Maximum Approximation",
   school  = "UCLA",
   address = "Los Angeles, CA",
   type = "{Ph.D.} thesis",
   kwds = ""
}
@techreport{laws:73,
   author = "C. L. Lawson",
   year = "1973",
   title = "Sparse Matrix Methods Based on Orthogonality and Conjugacy",
   institution = "Jet Propulsion Lab., Cal. Inst. of Tech.",
   address = "Pasadena, CA",
   type = "Tech. Mem.",
   number = "33-627, June 1973",
   kwds = " soft, blas"
}

@book{laha:74,
   author = "C. L. Lawson and R. J. Hanson",
   year = "1974",
   title = "Solving Least Squares Problems",
   publisher = "Prentice Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "qrd, pert, survey"
}

@book{laha:95,
   author = "C. L. Lawson and R. J. Hanson",
   year = "1995",
   title = "Solving Least Squares Problems",
   series = "Classics in Applied Mathematics",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "survey"
}

@article{lhkk:79,
   author = "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F. T. Krogh",
   year = "1979",
   title = "Basic Linear Algebra Subprograms for {Fortran} Usage",
   journal = "ACM Trans. Math. Software",
   volume = "5",
   pages = "308-323",
   kwds = " soft, blas"
}

le-

@book{lege:1805,
   author = "A. M. Legendre",
   year = "1805",
   title = "Nouvelles m\'ethodes pour la d\'etermination des orbites
            des com\`etes",
   publisher = "Courcier",
   address = "Paris",
   kwds = "hist"
}

@article{leme:75,
   author = "F. Lemeire",
   year = "1975",
   title = "Bounds for Condition Numbers of Triangular and Trapezoid Matrices",
   journal = "BIT",
   volume = "15",
   pages = "58--64",
   kwds = "cond"
}

@techreport{lewe:70,
   author = "{\"O}. Leringe and P.-{\AA}. Wedin",
   year = "1970",
   title = "A Comparison between Different Methods to Compute a
            Vector $x$ which Minimizes {$\|Ax-b\|_2$} when
	    {$Gx=h$}",
   institution = "Department of Computer Science, Lund University",
   address = "Lund, Sweden",
   type = "{Tech. Report}",
   kwds = "constr"
}

@article{leve:44,
   author = "K. Levenberg",
   year = "1944",
   title = "A Method for the Solution of Certain Non-Linear
            Problems in Least Squares",
   journal = "Quart. Appl. Math.",
   volume = "2",
   pages = "164--168",
   kwds = "nlsq, regul"
}

@techreport{lepw:89,
   author = "J. G. Lewis and D. J. Pierce and D. K. Wah",
   year = "1989",
   title = "Multifrontal {Householder} {QR} Factorization",
   institution = "Boeing Computer Services",
   address = "Seattle, WA",
   type = "{Tech. Report}",
   number = "ECA-TR-127-Revised",
   kwds = "sparse, qrd"
}

li-

@article{lile:98,
   author = "C. Li and B. Li and D. J. Evans",
   year = "1998",
   title = "A Generalized Successive Overrelaxation Method for 
         Least Squares Problems",
   journal = "BIT",
   volume = "38",
   pages = "347--355",
   kwds = "ssor, iter"
}

@techreport{li:93,
   author = "Y. Li",
   year = "1993",
   title = "Solving $l_p$ Problems and Applications",
   institution = "Advanced Computing Research Institute, Cornell University",
   address = "Ithaca, NY",
   type = "{Tech. Report}",
   number = "CTC93TR122, 03/93",
   kwds = "rob"   
}

@article{li:93a,
   author = "Y. Li",
   year = "1993",
   title = "A Globally Convergent Method for $l_p$ Problems",
   journal = "SIAM J. Optim.",
   volume = "3",
   pages = "609--629",
   kwds = "rob"
}


@article{licr:85,
   author = "Y. Lin and C. W. Cryer",
   year = "1985",
   title = "An Alternating Direction Implicit Algorithm for the
		  Solution of Linear Complementarity Problems Arising
		  From Free Boundary Problems",
   journal = "J. Appl. Math. Optim.",
   volume = "13",
   pages = "1--17",
   kwds = "constr"
}

@article{lipa:87,
   author = "Y. Lin and J. S. Pang",
   year = "1987",
   title = "Iterative Methods for Large Convex Quadratic Programs: A Survey",
   journal = "SIAM J. Control Optim.",
   volume = "25",
   pages = "383--411",
   kwds = "constr"
}

@techreport{lind:82,
   author = "P. Lindstr{\"o}m",
   year = "1982",
   title = "A Stabilized {Gauss-Newton} Algorithm for Unconstrained Nonlinear 
	Least Squares Problems",
   institution = "Institute of Information Processing, University of Ume{\aa}",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--102.82",
   kwds = "nlsq"
}

@techreport{lind:83,
   author = "P. Lindstr{\"o}m",
   year = "1983",
   title = "A General Purpose Algorithm for Nonlinear Least Squares Problems 
	with Nonlinear Constraints",
   institution = "Institute of Information Processing, University of Ume\aa",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--102.83",
   kwds = "nlsq, constr"
}

@techreport{lind:84,
   author = "P. Lindstr{\"o}m",
   year = "1984",
   title = "Two user guides, one ({ENLSIP}) for constrained --- 
	one ({ELSUNC}) for unconstrained nonlinear least squares problems",
   institution = "Institute of Information Processing, University of Ume\aa",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--109.82 and 110.84",
   kwds = "nlsq, constr, soft"
}

@article{liwe:84,
   author = "P. Lindstr{\"o}m and P.-{\AA}. Wedin",
   year = "1984",
   title = "A New Linesearch Algorithm for Unconstrained Nonlinear 
	Least Squares Problems",
   journal = "Math. Programming",
   volume = "29",
   pages = "268--296",
   kwds = "nlsq"
}

@techreport{liwe:86,
   author = "P. Lindstr{\"o}m and P.-{\AA}. Wedin",
   year = "1986",
   title = "Methods and Software for Nonlinear Least Squares Problems",
   institution = "Institute of Information Processing, University of Ume\aa",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--133.87",
   kwds = "nlsq, soft"
}

@book{linn:61,
   author = "I. Linnik",
   year = "1961",
   title = "Method of Least Squares and Principles of the Theory of Observations",
   publisher = "Pergamon Press",
   address = "New York",
   kwds = "stat, survey"
}

@article{lirt:79,
   author = "R. J. Lipton and D. J. Rose and R. E. Tarjan",
   year = "1979",
   title = "Generalized Nested Dissection",
   journal = "SIAM J. Numer. Anal. ",
   volume = "16",
   pages = "346--358",
   kwds = "sparse, nestdis"
}

@article{liu:86,
   author = "J. W.-H. Liu",
   year = "1986",
   title = "On General Row Merging Schemes for Sparse {Givens} Transformations",
   journal = "SIAM J. Sci. Statist. Comput. ",
   volume = "7",
   pages = "1190--1211",
   kwds = "sparse, rot, multfr"
}

@article{liu:90,
   author = "J. W.-H. Liu",
   year = "1990",
   title = "The Role of Elimination Trees in Sparse Factorization",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "11",
   pages = "134--172",
   kwds = "sparse, multfr"
}

@article{liu:92,
   author = "J. W.-H. Liu",
   year = "1992",
   title = "The Multifrontal Method for Sparse Matrix Solution: 
	{Theory} and Practice",
   journal = "SIAM Review",
   volume = "34",
   pages = "82--109",
   kwds = "sparse, multfr"
}

lo-

@article{long:81,
   author = "J. W. Longley",
   year = "1981",
   title = "Modified {Gram-Schmidt} Process vs. Classical {Gram-Schmidt}",
   journal = "Comm. Statist. Simulation Comput.",
   volume = " B10, 5",
   pages = "517--527",
   kwds = "grsch"
}

@book{long:84,
   author = "J. W. Longley",
   year = "1984",
   title = "Least Squares Computations Using Orthogonal Methods",
   publisher = "Marcel Dekker",
   address = "New York",
   kwds = "orth, grsch, survey"
}

@incollection{loui:87,
   author = "A. K. Louis",
   year = "1987",
   title = "Convergence of the Conjugate Gradient Method for Compact Operators",
   booktitle = "Inverse and Ill-posed Problems",
   editor = "H. W. Engl and C. W. Groetsch",
   publisher = "Academic Press, New York",
   pages = "177--183",
   kwds = "sparse, augms"
}


@article{luba:96,
   author = "S.-M. Lu and J. L. Barlow",
   year = "1996",
   title = "Multifrontal Computation with the Orthogonal Factors of Sparse Matrices",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "17",
   pages = "658--679",
   kwds = "sparse, qrd"
}

@article{luk:80,
   author = "F. T. Luk",
   year = "1980",
   title = "Computing the Singular Value Decomposition on the {ILLIAC IV}",
   journal = "ACM Trans. Math. Software",
   volume = "6",
   pages = "524--539",
   kwds = "prll, svd"
}


@article{luk:85,
   author = "F. T. Luk",
   year = "1985",
   title = "A Parallel Method for Computing the Generalized
            Singular Value Decomposition",
   journal = "J. Parallel Distributed Comput.",
   volume = "2",
   pages = "250--260",
   kwds = "prll, gsvd"
}

@article{luk:86,
   author = "F. T. Luk",
   year = "1986",
   title = "A Rotation Method for Computing the {QR}-Decomposition",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "452--459",
   kwds = "prll, qrd, rot"
}

@article{luqi:87,
   author = "F. T. Luk and S. Qiao",
   year = "1987",
   title = "A Fast but Unstable Orthogonal Triangularization Technique
	for {Toeplitz} Matrices",
   journal = "Linear Algebra Appl.",
   volume = "88/89",
   pages = "495--506",
   kwds = "toep, qrd"
}

@article{luqi:94,
   author = "F. T. Luk and S. Qiao",
   year = "1994",
   title = "A New Matrix Decomposition for Signal Processing",
   journal = "Automatica",
   volume = "30",
   pages = "39--43",
   kwds = "upd, gqrd, signal"
}

@article{lums:91,
   author = "I. Lustig and R. Marsten and D. Shanno",
   year = "1991",
   title = "Computational Experience with a Primal-Dual Interior Point
		  Method for Linear Programming",
   journal = "Linear Algebra Appl.",
   volume = "152",
   pages = "191--222",
   kwds = "constr"
}

@article{lauc:59,
   author = "P. L{\"a}uchli",
   year = "1959",
   title = "{Iterative L\"osung und Fehlerabsch\"atzung in der 
	Ausgleichrechnung}",
   journal = "ZAMP",
   volume = "10",
   pages = "245--280",
   kwds = "iter, precond, err"
}

@article{lauc:61,
   author = "P. L{\"a}uchli",
   year = "1961",
   title = "{Jordan-Elimination und Ausgleichung nach kleinsten Quadraten}",
   journal = "Numer. Math.",
   volume = "3",
   pages = "226--240",
   kwds = "iter, precond"
}

@article{lots:83,
   author = "P. L{\"o}tstedt",
   year = "1983",
   title = "Perturbation Bounds for the Linear Least Squares
            Problem Subject to Linear Inequality Constraints",
   journal = "BIT",
   volume = "23",
   pages = "500--519",
   kwds = "pert, constr"
}

@article{lots:84,
   author = "P. L{\"o}tstedt",
   year = "1984",
   title = "Solving the Minimal Least Squares Problem Subject to Bounds 
	on the Variables",
   journal = "BIT",
   volume = "24",
   pages = "206--224",
   kwds = "constr, rank"
}

ma-

@article{mani:90,
   author = "K. Madsen and H. B. Nielsen",
   year = "1990",
   title = "Finite Algorithms for Robust Regression",
   journal = "BIT",
   volume = "30",
   pages = "682--699",
   kwds = "rob"
}

@article{mani:93,
   author = "K. Madsen and H. B. Nielsen",
   year = "1993",
   title = "A Finite Smoothing Algorithm for Linear $l_1$ Estimation",
   journal = "SIAM J. Optim.",
   volume = "3",
   pages = "68--80",
   kwds = "rob"
}

@phdthesis{mahd:81,
   author = "N. Mahdavi-Amiri",
   year = "1981",
   title = "Generally Constrained Nonlinear Least Squares and Generating 
	Test Problems: Algorithmic Approach",
   school = "The John Hopkins University",
   address = "Baltimore, MD",
   type = "{Ph.D.} thesis",
   kwds = "nlsq, constr"
}

@book{main:84,
   author = "J. H. Maindonald",
   year = "1984",
   title = "Statistical Computation",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, survey"
}

@phdthesis{mann:85,
   author = "P. Manneback",
   year = "1985",
   title = "On Some Numerical Methods for Solving Large Sparse Linear 
	Least Squares Problems",
   school = "Facult\'es Universitaires Notre-Dame de la Paix",
   address = "Namur, Belgium",
   type = "{Ph.D.} thesis",
   kwds = "sparse, thesis"
}

@phdthesis{mala:92,
   author = "J. Malard",
   year = "1992",
   title = "Block Solvers for Dense Linear Systems On Local Memory Multiprocessors",
   school = "School of Computer Science, McGill University",
   address = "Montr\'eal, Canada",
   type = "{Ph.D.} thesis",
   kwds = "sparse, thesis"
}

@article{mamt:85,
   author = "P. Manneback and C. Murigande and P. L. Toint",
   year = "1985",
   title = "A Modification of an Algorithm by {Golub} and {Plemmons} for Large 
	Linear Least Squares in the Context of {Doppler} Positioning",
   journal = "IMA J. Numer. Anal.",
   volume = "5",
   pages = "221--234",
   kwds = "iter, basys"
}

@techreport{mant:79,
   author = "T. A. Manteuffel",
   year = "1979",
   title = "Numerical Rank Determination in Linear Least Squares Problems",
   institution = "Sandia Laboratories",
   address = " Albuquerque, NM",
   type = "{Tech. Report}",
   number = "SAND 79-8243",
   kwds = "rank, err"
}

@article{mant:80,
   author = "T. A. Manteuffel",
   year = "1980",
   title = "An Incomplete Factorization Technique for Positive Definite 
	Linear Systems",
   journal = "Math. Comp.",
   volume = "34",
   pages = "473--497",
   kwds = "iter, precond"
}

@article{mant:81,
   author = "T. A. Manteuffel",
   year = "1981",
   title = "An Interval Analysis Approach to Rank Determination
	in Linear Least Squares Problems",
   journal = "SIAM J. Sci. Statist. Comp.",
   volume = "2",
   pages = "335--348",
   kwds = "rank, err"
}

@article{manp:85,
   author = "T. L. Markham and M. Neumann and R. J. Plemmons",
   year = "1985",
   title = "Convergence of a Direct-Iterative Method for Large-Scale 
	Least-squares Problems",
   journal = "Linear Algebra Appl.",
   volume = "69",
   pages = "155--167",
   kwds = "iter, precond"
}

@book{mark:12,
   author = "A. A. Markoff",
   year = "1912",
   title = "Wahrscheinlichheitsrechnung, 2nd. ed., H. Liebmann, Trans.",
   address = "Leipzig",
   kwds = "stat"
}

@article{mark:57,
   author = "H. M. Markowitz",
   year = "1957",
   title = "The Elimination Form of the Inverse and its Application to 
	Linear Programming",
   journal = "Management Sci.",
   volume = "3",
   pages = "255--269",
   kwds = "sparse, perm"
}

@article{marq:63,
   author = "D. W. Marquardt",
   year = "1963",
   title = "An Algorithm for Least-Squares Estimation of
            Nonlinear Parameters",
   journal = "J. Soc. Indust. Appl. Math.",
   volume = "11",
   pages = "431--441",
   kwds = "nlsq, regul"
}

@article{mart:87,
   author = "J. M. Martinez",
   year = "1987",
   title = "An Algorithm for Solving Sparse Nonlinear Least Squares Problems",
   journal = "Computing",
   volume = "39",
   pages = "307--325",
   kwds = "iter, sparse, nlsq"
}

@phdthesis{mats:91,
   author = "P. Matstoms",
   year = "1991",
   title = "The Multifrontal Solution of Sparse Linear Least Squares Problems",
   school = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Lic.} thesis",
   kwds = "sparse, qrd, multfr"
}

@techreport{mats:92,
   author = "P. Matstoms",
   year = "1992",
   title = "{QR}{\rm 27}---{Specification} Sheet",
   type = "{Tech. Report}",
   institution = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   number = "March 1992",
   kwds = "sparse, qrd, softw"
}

@phdthesis{mats:94,
   author = "P. Matstoms",
   year = "1994",
   title = "Sparse {QR} Factorization with Applications to Linear
		  Least Squares Problems",
   school = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Ph.D.} thesis",
   kwds = "sparse, qrd, multfr"
}

@article{mats:94a,
   author = "P. Matstoms",
   year = "1994",
   title = "Sparse {QR} Factorization in {MATLAB}",
   journal = "ACM Trans. Math. Software",
   volume = "20",
   pages = "136--159",
   kwds = "sparse, qrd, multfr"
}

@article{mats:95,
   author = "P. Matstoms",
   year = "1995",
   title = "Parallel Sparse {QR} Factorization on Shared Memory Architectures",
   journal = "Parallel Comput.",
   volume = "21",
   pages = "473--486",
   kwds = "sparse, qrd, multfr,prll"
}

@article{matt:97,
   author = "Urs von Matt",
   year = "1997",
   title = "The Orthogonal qd-Algorithm",
   journal = "SIAM J. Sci. Comput.",
   volume = "18",
   pages = "1163--1186",
   kwds = "svd"
}

@article{mevo:77,
   author = "J. A. Meijerink and H. van der Vorst",
   year = "1977",
   title = "An Iterative Method for Linear Systems of which the Coefficient 
	Matrix is a Symmetric {M}-matrix",
   journal = "Math. Comp.",
   volume = "31",
   pages = "148--162",
   kwds = "iter, precond"
}

@article{mein:83,
   author = "J. Meinguet",
   year = "1983",
   title = "Refined Error Analysis of {Cholesky} Factorization",
   journal = "SIAM J. Numer. Anal.",
   volume = "20",
   pages = "1243--1250",
   kwds = "err, chol"
}

@techreport{meis:80,
   author = "P. Meissl",
   year = "1980",
   title = "A Priori Prediction of Roundoff Error Accumulation in the
            Solution of a Super-Large Geodetic Normal Equation System",
   institution = "National Oceanic and Atmospheric Administration",
   type = "Professional Paper",
   number = "12",
   kwds = "geod, err, ne"
}

@article{meye:73,
   author = "C. D. Meyer",
   year = "1973",
   title = "Generalized Inversion of Modified Matrices",
   journal = "SIAM J. Appl. Math.",
   volume = "24",
   pages = "315--323",
   kwds = "update"
}

mi-  mo-

@article{mirs:60,
   author = "L. Mirsky",
   year = "1960",
   title = "Symmetric Gauge Functions and Unitarily Invariant Norms",
   journal = "Quart. J. Math. Oxford",
   volume = "11",
   pages = "50--59",
   kwds = " max"
}

@article{mocl:84,
   author = "J. J. Modi and M. R. B. Clarke",
   year = "1984",
   title = "An Alternate {Givens} Ordering",
   journal = "Numer. Math.",
   volume = "43",
   pages = "83--90",
   kwds = "prll, rot"
}

@article{mole:67,
   author = "C. B. Moler",
   year = "1967",
   title = "Iterative Refinement in Floating Point",
   journal = "J. Assoc. Comput. Mach.",
   volume = "14",
   pages = "316--321",
   kwds = "ir"
}

@incollection{moli:77,
   author = "L. Molinari",
   year = "1977",
   title = "{Gram-Schmidt'sches Orthogonalisierungsverfahren}",
   booktitle = "{Numerische Prozeduren aus Nachlass und Lehre 
	von Prof. Heinz Rutishauser}",
   editor = "W. Gander and L. Molinari and H. Svecov\'a",
   pages = "77--93",
   publisher = "Birkh{\"a}user, Stuttgart",
   kwds = "grsch, orth"
}

@article{movv:92,
   author = "M. Moonen and P. {Van Dooren} and J. Vandewalle",
   year = "1992",
   title = "An {SVD} Updating Algorithm for Subspace Tracking",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "13",
   pages = "1015--1038",
   kwds = "upd, signal, svd"
}

@article{movv:93,
   author = "M. Moonen and P. {Van Dooren} and F. Vanpoucke",
   year = "1993",
   title = "On the {QR} Algorithm and Updating the {SVD} and {URV} Decompositions		in Parallel",
   journal = "Linear Algebra Appl.",
   volume = "188/189",
   pages = "549--568",
   kwds = "upd, svd, qrd,prll"
}

@article{mosg:90,
   author = "R. Morandi and F. Sgallari",
   year = "1990",
   title = "Parallel Algorithms for the Iterative Solution of Sparse
		  Least-Squares Problems",
   journal = "Parallel Comput.",
   volume = "13",
   pages = "271--280",
   kwds = "iter, prll"
}

@inproceedings{more:78,
   author = "J. J. Mor\'e",
   year = "1978",
   title = "The {Levenberg-Marquardt} Algorithm: Implementation and Theory",
   booktitle = "Numerical Analysis. Proceedings Biennial Conference Dundee 1977",
   editor = "G. A. Watson",
   pages = "105--116",
   publisher = "Springer-Verlag, Berlin",
   series = " Lecture Notes in Mathematics",
   volume = "630",
   kwds = "nlsq"
}

@inproceedings{more:83,
   author = "J. J. Mor\'e",
   year = "1983",
   title = "Recent Developments in Algorithms and Software for 
	Trust Region-methods",
   booktitle = "Mathematical Programming. The State of the Art, 
	Proceedings Bonn 1982",
   editor = "A. Bachem and M. Gr{\"o}tchel and B. Korte",
   pages = "258--287",
   publisher = "Springer-Verlag, Berlin",
   kwds = "nlsq, soft, survey"
}

@article{moto:89,
   author = "J. J. Mor\'e and G. Toraldo",
   year = "1989",
   title = "Algorithms for Bound Constrained Quadratic Programming Problems",
   journal = "Numer. Math.",
   volume = "55",
   pages = "377--400",
   kwds = "nlsq, soft, survey"
}

@techreport{mogh:80,
   author = "J. J. Mor\'e and B. S. Garbow and K. E. Hillstrom",
   year = "1980",
   title = "Users' Guide for {MINPACK}-{\rm 1}",
   institution = "Applied Math. Div., Argonne National Laboratory",
   address = "Argonne, IL",
   type = "{Tech. Report}",
   number = "ANL-80-74",
   note = "",
   kwds = "nlsq, soft"
}

@book{mowr:93,
   author = "J. J. Mor\'e and S.~J.~Wright",
   year = "1993",
   title = "Optimization Software Guide",
   publisher = "SIAM",
   address = "Philadelphia",
   kwds = "opt, nlsq, soft, survey"
}

@book{moor:35,
   author = "E. H. Moore",
   year = "1935",
   title = "General Analysis. Part I",
   publisher = "American Philosophical Society",
   address = "Philadelphia",
   kwds = "ginv"
}

@article{moso:81,
   author = "J. J. Mor\'e and D. C. Sorenson",
   year = "1981",
   title = "Computing a Trust Region Step",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "4",
   pages = "553--572",
   kwds = "nlsq, regul"
}

@article{munk:80,
   author = "N. Munksgaard",
   year = "1980",
   title = "Solving Sparse Symmetric Sets of Linear Equations by
		  Preconditioned Conjugate Gradients",
   journal = "ACM Trans. Math. Software",
   volume = "6",
   pages = "206--219",
   kwds = "sparse, cg, iter, precond"
}

na-

@phdthesis{nagy:91,
   author = "J. G. Nagy",
   year = "1991",
   title = "{Toeplitz} Least Squares Computations",
   school = "North Carolina State University",
   address = "Raleigh, NC",
   type = "{Ph.D.} thesis",
   kwds = "toep"
}

@article{nagy:93,
   author = "J. G. Nagy",
   year = "1993",
   title = "Fast Inverse {QR} Factorization for {Toeplitz} Matrices",
   journal = "SIAM J. Sci. Comput.",
   volume = "14",
   pages = "1174--1193",
   kwds = "qrd, toep"
}

@article{nash:75,
   author = "J. C. Nash",
   year = "1975",
   title = "A One-sided Transformation Method for the Singular Value 
	Decomposition and Algebraic Eigenproblem",
   journal = "Comput. J.",
   volume = "18",
   pages = "74--76",
   kwds = "svd, jacobi"
}

@inproceedings{nash:76a,
   author = "M. Z. Nashed",
   year = "1976",
   title = "Perturbations and Approximations for Generalized Inverses 
and Linear Operator Equations ",
   booktitle = "Generalized Inverses and Applications",
   editor = "M. Z. Nashed",
   pages = "325--396",
   publisher = "Academic Press, New York",
   kwds = "pert, ginv, varpro,"
}

@book{nash:76,
   editor = "M. Z. Nashed",
   year = "1976",
   title = "Generalized Inverses and Applications",
   publisher = "Academic Press",
   address = "New York",
   kwds = "ginv"
}

@article{naza:80,
   author = "L. Nazareth",
   year = "1980",
   title = "Some Recent Approaches to Solving Large Residual Nonlinear 
	Least Squares Problems",	
   journal = "SIAM Review",
   volume = "22",
   pages = "1--11",
   kwds = "nlsq"
}

@article{nemi:86,
   author = "A. S. Nemirovskii",
   year = "1986",
   title = "The Regularization Properties of the Adjoint Gradient
		  Method in Ill-Posed Problems",	
   journal = "USSR Comput. Math. and Math. Phys.",
   volume = "26:2",
   pages = "7--16",
   kwds = "cg, regul"
}

@article{neum:95,
   author = "A. Neumaier",
   year = "1995",
   title = "Hybrid Norms and Bounds for Overdetermined Linear Systems",	
   journal = "Linear Algebra Appl.",
   volume = "216",
   pages = "257--265",
   kwds = "err"
}

@article{niev:00,
   author = "Y. Nievergelt",
   year = "2000",
   title = "A Tutorial History of Least Squares with Applications to
            Astronomy and Geodesy",	
   journal = "J. Comput. Appl. Math",
   volume = "121",
   pages = "37--72",
   kwds = ""
}

@article{nipv:84,
   author = "W. Niethammer and J. de Pillis and R. S. Varga",
   year = "1984",
   title = "Convergence of Block Iterative Methods Applied to Sparse 
	Least-squares Problems",
   journal = "Linear Algebra Appl.",
   volume = "58",
   pages = "327--341",
   kwds = "iter,precond"
}

@article{ng:91,
   author = "E. G. Ng",
   year = "1991",
   title = " A Scheme for Handling Rank Deficiency in the Solution
	of Sparse Linear Least Squares Problems",	
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "12",
   pages = "1173--1183",
   kwds = "nlsq"
}

@inproceedings{nobl:76,
   author = "B. Noble",
   year = "1976",
   title = "Methods for Computing the {Moore-Penrose} Generalized
		  Inverse and Related Matters",
   pages = "245--301",
   booktitle = "Generalized Inverses and Applications. Proceedings of
		  an Advanced Seminar, The University of
		  Wisconsin-Madison, Oct. 1973",
   editor = "M. Z. Nashed",
   publisher = "Academic Press, New York",
   kwds = "ginv"
}

@article{oepr:64,
   author = "W. Oettli and W. Prager",
   year = "1964",
   title = "Compatibility of Approximate Solution of Linear Equations
            with Given Error Bounds for Coefficients and Right-Hand
	    Sides",
   journal = "Numer. Math.",
   volume = "6",
   pages = "405--409",
   kwds = " pert, pert, err"
}

-ol

@article{olea:80,
   author = "D. P. O'Leary",
   year = "1980",
   title = "A Generalized Conjugate Gradient Algorithm for Solving  Class 
	of Quadratic Programming Problems",
   journal = "Linear Algebra Appl.",
   volume = "34",
   pages = "371--399",
   kwds = "cg, iter, quadpr"
}

@article{olea:80a,
   author = "D. P. O'Leary",
   year = "1980",
   title = "Estimating Matrix Condition Numbers",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "1",
   pages = "205--209",
   kwds = "cond"
}

@article{olea:90,
   author = "D. P. O'Leary",
   year = "1990",
   title = "On Bounds For Scaled Projections and Pseudo-Inverses",
   journal = "Linear Algebra Appl.",
   volume = "132",
   pages = "115--117",
   kwds = "wlsq, ginv"
}

@article{olea:90a,
   author = "D. P. O'Leary",
   year = "1990",
   title = "Robust Regression Computation Using Iteratively Reweighted
	Least Squares",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "11",
   pages = "466--480",
   kwds = "rob, regr, iter"
}

@article{olru:86,
   author = "D. P. O'Leary and B. W. Rust",
   year = "1986",
   title = "Confidence Intervals for Inequality-Constrained Least Squares
	Problems, with Applications to Ill-Posed Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "473--489",
   kwds = "err, illp, constr"
}

@article{olsi:81,
   author = "D. P. O'Leary and J. A. Simmons",
   year = "1981",
   title = "A Bidiagonalization-regularization Procedure for Large Scale 
	Discretizations of Ill-posed Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "2",
   pages = "474--489",
   kwds = "iter, lanczos"
}

@article{olwh:90,
   author = "D. P. O'Leary and P. Whitman",
   year = "1990",
   title = "Parallel {QR} Factorization by {Householder} and Modified
		  {Gram-Schmidt} Algorithms",
   journal = "Parallel Comput.",
   volume = "16",
   pages = "99--112",
   kwds = "qrd, grsch, prll"
}

@article{ollb:94,
   author = "S. J. Olszanskyj and J. M. Lebak and A. Bojanczyk",
   year = "1994",
   title = "Rank-$k$ Modification Methods for Recursive Least Squares Problems",
   journal = "Numer. Algorithms",
   volume = "7",
   pages = "325--354",
   kwds = "block, upd, signal, rls"
}

or-

@phdthesis{oreb:86,
   author = "U. Oreborn",
   year = "1986",
   title = "A Direct Method for Sparse Nonnegative Least Squares Problems",
   school = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Licentiat} thesis",
   number = "87",
   kwds = "sparse, constr, qrd, soft"
}

@book{orrh:70,
   author = "J. M. Ortega and W. C. Rheinboldt",
   year = "1970",
   title = "Iterative Solution of Nonlinear Equations in Several Variables",
   publisher = "Academic Press",
   address = "New York",
   kwds = "iter, nlsq, survey"
}


@article{osbo:61,
   author = "E. E. Osborne",
   year = "1961",
   title = "On Least Squares Solutions of Linear Equations",
   journal = "J. Assoc. Comput. Mach.",
   volume = "8",
   pages = "628--636",
   kwds = "lsq"
}

@article{osbo:76,
   author = "E. E. Osborne",
   year = "1976",
   title = "Nonlinear Least Squares---the {Levenberg} Algorithm Revisited",
   journal = "J. Austral. Math. Soc., Ser. B",
   volume = "19",
   pages = "343--357",
   kwds = "nlsq"
}

@article{osbo:76a,
   author = "M. R. Osborne",
   year = "1976",
   title = "On the Computation of Stepwise Regressions",
   journal = "Austral. Comput. J.",
   volume = "8",
   pages = "61--63",
   kwds = "stat, regr"
}

@incollection{osbo:76b,
   author = "M. R. Osborne",
   year = "1976",
   title = "Some Aspects of Nonlinear Least Squares Calculations",
   booktitle = "Numerical Methods for Nonlinear Optimization",
   editor = "F. A. Lootsma",
   pages = "171--189",
   publisher = "Academic Press, New York",
   kwds = "nlsq, opt"
}

@book{osbo:85,
   author = "M. R. Osborne",
   year = "1985",
   title = "Finite Algorithms in Optimization and Data Analysis",
   publisher = "John Wiley",
   address = "New York",
   kwds = "nlsq, opt, survey"
}

@techreport{osbo:94,
   author = "M. R. Osborne",
   year = "1994",
   title = "Solving Least Squares Problems on Parallel Vector Processors",
   institution = "School of Mathematical Sciences, Australian National University",
   address = "Canberra",
   type = "{Tech. Report}",
   number = "",
   kwds = "stat, regr,prll"
}

@book{oszl:83,
   author = "O. {\O}sterby and Z. Zlatev",
   year = "1983",
   title = "Direct Methods for Sparse Matrices",
   series = "Lecture Notes in Computer Science",
   volume = "157",
   publisher = "Springer-Verlag",
   address = "Berlin",
   kwds = "sparse, survey"
}

@article{ostr:87,
   author = "G. Ostrouchov",
   year = "1987",
   title = "Symbolic {Givens} Reduction and Row-ordering in Large Sparse 
	Least Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "248--264",
   kwds = "sparse, perm, rot"
}

@phdthesis{paig:71,
   author = "C. C. Paige",
   year = "1971",
   title = "The Computation of Eigenvalues and Eigenvectors of Very
		  Large Sparse Matrices",
   school = "University of London, UK",
   type = "{Ph.D.} thesis",
   kwds = "sparse, lanczos, iter, thesis"
}

@article{paig:73,
   author = "C. C. Paige",
   year = "1973",
   title = "An Error Analysis of a Method for Solving Matrix Equations",
   journal = "Math. Comp.",
   volume = "27",
   pages = "355--359",
   kwds = "err, uds"
}

@article{paig:74,
   author = "C. C. Paige",
   year = "1974",
   title = "Bidiagonalization of Matrices and Solution of Linear Eqautions",
   journal = "SIAM J. Numer. Anal.",
   volume = "11",
   pages = "197--209",
   kwds = "bid, iter"
}

@article{paig:76,
   author = "C. C. Paige",
   year = "1976",
   title = "Error Analysis of the {Lanczos} Algorithm for Tridiagonalizing
	a Symmetric Matrix",	
   journal = "J. Inst. Math. Applic.",
   volume = "18",
   pages = "341--349",
   kwds = "lanczos"
}

@article{paig:78,
   author = "C. C. Paige",
   year = "1978",
   title = "Numerically Stable Computations for General
            Univariate Linear Models",
   journal = "Comm. Statist.",
   volume = "B7",
   pages = "437--453",
   kwds = "stat, regr, glsq, upd"
}

@article{paig:79,
   author = "C. C. Paige",
   year = "1979",
   title = "Computer Solution and Perturbation Analysis of
            Generalized Linear Least Squares Problems",
   journal = "Math. Comp.",
   volume = "33",
   pages = "171-184",
   kwds = "regr, pert, glsq, pert"
}

@article{paig:79a,
   author = "C. C. Paige",
   year = "1979",
   title = "Fast Numerically Stable Computations for Generalized
            Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "16",
   pages = "165--171",
   kwds = " glsq"
}

@article{paig:80,
   author = "C. C. Paige",
   year = "1980",
   title = "Error Analysis of Some Techniques for Updating Orthogonal
               Decompositions",
   journal = "Math. Comp.",
   volume = "34",
   pages = "465-471",
   kwds = "qrd, upd, downd, err"
}

@article{paig:81,
   author = "C. C. Paige",
   year = "1981",
   title = "Properties of Numerical Algorithms Related to 
	Computing Controllability",
   journal = "IEEE Trans. Automat. Control",
   volume = "26",
   pages = "130--138",
   kwds = "contr"
}

@article{paig:84,
   author = "C. C. Paige",
   year = "1984",
   title = "A Note on a Result of {Sun Ji-guang}: Sensitivity of the
            {CS} and {GSV} Decomposition",
   journal = "SIAM J. Numer. Anal.",
   volume = "21",
   pages = "186-191",
   kwds = "pert, csd, gsvd"
}

@article{paig:85,
   author = "C. C. Paige",
   year = "1985",
   title = "The General Linear Model and the Generalized Singular 
	Value Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "70",
   pages = "269--284",
   kwds = "glsq, gsvd"
}

@article{paig:86,
   author = "C. C. Paige",
   year = "1986",
   title = "Computing the Generalized Singular Value Decomposition",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "7",
   pages = "1126--1146",
   kwds = "gsvd, jacobi"
}

@inproceedings{paig:90,
   author = "C. C. Paige",
   year = "1990",
   title = "Some Aspects of Generalized {QR} Factorizations",
   pages = "71--91",
   booktitle = "Reliable Numerical Computation",
   editor = "M. G. Cox and S. J. Hammarling",
   publisher = "Clarendon Press, Oxford, UK",
   kwds = "gqrd"
}

@article{paig:94,
   author = "C. C. Paige",
   year = "1994",
   title = "History and Generality of the {CS}-Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "208/209",
   pages = "303--326",
   kwds = "glsq, gsvd"
}

@techreport{pata:92,
   author = "C. T. Pan and P. T. P. Tang",
   year = "1992",
   title = "Bounds on Singular Values Revealed by {QR} Factorizations",
   institution = "Mathematics and Computer Science Division",
   address = "Argonne National Laboratory, Argonne, IL",
   type = "Preprint",
   number = "MCS-P332-1092, Oct. 1992",
   kwds = "rrqr"
}

@article{pang:82,
   author = "J. -S. Pang",
   year = "1982",
   title = "On the Convergence of a Basic Iterative Method for the
		  Implicit Complementarity Problem",
   journal = "J. Optim. Theory Appl.",
   volume = "37",
   pages = "149--162",
   kwds = "iter, constr"
}

@article{pasa:77,
   author = "C. C. Paige and M. A. Saunders",
   year = "1977",
   title = "Least Squares Estimation of Discrete Linear Dynamic Systems 
	Using Orthogonal Transformations",
   journal = "SIAM J. Numer. Anal.",
   volume = "14",
   pages = "180--193",
   kwds = "contr, qrd"
}

@article{pasa:81,
   author = "C. C. Paige and M. A. Saunders",
   year = "1981",
   title = "Toward a Generalized Singular Value Decomposition",
   journal = "SIAM J. Numer. Anal.",
   volume = "18",
   pages = "398--405",
   kwds = "gsvd, csd"
}

@article{pasa:82,
   author = "C. C. Paige and M. A. Saunders",
   year = "1982",
   title = "{LSQR}. {An} Algorithm for Sparse Linear Equations and Sparse 
	Least Squares",
   journal = "ACM Trans. Math. Software",
   volume = "8",
   pages = "43--71",
   kwds = "iter, cg, lanczos"
}

@article{pasa:82a,
   author = "C. C. Paige and M. A. Saunders",
   year = "1982",
   title = "Algorithm {\rm 583} {LSQR}: Sparse Linear Equations and Sparse 
	Least Squares",
   journal = "ACM Trans. Math. Software",
   volume = "8",
   pages = "195--209",
   kwds = "iter, cg, lanczos, soft"
}

@article{past:02a,
   author = "C. C. Paige and Z. Strako{\v{s}}",
   year = "2002a",
   title = "Scaled Total Least Squares Fundamentals",
   journal = "Numer. Math.",
   volume = "91:1",
   pages = "117--146",
   kwds = "tls"
}

@inproceedings{past:02b,
   author = "C. C. Paige",
   year = "2002b",
   title = "Unifying Least Squares, Total Least Squares and Data
           Least Squares",
   pages = "25--34",
   booktitle = "Total Least Squares and Errors-in-Variables Modeling",
   editor = "Sabine Van Huffel and Philippe Lemmerling",
   publisher = "Kluwer Academic Publishers, Dordrecht",
   kwds = "qr,struct,tls"
}
		  
@article{pavd:86,
   author = "C. C. Paige and P. {Van Dooren}",
   year = "1986",
   title = "On the Quadratic Convergence of {Kogbetliantz's} Algorithm
		  for Computing the Singular Value Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "77",
   pages = "301--313",
   kwds = "svd"
}

@article{pawe:93,
   author = "C. C. Paige and M. Wei",
   year = "1993",
   title = "Analysis of the Generalized Total Least Squares Problem {$AX\approx B$} 
	when Some Columns are Free of Errors",
   journal = "Numer. Math.",
   volume = "65",
   pages = "177--202",
   kwds = "err, tls"
}

@article{pawe:94,
   author = "C. C. Paige and M. Wei",
   year = "1994",
   title = "History and Generality of the {CS} Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "108/109",
   pages = "303--326",
   kwds = "csd, survey"
}

@article{pan:90,
   author = "C. T. Pan",
   year = "1990",
   title = "A Modification to the {LINPACK} Downdating Algorithm",
   journal = "BIT",
   volume = "30",
   pages = "707--722",
   kwds = "upd, signal, hyp"
}

@article{pan:93,
   author = "C. T. Pan",
   year = "1993",
   title = "A Perturbation Analysis on the Problem of Downdating a
	{Cholesky} Factorization",
   journal = "Linear Algebra Appl.",
   volume = "183",
   pages = "103--116",
   kwds = "upd, pert"
}

@article{papl:89,
   author = "C. T. Pan and R. J. Plemmons",
   year = "1989",
   title = "Least Squares Modifications with Inverse Factorizations:
	Parallel Implementations",
   journal = "J. Comput. Appl. Math.",
   volume = "27",
   pages = "109--127",
   kwds = "upd, prll"
}

@article{pasc:91,
   author = "V. Pan and R. Schreiber",
   year = "1991",
   title = "An Improved Newton Iteration for the Generalized Inverse of a 
Matrix, with Applications",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "12",
   pages = "1109--1130",
   kwds = "iter, ginv"
}

@article{pasp:89,
   author = "E. P. Papadopoulou and Y. G. Saridakis and T. S. Papatheodorou",
   year = "1989",
   title = "Block {AOR} Iterative Schemes for Large-Scale
		  Least-Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "26",
   pages = "637--660",
   kwds = "iter"
}

@article{pael:95a,
   author = "H. Park and L. Eld\'en",
   year = "1995",
   title = "Downdating the Rank-Revealing {URV} Decomposition",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "16",
   pages = "138--155",
   kwds = "upd, rrqr"
}

@techreport{pael:95b,
   author = "H. Park and L. Eld\'en",
   year = "1995",
   title = "Stability Analysis and Fast Algorithms for
		  Triangularization of {Toeplitz} Matrices",
   institution = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "LiTH-MAT-R-1995-16",
   kwds = "toep, qrd"
}

@article{pavh:95,
   author = "H. Park and S. {Van Huffel}",
   year = "1995",
   title = "Two-Way Bidiagonalization Scheme for Downdating the
		  Singular Value  Decomposition",
   journal = "Linear Algebra Appl.",
   volume = "222",
   pages = "23--40",
   kwds = "upd, svd"
}

@book{parl:80,
   author = "B. N. Parlett",
   year = "1980",
   title = "The Symmetric Eigenvalue Problem",
   publisher = "Prentice-Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "eig, survey"
}

@article{pare:70,
   author = "B. N. Parlett and J. K. Reid",
   year = "1970",
   title = "On the Solution of a System of Linear Equations whose Matrix 
	is Symmetric but not Definite",
   journal = "BIT",
   volume = "10",
   pages = "386--397",
   kwds = "augms"
}

@article{part:61,
   author = "S. V. Parter",
   year = "1961",
   title = "The Use of Linear Graphs in {Gauss} Elimination",
   journal = "SIAM Review",
   volume = "3",
   pages = "119--130",
   kwds = "sparse, graph"
}

@phdthesis{paze:73,
   author = "P. Pazelt",
   year = "1973",
   title = "{Ein Algoritmus zur L{\"o}sung von Ausgleichproblemen mit 
	Ungleichungen als Nebenbedingungen}",
   school = "University of W{\"u}rtzburg",
   address = "Germany",
   type = "Diplomarbeit",
   kwds = "constr, soft"
}

@article{penr:55,
   author = "R. Penrose",
   year = "1955",
   title = "A Generalized Inverse for Matrices",
   journal = "Proc. Cambridge Philos. Soc.",
   volume = "51",
   pages = "406--413",
   kwds = "ginv"
}

@article{penr:56,
   author = "R. Penrose",
   year = "1956",
   title = "On Best Approximate Solutions of Linear Matrix Equations",
   journal = "Proc. Cambridge Philos. Soc.",
   volume = "52",
   pages = "17--19",
   kwds = "ginv"
}

@article{pere:67,
   author = "V. Pereyra",
   year = "1967",
   title = "Iterative Methods for Solving Nonlinear Least
            Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "4",
   pages = "27--36",
   kwds = "nlsq, ginv"
}

@article{pewi:70,
   author = "G. Peters and J. H. Wilkinson",
   year = "1970",
   title = "The Least Squares Problem and Pseudo-Inverses",
   journal = "Comput. J.",
   volume = "13",
   pages = "309--316",
   kwds = "lud, ne, rank"
}


@article{pewi:79,
   author = "G. Peters and J. H. Wilkinson",
   year = "1979",
   title = "Inverse Iteration, Ill-conditioned Equations and {Newton's} Method",
   journal = "SIAM Review",
   volume = "3",
   pages = "339--360",
   kwds = "eig, illp"
}

@article{pile:97,
   author = "D. J. Pierce and J. G. Lewis",
   year = "1997",
   title = "Sparse Multifrontal Rank Revealing {QR} Factorization",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "18",
   pages = "159--181",
   kwds = "sparse, qrd"
}

pl-

@article{plac:72,
   author = "R. L. Placket",
   year ="1972",
   title =  "The Discovery of the Method of Least Squares",
   journal = "Biometrika",
   volume = "59",
   pages = "239--251",
   kwds = "hist"
}

@article{plem:72,
   author = "R. J. Plemmons",
   year = "1972",
   title = "Monotonicity and Iterative Approximations Involving 
	Rectangular Matrices",
   journal = "Math. Comp.",
   volume = "26",
   pages = "853--858",
   kwds = "iter"
}

@article{plem:74,
   author = "R. J. Plemmons",
   year = "1974",
   title = "Linear Least Squares by Elimination and {MGS}",
   journal = "J. Assoc. Comput. Mach.",
   volume = "21",
   pages = "581--585",
   kwds = "grsch, lud"
}

@inproceedings{plem:79,
   author = "R. J. Plemmons",
   year = "1979",
   title = "Adjustment by Least Squares in Geodesy using Block
		  Iterative Methods for Sparse Matrices",
   booktitle = "Proceedings of the 1979 Army Numerical Analysis and
		  Computer Conference",
   pages = "151--186",
   address = "El Paso, TX",
   kwds = "iter, geod"
}

@techreport{plem:92,
   author = "R. J. Plemmons",
   year = "1992",
   title = "A Proposal for {FFT} Based Fast Recursive Least Squares",
   institution = "Institute for Mathematics and Its Applications,
	University of Minnesota",
   address = "Minneapolis, MN",
   type = "{Tech. Report}",
   number = "\#982",
   kwds = "toep, rls"
}

po-

@article{pojv:94,
   author = "L. F. Portugal and J. J. J\'udice and L. N. Vicente",
   year = "1994",
   title = "A Comparison of Block Pivoting and Interior-Point
		  Algorithms for Linear Least Squares Problems with
		  Nonnegative Variables",
   journal = "Math. Comp.",
   volume = "63",
   pages = "625--643",
   kwds = "sparse, constr"
}

@phdthesis{poth:84,
   author = "A. Pothen",
   year = "1984",
   title = "Sparse Null Bases and Marriage Theorems",
   school = "Cornell University",
   address = "Ithaca, NY",
   type = "{Ph.D.} thesis",
   kwds = "sparse, graph"
}

@article{poth:89,
   author = "A. Pothen",
   year = "1989",
   title = "Sparse Null Bais Computations in Structural Optimization",
   journal = "Numer. Math.",
   volume = "55",
   pages = "501--519",
   kwds = "sparse, nullsp"
}

@article{poth:93,
   author = "A. Pothen",
   year = "1993",
   title = "Predicting the Structure of Sparse Orthogonal Factors",
   journal = "Linear Algebra Appl.",
   volume = "194",
   pages = "183--204",
   kwds = "sparse, house"
}

@article{pofa:90,
   author = "A. Pothen and C. -J. Fan",
   year = "1990",
   title = "Computing the Block Triangular Form of a Sparse Matrix",
   journal = "ACM Trans. Math. Software",
   volume = "16",
   pages = "303--324",
   kwds = "perm, sparse"
}

@article{pora:89,
   author = "A. Pothen and P. Raghavan",
   year = "1989",
   title = "Distributed Orthogonal Factorization: {Givens}
            and {Householder} Algorithms",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "10",
   pages = "1113--1134",
   kwds = "qrd, prll, house, rot"
}

@inproceedings{pore:69,
   author = "M. J. D. Powell and J. K. Reid",
   year = "1969",
   title = "On Applying {Householder's} Method to Linear Least Squares Problems",
   booktitle = "Proceedings of the IFIP Congress 68",
   editor = "A. J. M. Morell",
   pages = "122--126",
   publisher = "North-Holland, Amsterdam",
   address = "",
   kwds = "wlsq, house"
}

@article{prat:87,
   author = "V. Pratt",
   year = "1987",
   title = "Direct Least Squares Fitting of Algebraic Surfaces",
   journal = "ACM J. Comput. Graphics",
   volume = "21:4",
   pages = "",
   kwds = "nlsq, geom"
}

pu-

@phdthesis{pugl:93,
   author = "C. Puglisi",
   year = "1993",
   title = "{QR} Factorization of Large Sparse Overdetermined and Square
	Matrices with the Multifrontal Method in a Multiprocessing Environment",
   school = "Institut National Polytechnique de Toulouse",
   institution = "CERFACS",
   address = "Toulouse, France", 
   type = "{Ph.D.} thesis",
   kwds = "sparse, thesis"
}

qu-

@techreport{qusb:95,
   author = "G. Quintana-Ort{\'i} and X. Sun and C. H. Bischof",
   year = "1995",
   title = "A {BLAS}-3 Version of the {QR} Factorizations with Column Pivoting",
   institution = "Mathematics and Computer Science Division,
	University of Minnesota",
   address = "Argonne National Laboratory",
   type = "Preprint",
   number = "MCS-P551-1295",
   kwds = "rrqr"
}


ra- re-

@article{rawe:77,
   author = "H. Ramsin and P.-{\AA}. Wedin",
   year = "1977",
   title = "A Comparison of Some Algorithms for the Nonlinear 
	Least Squares Problem",
   journal = "BIT",
   volume = "17",
   pages = "72--90",
   kwds = "nlsq, test"
}

@article{rast:88,
   author = "C. M. Rader and A. O. Steinhardt",
   year = "1988",
   title = "Hyperbolic {Householder} transforms",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "9",
   pages = "269--290",
   kwds = "downd, hyp"
}

@book{rao:73,
   author = "R. C. Rao",
   year = "1973",
   title = "Linear Statistical Inference and Its Applications, {\rm 2nd ed.}",
   publisher = "John Wiley",
   address = "New York",
   kwds = "stat, survey"
}

%re-

@article{reic:91,
   author = "L. Reichel",
   year = "1991",
   title = "Fast {QR} Decomposition of {Vandermonde}-like Matrices and
            Polynomial Least Squares Approximation",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "12",
   pages = "552--564",
   kwds = "poly, vand"
}

@article{regr:90,
   author = "L. Reichel and W. B. Gragg",
   year = "1990",
   title = "{FORTRAN} subroutines for updating the {QR} decomposition",
   journal = "ACM Trans. Math. Software",
   volume = "16",
   pages = "369--377",
   kwds = "upd, downd, soft, qrd, grsch"
}

@article{reag:91,
   author = "L. Reichel and G. S. Ammar and W. B. Gragg",
   year = "1991",
   title = "Discrete Least Squares Approximation by Trigonometric Polynomials",
   journal = "Math. Comp.",
   volume = "57",
   pages = "273--289",
   kwds = "poly"
}

@article{reid:67,
   author = "J. K. Reid",
   year = "1967",
   title = "A Note on the Least Squares Solution of a Band System of
	Linear Equations by {Householder} Reductions",
   journal = "Comput J.",
   volume = "10",
   pages = "188--189",
   kwds = "band, house, qrd"
}

@inproceedings{reid:71,
   author = "J. K. Reid",
   year = "1971",
   title = "On the Method of Conjugate Gradients for the Solution of
		  Large Systems of Linear Equations",
   pages = "231--254",
   booktitle = "Large Sparse Sets of Linear Equations",
   editor = "J.~K. Reid",
   publisher = "Academic Press, New York",
   kwds = "sparse, iter, cg"
}

@article{reid:72,
   author = "J. K. Reid",
   year = "1972",
   title = "On the Use of Conjugate Gradients for Systems of Linear 
	Equations Possessing {``Property A''}",
   journal = "SIAM J. Numer. Anal.",
   volume = "9",
   pages = "325--332",
   kwds = "iter, cg"
}

@techreport{reid:84,
   author = "J. K. Reid ",
   year = "1984",
   title = "{TREESOLVE}, a {Fortran} Package for Solving Large Sets of
	Linear Finite Element Solutions",
   institution = "Computer Science and Systems Division, AERE Harwell",
   address = "Oxfordshire, UK",
   type = "{Tech. Report}",
   number = "CSS 155, 1984",
   kwds = "sparse, multfr"
}

@inproceedings{reid:87,
   author = "J. K. Reid ",
   year = "1987",
   title = "Sparse Matrices",
   booktitle = "The State of the Art in Numerical Analysis",
   editor = "A. Iserles and M. J. D. Powell",
   pages = "59--86",
   publisher = "Oxford University Press, London, UK",
   kwds = "sparse"
}

@techreport{reid:98,
   author = "J. K. Reid",
   year = "1998",
   title = "Implicit Scaling of Linear Least Squares Problems",
   institution = "Rutherford Appleton Laboratory",
   address = "Chilton, UK",
   type = "{Tech. Report}",
   number = "RAL-TR-98-027",
   kwds = "qrd, wlsq" 
}

@article{rein:71,
   author = "C. H. Reinsch",
   year = "1971",
   title = "Smoothing by Spline Functions",
   journal = "Numer. Math.",
   volume = "16",
   pages = "451--454.",
   kwds = "spline, regul"
}

%ri-

@article{rice:66,
   author = "J. R. Rice",
   year = "1966",
   title = "Experiments on {Gram-Schmidt} orthogonalization",
   journal = "Math. Comp.",
   volume = "20",
   pages = "325--328",
   kwds = "grsch, err"
}

@techreport{rice:83,
   author = "J. R. Rice",
   year = "1983",
   title = "{PARVEC} Workshop on Very Large Least Squares Problems 
	and Supercomputers",
   institution = "Purdue University",
   address = "West Lafayette, IN",
   type = "{Tech. Report}",
   number = "CSD-TR 464",
   kwds = "sparse, survey"
}

@article{riga:67,
   author = "J. L. Rigal and J. Gaches",
   year = "1967",
   title = "On the Compatability of a Given Solution with the Data of
		  a Linear System",
   journal = "J. Assoc. Comput. Mach.",
   volume = "14",
   pages = "543--548",
   kwds = "err"
}

@article{rijk:89,
   author = "P. P. M. de Rijk",
   year = "1989",
   title = "A One-sided {Jacobi} Algorithm for Computing the Singular Value 
     Decomposition on a Vector Computer",
   journal = " SIAM J. Sci. Stat. Comput.",
   volume = "10",
   pages = "359--371",
   kwds = "svd, prll"
}

@article{rile:56,
  author = "J. D. Riley",
  year = "1956",
  title =  "Solving Systems of Linear Equations with a Positive
		  Definite Symmetric but Possibly Ill-Conditioned Matrix",
  journal = "Math. Tables Aids. Comput.",
  volume = "9",
  pages = "96--101",
  kwds = "regul"
}

%ru-

@inproceedings{rose:72,
   author = "D. J. Rose",
   year = "1972",
   title = "A Graph-Theoretic Study of the Numerical Solution
	of Sparse Positive Definite Systems of Linear Equations",
   booktitle = "Graph Theory and Computing",
   editor = "R. C. Read",
   pages = "183--217",
   publisher = "Academic Press, New York",
   kwds = "sparse, graph"
}   

@article{ropg:96,
   author = "J. B. Rosen and H. Park and J. Glick",
   year = "1996",
   title = "Total Least Norm Formulation and Solution for Structured Problems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "17",
   pages = "110--126",
   kwds = "struct"
}

@article{ropg:98,
   author = "J. B. Rosen and H. Park and J. Glick",
   year = "1998",
   title = "Structured Total Least Norm for Nonlinear Problems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "20",
   pages = "14--30",
   kwds = "struct, nnls"
}

@article{ruhe:79,
   author = "A. Ruhe",
   year = "1979",
   title = "Accelerated {Gauss-Newton} Algorithms for Nonlinear Least 
	Squares Problems",
   journal = "BIT",
   volume = "19",
   pages = "356--367",
   kwds = "nlsq"
}

@article{ruhe:83,
   author = "A. Ruhe",
   year = "1983",
   title = "Numerical Aspects of {Gram-Schmidt} Orthogonalization of Vectors",
   journal = "Linear Algebra Appl.",
   volume = "52/53",
   pages = "591--601",
   kwds = "grsch, orth"
}

@article{ruwe:80,
   author = "A. Ruhe and P.-{\AA}. Wedin",
   year = "1980",
   title = "Algorithms for Separable Nonlinear Least Squares Problems",
   journal = "SIAM Review",
   volume = "22",
   pages = "318--337",
   kwds = "varpro, nlsq"
}

rut-

@article{ruti:54,
   author = "H. Rutishauser",  
   year = "1954",
   title = "Der {Quotienten-Differenzen-Algorithmus}",
   journal = "ZAMP",
   volume = "5",
   pages = "233--251",
   kwds = "svd"
}

@incollection{ruti:59,
   author = "H. Rutishauser",
   title =  "Theory of Gradient Methods",
   year = "1959",
   booktitle = "Refined Methods for Computation of the Solution and the Eigenvalues
		 of Self-Adjoint Boundary Value Problems",
   editor = "M. Engeli and Th. Ginsburg and H. Rutishauser and E. Stiefel",
   publisher = "Birkh{\"a}user",
   address = "Basel/Stuttgart",
   pages = "24--50",
   kwds = "nlsq, opt"
}

@book{ruti:67,
   author = "H. Rutishauser",  
   year = "1967",
   title = "Description of {Algol} {\rm 60}",
   series = "Handbook for Automatic Computation, Vol. 1a",
   publisher = "Springer-Verlag",
   address = "Berlin",
   kwds = "prog"
}

@article{ruti:68,
   author = "H. Rutishauser",  
   year = "1968",
   title = "Once Again: The Least Squares Problem",
   journal = "Linear Algebra Appl.",
   volume = "1",
   pages = "479--488",
   kwds = "regul"
}

@book{ruti:76,
   author = "H. Rutishauser",
   year = "1976",
   title = "{Vorlesungen {\"u}ber Numerische Mathematik}. Band {\rm 1}",
   publisher = "Birkh{\"a}user",
   address = "Basel",
   kwds = " survey"
}

sa-

@article{saad:80,
   author = "Y. Saad",
   year = "1980",
   title = "On the Rates of Convergence of the {Lanczos} and
		  Block-{Lanczos} Methods",
   journal = "SIAM J. Numer. Anal.",
   volume = "17",
   pages = "687--706",
   kwds = "iter, lanczos"
}

@article{saad:88,
   author = "Y. Saad",
   year = "1988",
   title = "Preconditioning Techniques for Nonsymmetric and Indefinite
		  Linear Systems",
   journal = "J. Comput. Appl. Math.",
   volume = "24",
   pages = "89--105",
   kwds = "precond"
}

@book{saad:92,
   author = "Y. Saad",
   year = "1992",
   title = "Numerical Methods for Large Eigenvalue Problems",
   publisher = "Manchester University Press",
   address = "Manchester, UK",
   kwds = "iter"
}

@article{sala:87,
   author = "D. E. Salane",
   year = "1987",
   title = "A Continuation Approach for Solving Large Residual Least 
	Squares Problems",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "655--671",
   kwds = "nlsq"
}

@techreport{saun:72,
   author = "M. A. Saunders",
   year = "1972",
   title = "Large-Scale Linear Programming Using The {Cholesky} Factorization",
   institution = "Computer Science Department, Stanford University",
   address = "CA",
   type = "{Tech. Report}",
   number = "CS252",
   kwds = "chol, upd, downd"
}

@inproceedings{saun:79,
   author = "M. A. Saunders",
   year = "1979",
   title = "Sparse Least Squares by Conjugate Gradients: {A} Comparison 
	of Preconditioning Methods",
   booktitle = "Proceedings of Computer Science and Statistics: 
	Twelfth Annual Conference on the Interface",
   editor = "",
   pages = "",
   publisher = "",
   address = "Waterloo, Canada",
   kwds = "iter, precond, cg"
}

@article{saun:95,
   author = "M. A. Saunders",
   year = "1995",
   title = "Solution of Sparse Rectangular Systems Using {LSQR} and {CRAIG}",
   journal = "BIT",
   volume = "35",
   pages = "588--604",
   kwds = "iter, cg, lanczos"
}

@article{saut:78,
   author = "W. Sautter",
   year = "1978",
   title = "{F}ehleranalyse f{\"u}r die {G}auss-{E}limination zur {B}erechnung
		der {L}{\"o}sung minimaler {L}{\"a}nge",
   journal = "Numer. Math.",
   volume = "30",
   pages = "165--184",
   kwds = "rank, ginv"
}

sc-

@article{scha:85,
   author = "R. Schaback",
   year = "1985",
   title = "Convergence Analysis of the General {Gauss-Newton} Algorithm",
   journal = "Numer. Math.",
   volume = "46",
   pages = "281--309",
   kwds = "nlsq"
}

@article{schi:83,
   author = "K. Schittkowski",
   year = "1983",
   title = "The Numerical Solution of Constrained Linear Least-squares Problems",
   journal = "IMA J. Numer. Anal.",
   volume = "3",
   pages = "11--36",
   kwds = "constr"
}

@incollection{schi:85,
   author = "K. Schittkowski",
   year = "1985",
   title = "Solving Constrained Nonlinear Least Squares Problems by a 
	General Purpose {SOP}-method",
   booktitle = "Trends in Mathematical Optimization",
   editor = "K.-H. Hoffmann and J. -B. Hiriart-Urruty and
		  C. Lemar\'echal and J. Zowe",
   series = "International Series of Numerical Mathematics",
   volume = "84",
   publisher = "Birkh{\"a}user-Verlag, Basel, Switzerland",
   pages = "49--83",
   kwds = "nlsq"
}

@article{scst:79,
   author = "K. Schittkowski and J. Stoer",
   year = "1979",
   title = "A Factorization Method for the Solution of Constrained
            Linear Least Squares Problems Allowing Subsequent
	    Data Changes",
   journal = "Numer. Math.",
   volume = "31",
   pages = "431--463",
   kwds = "qrd, constr, upd, grsch"
}

@techreport{sczi:85,
   author = "K. Schittkowski and P. Zimmermann",
   year = "1985",
   title = "A Factorization Method for Constrained Least Squares Problems with 
	Data Changes. {Part} {\rm 2}: Numerical Tests, Comparisons, and {ALGOL} Codes",
   institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
	Universit{\"a}t W{\"u}rzburg",
   address = "Germany",
   type = "{Tech. Report}",
   number = "Preprint No. 30",
   kwds = "qrd, constr, upd, soft, grsch"
}


@article{schm:07,
   author = "E. Schmidt",
   year = "1907",
   title = "{Zur Theorie der linearen und nichtlinearen Integralgleichungen. 
	I. Teil: Entwicklung willk\"urlicher Funktionen nach System
	vorgeschriebener}",
   journal = "Math. Ann.",
   volume = "63",
   pages = "433--476",
   kwds = "grsch"
}

@article{schm:08,
   author = "E. Schmidt",
   year = "1908",
   title = "{\"U}ber die {A}ufl{\"o}sung linearer {G}leichungen mit unendlich 
	vielen {U}nbekannten",
   journal = "Rend. Circ. Mat. Palermo. Ser. 1",
   volume = "25",
   pages = "53--77",
   kwds = "grsch"
}

@article{scta:86,
   author = "R. Schreiber and W.-P. Tang",
   year = "1986",
   title = "On Systolic Arrays for Updating the {Cholesky} Factorization",
   journal = "BIT",
   volume = "26",
   pages = "451--466",
   kwds = "chol,syst,upd,downd"
}

@article{scvl:89,
   author = "R. Schreiber and C. F. {Van Loan}",
   year = "1989",
   title = "A Storage Efficient {WY} Representation for Products of 
	{Householder} Transformations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "10",
   pages = "53--57",
   kwds = "block, prll, house"
}

@inproceedings{schw:92,
   author = "H. Schwetlick",
   year = "1992",
   title = "Nonlinear Parameter Estimating: Models, Criteria and Algorithms",
   pages = "164--193",
   booktitle = "Numerical Analysis 1991: Proceedings of the 14th 
	Dundee Conference, June 1991",
   editor = "D. F. Griffiths and G. A. Watson",
   publisher = "Longman Scientific and Technical, Harlow, UK",
   series = "Pitman Research Notes in Mathematics 260",
   kwds = "nlsq, robust, orthreg"
}

@article{scti:85,
   author = "H. Schwetlick and V. Tiller",
   year = "1985",
   title = "Numerical Methods for Estimating Parameters in Nonlinear Models 
	with Errors in the Variables",
   journal = "Technometrics",
   volume = "27",
   pages = "17--24",
   kwds = "nlsq, tls, orthreg"
}

@article{scti:89,
   author = "H. Schwetlick and V. Tiller",
   year = "1989",
   title = "Nonstandard Scaling Matrices for Trust Region
		  {G}auss-{N}ewton Methods",
   journal = "SIAM J. Sci Statist. Comput.",
   volume = "10",
   pages = "654--670",
   kwds = "nlsq, tls, orthreg"
}

		  @inproceedings{scol:72,
   author = "H. D. Scolnik",
   year = "1972",
   title = "On the Solution of Non-linear Least Squares Problems",
   booktitle = "Proceedings of the {IFIP} Congress 71",
   editor = "H. Freeman",
   pages = "1258--1265",
   publisher = "North-Holland, Amsterdam",
   kwds = "varpro, nlsq"
}

@book{sebe:77,
   author = "G. A. F. Seber",
   year = "1977",
   title = "Linear Regression Analysis",
   publisher = "John Wiley",
   address = "New York",
   kwds = "regr, stat, survey"
}

   
@article{seid:1874,
   author = "P. L. Seidel",
   year = "1874",
   title = "{\"U}ber ein {V}erfahren, die {G}leichungen, auf welche
   die {M}ethode der kleinsten {Q}uadrate f{\"u}hrt, sowie lineare 
   {G}leichungen {\"u}berhaupt, durch successive {A}nn{\"a}herung aufzul{\"o}sen",
   journal = "Abh. Bayer Akad. Wiss.",
   volume = "11:81",
   pages = "",
   kwds = "iter"
}

@article{sham:75,
   author = "L. F. Shampine",
   year = "1975",
   title = "Discrete Least Squares Polynomial Fits",
   journal = "Comm. ACM",
   volume = "18",
   pages = "179--180",
   kwds = "scale, lud"
}

@article{sher:78,
   author = "A. H. Sherman",
   year = "1978",
   title = "Algorithm {\rm 533}, {NSPIV}, a {FORTRAN} Subroutine for Sparse
		  {Gaussian} Elimination with Partial Pivoting",
   journal = "ACM Trans. Math. Software",
   volume = "4",
   pages = "391--398",
   kwds = "sparse, lud"
}

@article{sieg:65,
   author = "I. H. Siegel",
   year = "1965",
   title = "Deferment of Computation in the Method of Least Squares",
   journal = "Math. Comp.",
   volume = "19",
   pages = "329--331",
   kwds = "augms"
}

sk-

@article{skee:79,
   author = "R. D. Skeel",
   year = "1979",
   title = "Scaling for Numerical Stability in {Gaussian} Elimination",
   journal = "J. Assoc. Comput. Mach.",
   volume = "26",
   pages = "494--526",
   kwds = "scale, lud"
}

@article{skee:80,
   author = "R. D. Skeel",
   year = "1980",
   title = "Iterative Refinement Implies Numerical Stability for {Gaussian} 
	Elimination",
   journal = "Math. Comp.",
   volume = "35",
   pages = "817--832",
   kwds = "ir, lud"
}

sl-

@article{slui:69,
   author = "A. van der Sluis",
   year = "1969",
   title = "Condition Numbers and Equilibration of Matrices",
   journal = "Numer. Math.",
   volume = "14",
   pages = "14--23",
   kwds = "pert, cond, scale"
}

@article{slui:75,
   author = "A. van der Sluis",
   year = "1975",
   title = "Stability of the Solutions of Linear Least Squares
            Problems",
   journal = "Numer. Math.",
   volume = "23",
   pages = "241--254",
   kwds = "err, pert"
}

@article{slve:79,
   author = "A. van der Sluis and G. Veltkamp",
   year = "1979",
   title = "Restoring Rank and Consistency by Orthogonal Projection",
   journal = "Linear Algebra Appl.",
   volume = "28",
   pages = "257--278",
   kwds = "rank, orth"
}

@incollection{slvo:87,
   author = "A. van der Sluis and H. van der Vorst",
   year = "1987",
   title = "Numerical Solution of Large Sparse Linear Equations and
            Least Squares Problems",
   booktitle = "Seismic Tomography",
   editor = "G. Nolet",
   publisher = "Reidel, Dordrecht, the Netherlands",
   pages = "49--83",
   kwds = "rank, orth"
}

@article{slvo:90,
   author = "A. van der Sluis and H. van der Vorst",
   year = "1990",
   title = "{SIRT-} and {CG-}Type Methods for Iterative Solution of
		  Sparse Linear Least-Squares Problems",
   journal = "Linear Algebra Appl.",
   volume = "130",
   pages = "257--302",
   kwds = "iter, cg"
}

@article{sost:74,
   author = "T. S{\"o}derstr{\"o}m and G. W. Stewart",
   year = "1974",
   title = "On the Numerical Properties of an Iterative Method for 
Computing the Moore--Penrose Generalized Inverse",
   journal = "SIAM J. Numer. Anal.",
   volume = "11",
   pages = "61--74",
   kwds = "iter, ginv"
}

@phdthesis{sode:93,
   author = "I. S{\"o}derquist",
   year = "1993",
   title = "Computing Parameters in Nonlinear Least Squares Models",
   school = "University of Ume{\aa}",
   institution = "Department of Computer Science",
   address = "Sweden",
   type = "{Ph.D.} thesis",
   kwds = "nlsq, constr"
}

%st-

@article{spat:82,
   author = "H. Sp{\"a}th",
   year = "1982",
   title = "On Discrete Linear Orthogonal $L_p$ Approximation",
   journal = "Z. Angew. Math. Mech.",
   volume = "62",
   pages = "354--355",
   kwds = "nlsq, geom"
}

@article{spat:86,
   author = "H. Sp{\"a}th",
   year = "1986",
   title = "Orthogonal Least Squares Fitting with Linear Manifolds",
   journal = "Numer. Math.",
   volume = "48",
   pages = "441--445",
   kwds = "nlsq, geom"
}

@article{spat:90,
   author = "H. Sp{\"a}th",
   year = "1990",
   title = "Modified {Gram-Schmid}t for Solving Linear Least Squares Problems
	is Equivalent to {Gaussian} Elimination for the Normal Equations",
   journal = "Appl. Math.",
   volume = "20",
   pages = "587--589",
   kwds = "ne, grsch"
}

@book{spat:92,
   author = "H. Sp{\"a}th",
   year = "1992",
   title = "Mathematical Algorithms for Linear Regression",
   publisher = "Academic Press",
   address = "New York",
   kwds = "regr, stat, survey"
}

@article{stew:69,
   author = "G. W. Stewart",
   year = "1969",
   title = "On the Continuity of the Generalized Inverse",
   journal = "SIAM J. Appl. Math.",
   volume = "17",
   pages = "33--45",
   kwds = " pert, ginv"
}

@book{stew:73,
   author = "G. W. Stewart",
   year = "1973",
   title = "Introduction to Matrix Computations",
   publisher = "Academic Press",
   address = "New York",
   kwds = " survey"
}

@article{stew:76,
   author = "G. W. Stewart",
   year = "1976",
   title = "The Economical Storage of Plane Rotations",
   journal = "Numer. Math.",
   volume = "25",
   pages = "137--138.",
   kwds = "qrd, rot"
}

@article{stew:77,
   author = "G. W. Stewart",
   year = "1977",
   title = "Perturbation Bounds for the {QR} Factorization of a Matrix",
   journal = "SIAM J. Numer. Anal.",
   volume = "14",
   pages = "509--518",
   kwds = "err, qrd"
}

@inproceedings{stew:77a,
   author = "G. W. Stewart",
   year = "1977",
   title = "Research Development and {LINPACK}",
   booktitle = "Mathematical Software III",
   editor = "J. R. Rice",
   publisher = "Academic Press, New York",
   pages = "1-14",
   kwds = "soft, pert, survey"
}

@article{stew:77b,
   author = "G. W. Stewart",
   year = "1977",
   title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear
            Least Squares Problems",
   journal = "SIAM Review",
   volume = "19",
   pages = "634-662",
   kwds = " pert, ginv, orth"
}

@article{stew:79,
   author = "G. W. Stewart",
   year = "1979",
   title = "The Effects of Rounding Error on an Algorithm for Downdating a
            {Cholesky} Factorization",
   journal = "J. Inst. Maths. Applic.",
   volume = "23",
   pages = "203-213",
   kwds = " err, downd, chol"
}

@article{stew:79a,
   author = "G. W. Stewart",
   year = "1979",
   title = "A Note on the Perturbation of Singular Values",
   journal = "Linear Algebra Appl.",
   volume = "28",
   pages = "213--216",
   kwds = "svd, pert"
}

@article{stew:80,
   author = "G. W. Stewart",
   year = "1980",
   title = "The Efficient Generation of Random Orthogonal Matrices
            with an Application to Condition Estimators",
   journal = "SIAM J. Numer. Anal.",
   volume = "17",
   pages = "403--404",
   kwds = " rand, qrd, cond, orth"
}

@article{stew:81,
   author = "G. W. Stewart",
   year = "1981",
   title = "On the Implicit Deflation of Nearly Singular Systems of Linear 
		Equations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "2",
   pages = "136--140",
   kwds = "rank,ginv"
}

@article{stew:82,
   author = "G. W. Stewart",
   year = "1982",
   title = "Computing the {CS} Decomposition of a
            Partitioned Orthogonal Matrix",
   journal = "Numer. Math.",
   volume = "40",
   pages = "297-306",
   kwds = "svd, csd, orth"
}

@inproceedings{stew:83,
   author = "G. W. Stewart",
   year = "1983",
   title = "A Method for Computing the Generalized Singular Value 
	Decomposition",
   pages = "207--220",
   booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
   editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
   publisher = "Springer-Verlag, Berlin",
   series = "Lecture Notes in Mathematics",
   volume = "973",
   kwds = "gsvd"
}

@techreport{stew:83a,
   author = "G. W. Stewart",
   year = "1983",
   title = "A Generalization of the {Eckart-Young} Approximation Theorem",
   institution = "Department of Computer Science,
                  University of Maryland",
   address = "College Park, MD",
   number = "TR-1325",
   kwds = "pert, max, tls"
}

@techreport{stew:83b,
   author = "G. W. Stewart",
   year = "1983",
   title = "A Nonlinear Version of {Gauss's} Minimum Variance Theorem 
	with Applications to an Errors-in-the-Variables Model",
   institution = "Department of Computer Science, University of Maryland",
   address = "College Park, MD",
   type = "{Tech. Report}",
   number = "TR-1263",
   kwds = "tls, regr, nlsq, pert"
}

@article{stew:84,
   author = "G. W. Stewart",
   year = "1984",
   title = "Rank Degeneracy",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "5",
   pages = "403--413",
   kwds = "rank, rrqr"
}

@article{stew:84a,
   author = "G. W. Stewart",
   year = "1984",
   title = "On the Invariance of Perturbed Null Vectors under Column Scaling",
   journal = "Numer. Math.",
   volume = "44",
   pages = "61--65",
   kwds = "scale, pert"
}

@article{stew:84b,
   author = "G. W. Stewart",
   year = "1984",
   title = "On the Asymptotic Behavior of Scaled Singular and {QR} Decompositions",
   journal = "Math. Comp.",
   volume = "43(168)",
   pages = "168--489",
   kwds = "rank, rrqr"
}

@article{stew:87,
   author = "G. W. Stewart",
   year = "1987",
   title = "Collinearity and Least Squares Regression",
   journal = "Statistical Science",
   volume = "2",
   pages = "68-100",
   kwds = "stat, regr, tls, rank"
}

@article{stew:90,
   author = "G. W. Stewart",
   year = "1990",
   title = "On Scaled Projections and Pseudoinverses",
   journal = "Linear Algebra Appl.",
   volume = "132",
   pages = "115--117",
   kwds = "wlsq"
}

@inproceedings{stew:90a,
   author = "G. W. Stewart",
   year = "1990",
   title = "Perturbation Theory and Least Squares with Errors in
            the Variables",
   booktitle = "Contemporary Mathematics 112: Statistical
                Analysis of Measurement Error Models and
		Applications",
   editor = "P. J. Brown and W. A. Fuller",
   pages = "171--181",
   publisher = "American Mathematical Society, Providence, RI",
   kwds = "stat, pert, regr"
}

@techreport{stew:91,
   author = "G. W. Stewart",
   year = "1991",
   title = "On an Algorithm for Refining a Rank-Revealing {URV} 
   Factorization and a Perturbation Theorem for Singular Values",
   institution = "Department of Computer Science, University of Maryland",
   address = "College Park, MD",
   type = "{Tech. Report}",
   number = "UMIACS-TR-91-38, CS-TR-2626",
   kwds = "rrqr, pert, svd"
}

@article{stew:92,
   author = "G. W. Stewart",
   year = "1992",
   title = "An Updating Algorithm for Subspace Tracking",
   journal = "IEEE Trans. Signal Process.",
   volume = "40",
   pages = "1535--1541",
   kwds = "upd, rrqr"
}

@article{stew:93a,
   author = "G. W. Stewart",
   year = "1993",
   title = "Updating a Rank-Revealing {ULV} Decomposition",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "14",
   pages = "494--499",
   kwds = "upd, rrqr"
}

@article{stew:93b,
   author = "G. W. Stewart",
   year = "1993",
   title = "On the Perturbation of {LU}, {Cholesky}, and {QR} Factorizations",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "14",
   pages = "1141--1145",
   kwds = "pert, qrd, chol"
}

@article{stew:93c,
   author = "G. W. Stewart",
   year = "1993",
   title = "On the Early History of the Singular Value Decomposition",
   journal = "SIAM Review",
   volume = "35",
   pages = "551--566",
   kwds = "svd, hist"
}

@article{stew:95,
   author = "G. W. Stewart",
   year = "1995",
   title = "On the Stability of Sequential Updates and Downdates",
   journal = "IEEE Trans. Signal Process.",
   volume = "43",
   pages = "1643--1648",
   kwds = "downd, stab"
}

@article{stew:97,
   author = "G. W. Stewart",
   year = "1997",
   title = "On the Weighting Method for Least squares Problems with Linear
     Equality Constraints",
   journal = "BIT.",
   volume = "37:4",
   pages = "961--967",
   kwds = "wlsq, constr"
}

@book{stsu:90,
   author = "G. W. Stewart and J.{-G}. Sun",
   year = "1990",
   title = "Matrix Perturbation Theory",
   publisher = "Academic Press",
   address = "Boston",
   kwds = "pert, survey"
}

@article{stst:98,
   author = "M. Stewart and G. W. Stewart",
   year = "1998",
   title = "On Hyperbolic Triangularization: Stability and Pivoting",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "19:4",
   pages = "8471--860",
   kwds = "hyp, downd"
}

@article{stie:52,
   author = "E. Stiefel",
   year = "1952/53",
   title = "{Ausgleichung ohne Aufstellung der Gausschen Normalgleichungen}",
   journal = "Wiss. Z. Tech. Hochsch. Dresden",
   volume = "2",
   pages = "441--442",
   kwds = "cg, iter"
}

@article{stie:77,
   author = "S. M. Stigler",
   year = "1977",
   title = "An Attack on {Gauss}, Published by {Legendre} in {\rm 1820}",
   journal = "Hist. Math.",
   volume = "4",
   pages = "31--35",
   kwds = "hist"
}

@article{stie:81,
   author = "S. M. Stigler",
   year = "1981",
   title = "{Gauss} and the Invention of Least Squares",
   journal = "Ann. Statist.",
   volume = "9",
   pages = "465--474",
   kwds = "hist"
}

@article{stie:1887,
   author = "T. J. Stieltjes",
   year = "1887",
   title = "Sur les racines de l'{\'e}quation $x_n=0$",
   journal = "Acta. Math.",
   volume = "9",
   pages = "385--400",
   kwds = "iter"
}

@article{stoe:71,
   author = "J. Stoer",
   year = "1971",
   title = "On the Numerical Solution of Constrained Least Squares Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "8",
   pages = "382--411",
   kwds = "constr, upd"
}

@article{stra:91,
   author = "Z. Strako{\v{s}}",
   year = "1991",
   title = "On the Real Convergence of the Conjugate Gradient Method",
   journal = "Linear Algebra Appl.",
   volume = "154/156",
   pages = "535--549",
   kwds = "cg, lanczos, iter"
}

@article{stra:74,
  author = "C. N. Strand",
  year = "1974",
  title = "Theory and Methods Related to the Singular Function
		  Expansion and {Landweber's} Iteration for Integral
		  Equations of the First Kind",
  journal = "SIAM J. Numer. Anal.",
  volume = "11",
  pages = "798--825",
  kwds = "iter, regul"
}

%su-

@techreport{sunc:95,
   author = "C. Sun",
   year = "1995",
   title = "Dealing with Dense Rows in the Solution of Sparse Linear Least 
Squares Problems",
   institution = "Cornell Theory Center, Cornell University",
   address = "Ithaca, NY",
   type = "{Tech. Report}",
   number = "",
   kwds = "sparse, qrd"
}

@article{sunc:96,
   author = "C. Sun",
   year = "1996",
   title = "Parallel Sparse Orthogonal Factorization on
		  Distributed-Memory Multiprocessors",
   journal = "SIAM J. Sci. Comput.",
   volume = "17",
   pages = "666--685",
   kwds = "sparse, qrd, prll"
}

@article{sun:91,
   author = "J.-G. Sun",
   year = "1991",
   title = "Perturbation Bounds for the {Cholesky} and {QR} Factorizations",
   journal = "BIT",
   volume = "31",
   pages = "341--352",
   kwds = "pert, chol, qrd"
}

@article{sun:95,
   author = "J.-G. Sun",
   year = "1995",
   title = "On Perturbation Bounds for the {QR} Factorization",
   journal = "Linear Algebra Appl.",
   volume = "215",
   pages = "95--111",
   kwds = "pert, qrd"
}

@article{sun:95a,
   author = "J.-G. Sun",
   year = "1995",
   title = "Perturbation Analysis of the {Cholesky} Downdating and
		  {QR} Updating Problems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "16",
   pages = "760--775",
   kwds = "err, pert, upd",
}

@article{sun:96,
   author = "J.-G. Sun",
   year = "1996",
   title = "Optimal Backward Perturbation Bounds for the Linear Least-Squares
		  Problem With Multiple Right-Hand Sides",
   journal = "IMA J. Numer. Anal.",
   volume = "16",
   pages = "1--11",
   kwds = "err, pert",
}

@article{susu:97,
   author = "J.-G. Sun and Zheng Sun",
   year = "1997",
   title = "Optimal Backward Perturbation Bounds for Underdetermined Systems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "18",
   pages = "393--402",
   kwds = "err, pert",
}

%sw-

@article{swee:84,
   author = "D. R. Sweet",
   year = "1984",
   title = "Fast {Toeplitz} Orthogonalization",
   journal = "Numer. Math.",
   volume = "43",
   pages = "1--21",
   kwds = "qrd, toep"
}


@article{swee:91,
   author = "D. R. Sweet",
   year = "1991",
   title = "Fast Block {Toeplitz} Orthogonalization",
   journal = "Numer. Math.",
   volume = "58",
   pages = "613--629",
   kwds = "qrd, toep"
}

%ta-

@article{tana:71,
   author = "K. Tanabe",
   year = "1971",
   title = "Projection Method for Solving a Singular System of
	Linear Equations and its Applications",
   journal = "Numer. Math.",
   volume = "17",
   pages = "203--214",
   kwds = "iter, ginv"
}

@article{tang:94,
   author = "P. T. P. Tang",
   year = "1994",
   title = "Dynamic Condition Estimation and {Rayleigh-Ritz} Approximation",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "331--346",
   kwds = "cond"
}

@article{tago:81,
   author = "W.-P. Tang and G. H. Golub",
   year = "1987",
   title = "The Block Decomposition of a {Vandermonde} Matrix and Its Applications",
   journal = "BIT",
   volume = "21",
   pages = "505--517",
   kwds = "block, vand"
}

@article{tarj:72,
   author = "R. E. Tarjan",
   year = "1972",
   title = "Depth-first Search and Linear Graph Algorithms",
   journal = "SIAM J. Comput.",
   volume = "1",
   pages = "146--159",
   kwds = "sparse, graph"
}

@article{tewa:68,
   author = "R. P. Tewarson",
   year = "1968",
   title = "A Computational Method for Evaluating Generalized Inverses",
   journal = "Comput. J.",
   volume = "10",
   pages = "411--413",
   kwds = "ginv"
}

@article{tewa:68b,
   author = "R. P. Tewarson",
   year = "1968",
   title = "On the Orthonormalization of Sparse vectors",
   journal = "Computing",
   volume = "3",
   pages = "268--279",
   kwds = "sparse, qrd"
}

@article{tiho:63,
   author = "A. N. Tikhonov",
   year = "1963",
   title = "Regularization of Incorrectly Posed Problems",
   journal = "Soviet Math.",
   volume = "4",
   pages = "1624--1627",
   kwds = "regul, survey"
}

@article{tiwa:67,
   author = "W. F. Tinney and J. W. Walker",
   year = "1967",
   title = "Direct Solution of Sparse Network Equations by Optimally
		  Ordered Triangular Factorization",
   journal = "Proc. IEEE",
   volume = "55",
   pages = "1801--1809",
   kwds = "sparse"
}
 @article{vest:91,
   author = "N. Vempati and I. W. Slutsker and W. F. Tinney",
   year = "1991",
   title = "Enhancements to {Givens} Rotations for Power System State Estimation",
   journal = "IEEE Trans. Power Systems",
   volume = "6",
   pages = "842--849",
   kwds = "sparse"
}

@article{tsao:75,
   author = "N.-K. Tsao",
   year = "1975",
   title = "A Note on Implementing the {Householder} Transformation",
   journal = "SIAM J. Numer. Anal.",
   volume = "12",
   pages = "53--58",
   kwds = "house"
}

@article{toin:87,
   author = "P. L. Toint",
   year = "1987",
   title = "On Large Scale Nonlinear Least Squares Calculations",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "8",
   pages = "416--435",
   kwds = "sparse, nlsq"
}

@techreport{toin:87a,
   author = "P. L. Toint",
   year = "1987",
   title = "{VE{\rm 10}AD} A routine for Large-Scale Nonlinear Least Squares",
   type = "{Harwell} Subroutine Library",
   institution = "AERE Harwell",
   address = "Oxfordshire, UK",
   kwds = "sparse, nlsq, soft"
}

@techreport{vhjs:76,
   author = "J. {Van Heijst} and J. Jacobs and J. Scherders",
   year = "1976",
   title = "Kleinste-{Kvadraten} {Problemen}.",
   institution = "Department of Mathematics, Eindhoven University of Technology",
   address = "Eindhoven, the Netherlands",
   type = "{Tech. Report}",
   kwds = "iter, svd"
}


@phdthesis{vhuf:87,
   author = "S. {Van Huffel}",
   year = "1987",
   title = "Analysis of the Total Least Squares Problem
            and Its Use in Parameter Estimation",
   school = "Katholieke Universiteit Leuven, Belgium",
   institution = "ESAT Lab., Department of Electr. Eng.",
   type = "{Ph.D.} thesis",
   kwds = "tls, regr, thesis"
}

@article{vhuf:91,
   author = "S. {Van Huffel}",
   year = "1991",
   title = "Iterative Algorithms for Computing the Singular Subspace
		  of a Matrix Associated with its Smallest Singular Values",
   journal = "Linear Algebra Appl.",
   volume = "154/156",
   pages = "675--709",
   kwds = "tls, iter"
}

@article{vhpa:95,
   author = "S. {Van Huffel} and H. Park",
   year = "1995",
   title = "Efficient Reduction Algorithms for Bordered Band Matrices",
   journal = "Numer. Linear Algebra Appl.",
   volume = "2",
   pages = "95--113",
   kwds = "upd, svd"
}

@article{vhva:87,
   author = "S. {Van Huffel} and J. Vandewalle",
   year = "1987",
   title = "Algebraic Relationships Between Classical Regression and Total 
	Least-squares Estimation",
   journal = "Linear Algebra Appl.",
   volume = "93",
   pages = "149--162",
   kwds = "tls" 
}

@article{vhva:88a,
   author = "S. {Van Huffel} and J. Vandewalle",
   year = "1988",
   title = "Analysis and Solution of the Nongeneric Total Least Squares Problem",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "9",
   pages = "360--372",
   kwds = "tls" 
}

@article{vhva:89,
   author = "S. {Van Huffel} and J. Vandewalle",
   year = "1989",
   title = "Analysis and Properties of the Generalized Total Least Squares 
	Problem {$AX \approx B$} when Some or all Columns in {$A$} are Subject 
	to Error",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "10",
   pages = "294--315",
   kwds = "tls" 
}

@book{vhva:91,
   author = "S. {Van Huffel} and J. Vandewalle",
   year = "1991",
   title = "The Total Least Squares Problem: Computational Aspects and Analysis",
   publisher = "SIAM",
   series = "Frontiers in Applied Mathematics",
   volume = "9",
   address = "Philadelphia",
   kwds = "tls, survey" 
}

@article{vhvh:87,
   author = "S. {Van Huffel} and J. Vandewalle and A. Haegemans",
   year = "1987",
   title = "An Efficient and Reliable Algorithm for Computing the Singular 
	Subspace of a Matrix, Associated with its Smallest Singular Values",
   journal = "J. Comp. Appl. Math.",
   volume = "19",
   pages = "313--330",
   kwds = "tls, svd"
 }


@article{vhzh:91,
   author = "S. {Van Huffel} and H. Zha",
   year = "1991",
   title = "The Restricted Total Least Squares Problem: Formulation,
		  Algorithm, and Properties",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "12",
   pages = "292--309",
   kwds = "tls, svd"
}

@article{vhzh:93,
   author = "S. {Van Huffel} and H. Zha",
   year = "1993",
   title = "An Efficient Total Least Squares Algorithm Based on a Rank
		  Revealing Two-sided Orthogonal Decomposition",
   journal = "Numer. Algorithms",
   volume = "4",
   pages = "101--133",
   kwds = "tls, svd"
}

@article{vanl:76,
   author = "C. F. {Van Loan}",
   year = "1976",
   title = "Generalizing the Singular Value Decomposition",
   journal = "SIAM J. Numer. Anal.",
   volume = "13",
   pages = "76--83",
   kwds = "gsvd"
}

@inproceedings{vanl:83,
   author = "C. F. {Van Loan}",
   year = "1983",
   title = "A Generalized {SVD} Analysis of Some Weighting Methods for 
	Equality Constrained Least Squares",
   pages = "245--262",
   booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
   editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
   publisher = "Springer-Verlag, Berlin",
   series = "Lecture Notes in Mathematics",
   volume = "973",
   kwds = "constr, wlsq"
}

@article{vanl:85,
   author = "C. F. {Van Loan}",
   year = "1985",
   title = "Computing the {CS} and the Generalized Singular Value Decomposition",
   journal = "Numer. Math.",
   volume = "46",
   pages = "479--492",
   kwds = "csd, gsvd"
}

@article{vanl:85a,
   author = "C. F. {Van Loan}",
   year = "1985", 
   title = "On the Method of Weighting for Equality Constrained Least Squares",
   journal = "SIAM J. Numer. Anal.",
   volume = "22",
   pages = "851--864",
   kwds = "constr, wlsq"
}

@book{vanl:92,
   author = "C. F. {Van Loan}",
   year = "1992",
   title = "Computational Frameworks for the {Fourier} Transform",
   publisher = "SIAM",
   series = "Frontiers in Applied Mathematics",
   volume = "10",
   address = "Philadelphia",
   kwds = "fft, survey" 
}

@article{vara:73,
   author = "J. M. Varah",
   year = "1973",
   title = "On the Numerical Solution of Ill-conditioned Linear Systems with 
	Applications to Ill-posed Problems",
   journal = "SIAM J. Numer. Anal.",
   volume = "10",
   pages = "257--267",
   kwds = "illp, regul"
}

@article{vara:75,
   author = "J. M. Varah",
   year = "1975",
   title = "A Lower Bound for the Smallest Singular Value of a Matrix",
   journal = "Linear Algebra Appl.",
   volume = "11",
   pages = "1--2",
   kwds = "cond, svd" 
}

@article{vara:79,
   author = "J. M. Varah",
   year = "1979",
   title = "A Practical Examination of some Numerical Methods for Linear
	Discrete Ill-posed Problems",
   journal = "SIAM Review",
   volume = "21",
   pages = "100--111",
   kwds = "illp, regul" 
}

@article{vara:94,
   author = "J. M. Varah",
   year = "1994",
   title = "Backward Error Estimates for {Toeplitz} Systems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "408--417",
   kwds = "err, toep" 
}

@article{vara:96,
   author = "J. M. Varah",
   year = "1996",
   title = "Least Squares Data Fitting with Implicit Functions",
   journal = "BIT",
   volume = "36:4",
   pages = "842--854",
   kwds = "geom, nlsq"
}

@book{varg:62,
   author = "R. S. Varga",
   year = "1962",
   title = "Matrix Iterative Analysis",
   publisher = "Prentice-Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "iter, survey" 
}

@article{vava:94,
   author = "S. A. Vavasis",
   year = "1994",
   title = "Stable Numerical Algorithms for Equilibrium Systems",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "15",
   pages = "1108--1131",
   kwds = "wlsq"
}

@phdthesis{matt:93,
   author = "U. von Matt",
   year = "1993",
   title = "Large Constrained Quadratic Problems",
   school = "Institute for Scientific Computing, ETH",
   address = "Z{\"u}rich, Switzerland",
   type = "{Ph.D.} thesis",
   kwds = "constr, nlsq"
}

@inproceedings{matt:95,
   author = "U. von Matt",
   year = "1995",
   title = "The Orthogonal {QD}-Algorithm",
   booktitle = "{SVD} and Signal Processing, III: Algorithms,
		  Architectures and Applications",
   editor = "M. Moonen and B. {De Moor}",
   pages = "99--106",
   publisher = "Elsevier, Amsterdam",
   kwds = "svd,signal"
}


@phdthesis{wald:94,
   author = "B. Wald\'en",
   year = "1994",
   title = "Least Squares Methods and Application in Robotics",
   school = "Department of Mathematics, Link{\"o}ping University",
   address = "Sweden",
   type = "{Ph.D.} thesis",
   kwds = "regul, nlsq"
}

@article{waks:95,
   author = "B. Wald\'en and R. Karlsson and J.-G. Sun",
   year = "1995",
   title = "Optimal Backward Perturbation Bounds for the Linear Least
	Squares Problem",
   journal = "Numer. Linear Algebra Appl.",
   volume = "2",
   pages = "271--286",
   kwds = "err, pert"
}

@article{wamp:69,
   author = "R. H. Wampler",
   year = "1969",
   title = "An Evaluation of Linear Least Squares Computer Programs",
   journal = "J. Res. Nat. Bur. Standards",
   volume = "73B",
   pages = "59--90",
   kwds = "stat, regr, err, grsch, test" 
}

@article{wamp:70,
   author = "R. H. Wampler",
   year = "1970",
   title = "A Report on the Accuracy of some Widely Used Least Squares
	Computer Programs",
   journal = "J. Amer. Statist. Assoc.",
   volume = "65",
   pages = "549--565",
   kwds = "err, test, grsch" 
}

@inproceedings{wamp:72,
   author = "R. H. Wampler",
   year = "1972",
   title = "Some Recent Developments in Linear Least Squares Computations",
   booktitle = "Proceedings of the Computer Science and Statistics:
	Sixth Annual Symposium on the Interface",
   editor = "M.E. Tarter",
   publisher = "Academic Press, New York",
   pages = "94--110",
   kwds = "grsch, stat" 
}

@article{wamp:79,
   author = "R. H. Wampler",
   year = "1979",
   title = "Solutions to Weighted Least Squares Problems by
            Modified {Gram--Schmidt} with Iterative Refinement",
   journal = "ACM Trans. Math. Software",
   volume = "5",
   pages = "457--465",
   kwds = "qrd, grsch, ir, wlsq" 
}

@article{wamp:79a,
   author = "R. H. Wampler",
   year = "1979",
   title = "{L{\rm 2}A} and {L{\rm 2}B}, Weighted Least Squares Solutions by
            Modified {Gram--Schmidt} with Iterative Refinement",
   journal = "ACM Trans. Math. Software",
   volume = "5",
   pages = "494--99",
   kwds = "qrd, grsch, ir, wlsq, soft, wlsq"
}

@article{wamp:80,
   author = "R. H. Wampler",
   year = "1980",
   title = "Test Procedures and Test Problems for Least Squares Algorithms",
   journal = "J. Econom.",
   volume = "12",
   pages = "3--22",
   kwds = "test"
}

@phdthesis{wang:93,
   author = "X. Wang",
   year = "1993",
   title = "Incomplete Factorization Preconditioning for Least Squares Problems",
   school = "Department of Mathematics, University of Illinois at Urbana-Champaign",
   address = "Urbana, IL",
   type = "{Ph.D.} thesis",
   kwds = "iter, precond"
}

@article{wagb:97,
   author = "X. Wang and K. A. Gallivan and R. Bramley",
   year = "1997",
   title = "{CIMGS}: An Incomplete Orthogonal Factorization Preconditionier",
   journal = "SIAM J. Sci. Comput.",
   volume = "18",
   pages = "516--536",
   kwds = "iter, precond"
}

@inproceedings{wats:84,
   author = "G. A. Watson",
   year = "1984",
   title = "The Numerical Solution of Total $\ell_p$ Approximation
	Problems",
   booktitle = " Numerical Analysis. Proceedings of the 10th Biennial
		  Conference Dundee, Scotland 1983",
   editor ="D.F. Griffiths",
   publisher = "Springer-Verlag, Berlin",
   series = " Lecture Notes in Mathematics",
   volume = "630",
   pages = "72--105",
   kwds = "rob"     
}

@techreport{wedi:72a,
   author = "P.-{\AA}. Wedin",
   year = "1972",
   title = "The Non-Linear Least Squares Problem from a Numerical
            Point of View. {I} {Geometrical} Properties",
   institution = "Department of Computer Sciences, Lund University",
   address = "Lund, Sweden",
   type = "{Tech. Report}",
   number = "",
   kwds = "nlsq, pert"
}

@article{wedi:72,
   author = "P.-{\AA}. Wedin",
   year = "1972",
   title = "Perturbation Bounds in Connection with the Singular Value 
	Decomposition",
   journal = "BIT",
   volume = "12",
   pages = "99--111",
   kwds = "svd, pert, rank"
}

@article{wedi:73a,
   author = "P.-{\AA}. Wedin",
   year = "1973",
   title = "On the Almost Rank Deficient Case of the Least
            Squares Problem",
   journal = "BIT",
   volume = "13",
   pages = "344--354",
   kwds = "pert, rank, svd"
}

@article{wedi:73b,
   author = "P.-{\AA}. Wedin",
   year = "1973",
   title = "Perturbation Theory for Pseudo-Inverses",
   journal = "BIT",
   volume = "13",
   pages = "217--232",
   kwds = "pert, rank, ginv"
}

@techreport{wedi:74,
   author = "P.-{\AA}. Wedin",
   year = "1974",
   title = "On the {Gauss-Newton} Method for the Nonlinear Least Squares Problems",
   institution = "Institute for Applied Mathematics",
   address = "Stockholm, Sweden",
   type = "Working Paper",
   number = "24",
   kwds = "nlsq"
}

@techreport{wedi:78,
   author = "P.-{\AA}. Wedin",
   year = "1978",
   title = "Perturbations of the Pseudo-Inverse and the Linear Least
            Squares Problem Analysed with Suitable Matrix Decompositions",
   institution = "Institute of Information Processing, University of Ume\aa",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--69.78",
   kwds = "pert, ginv"
}

@techreport{wedi:79,
   author = "P.-{\AA}. Wedin",
   year = "1979",
   title = "Notes on the Constrained Linear Least Squares Problem.  {A} New
            Approach Based on Generalized Inverses",
   institution = "Institute of Information Processing, University of Ume\aa",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--75.79",
   kwds = "constr, ginv"
}

@techreport{wedi:85,
   author = "P.-{\AA}. Wedin",
   year = "1985",
   title = "Perturbation Theory and Condition Numbers for Generalized
            and Constrained Linear Least Squares Problems",
   institution = "Institute of Information Processing, University of Ume\aa",
   address = "Sweden",
   type = "{Tech. Report}",
   number = "UMINF--125.85",
   kwds = "pert, ginv, constr, cond, wlsq"
}

@article{wei:90,
   author = "M. Wei",
   year = "1990",
   title = "Perturbation of the Least Squares Problem",
   journal = "Linear Algebra Appl.",
   volume = "141",
   pages = "177--182",
   kwds = "pert"
}

@article{wei:92,
   author = "M. Wei",
   year = "1992",
   title = "The Analysis for the Total Least Squares Problems with
		  More than One Solution",
   journal = "SIAM J. Matrix. Anal. Appl.",
   volume = "13",
   pages = "746--763",
   kwds = "tls, pert"
}

@article{wei:92a,
   author = "M. Wei",
   year = "1992",
   title = "Algebraic Relations Between the Total Least Squares and 
	Least Squares Problems with More than One Solution",
   journal = "Numer. Math.",
   volume = "62",
   pages = "123--148",
   kwds = "tls, pert"
}

@article{wei:92b,
   author = "M. Wei",
   year = "1992",
   title = "Algebraic Properties of the Rank-Deficient Equality
		  Constrained and Weighted Least Squares Problem",
   journal = "Linear Algebra Appl.",
   volume = "161",
   pages = "27--43",
   kwds = "constr, pert"
}

 @article{wei:92c,
   author = "M. Wei",
   year = "1992",
   title = "Perturbation Theory for the Rank-Deficient Equality
		  Constrained and Weighted Least Squares Problem",
   journal = "SIAM J. Numer. Anal.",
   volume = "29",
   pages = "1462--1481",
   kwds = "constr, pert"
}

@article{weke:71,
   author = "P. R. Weil and P. C. Kettler",
   year = "1971",
   title = "Rearranging Matrices to Block-angular Form for Decomposition 
	(and other) Algorithms",
   journal = "Management Sci.",
   volume = "18",
   pages = "98--108",
   kwds = "sparse, perm"
}

%wi-

@book{wilk:63,
   author = "J. H. Wilkinson",
   year = "1963",
   title = "Rounding Errors in Algebraic Processes",
   publisher = "Prentice-Hall",
   address = "Englewood Cliffs, NJ",
   kwds = "err, lud, survey"
}

@book{wilk:65,
   author = "J. H. Wilkinson",
   year = "1965",
   title = "The Algebraic Eigenvalue Problem",
   publisher = "Clarendon Press",
   address = "Oxford, UK",
   kwds = " eig, err, survey"
}

@incollection{wilk:65a,
   author = "J. H. Wilkinson",
   year = "1965",
   title = "Error Analysis of Transformations Based on the Use of Matrices 
            of the Form {$I-2xx^{\rm H}$}",
   booktitle = "Error in Digital Computation",
   editor = "L. B. Rall",
   publisher = "John Wiley, New York",
   pages = "77--101",
   kwds = "err, house"
}

@inproceedings{wilk:68,
   author = "J. H. Wilkinson",
   year = "1968",
   title = "A Priori Error Analysis of Algebraic Processes",
   booktitle = "Proceedings International Congress Math.",
   publisher = "Izdat. Mir, Moscow",
   pages = "629--639.",
   kwds = "chol, err"
}

@article{wilk:71,
   author = "J. H. Wilkinson",
   year = "1971",
   title = "Modern Error Analysis",
   journal = "SIAM Review",
   volume = "13",
   pages = "548--568",
   kwds = "error, hist, survey"
}

@techreport{wilk:77a,
   author = "J. H. Wilkinson",
   year = "1977",
   title = "The Use of Single Precision-Residuals in the Solution of
	Linear Systems",
   institution = "National Physical Laboratory",
   address = "Teddington, UK",
   type = "unpublished report",
   kwds = "ir, err"
}

@inproceedings{wilk:77,
   author = "J. H. Wilkinson",
   year = "1977",
   title = "Some recent advances in numerical linear algebra",
   pages = "1--53",
   booktitle = "The State of the Art in Numerical Analysis",
   editor = "D.A.H. Jacobs", 
   publisher = "Academic Press, New York",
   kwds = "eig"
}

@article{wilk:86,
   author = "J. H. Wilkinson",
   year = "1986",
   title = "Error Analysis Revisited",
   journal = "IMA Bulletin",
   volume = "22",
   pages = "192--200",
   kwds = "error, hist"
}

@book{wire:71,
   author = "J. H. Wilkinson and C. Reinsch",
   year = "1971",
   title = "Handbook for Automatic Computation Volume II. Linear Algebra",
   publisher = "Springer-Verlag",
   address = "New York",
   kwds = "soft, eig, svd, qrd, survey"
}

@article{witt:36,
   author = "H. Wittmeyer",
   year = "1936",
   title = "{E}influss der {{\"A}nderung} einer {M}atrix auf der {L}{\"o}sung
	des zugeh{\"o}rigen {G}leichungssystems, sowie auf die charakterischen
	{Z}ahlen und die {E}igenvektoren",
   journal = "Z. Angew. Math. Mech.",
   volume = "16",
   pages = "189--199",
   kwds = "err"
}

@article{wrho:85,
   author = "S. J. Wright and J. N. Holt",
   year = "1985",
   title = "Algorithms for Nonlinear Least Squares with Linear Inequality 
	Constraints",
   journal = "SIAM J. Sci. Statist. Comput.",
   volume = "6",
   pages = "1033--1048",
   kwds = "nlsq, constr"
}

@article{yopa:96,
   author = "K. Yoo and H. Park",
   year = "1996",
   title = "Accurate Downdating of a modified {Gram-Schmidt QR} Decomposition",
   journal = "BIT",
   volume = "36",
   pages = "166--181",
   kwds = "downd, qrd, grsch"
}

@phdthesis{yoon:96,
   author = "P. A. Yoon",
   year = "1996",
   title = "Modifying Two-sided Orthogonal Decompositions: Algorithms, Implementations, 
and Applications",
   school = "The Pennsylvania State University",
   address = "Univesrity Park, PA",
   type = "{Ph.D.} thesis",
   kwds = "rrqr"
}

@article{yoba:98,
   author = " P. A. Yoon and J. L. Barlow",
   year = "1998",
   title = "An Efficient Rank Detection Procedure for Modifying the {ULV} Decomposition",
   journal = "BIT",
   volume = "38",
   pages = "781--801",
   kwds = "upd, rrqr"
}

@book{youn:71,
   author = "D. M. Young",
   year = "1971",
   title = "Iterative Solution of Large Linear Systems",
   publisher = "Academic Press",
   address = "New York",
   kwds = "iter, survey"
}

@phdthesis{yuan:93,
   author = "J.-Y. Yuan",
   year = "1993",
   title = "Iterative Methods for the Generalized Least-Squares Problem",
   school = "Instituto de Matem\'atica Pura e Aplicada",
   address = " Rio de Janeiro, Brazil",
   type = "{Ph.D.} thesis",
   kwds = "iter, thesis"
}

@article{yuan:93a,
   author = "J.-Y. Yuan",
   year = "1993",
   title = "The Convergence of the {\rm 2}-block {SAOR} Method for the
		  Least-Squares Problem ",
   journal = "Appl. Numer. Math.",
   volume = "11",
   pages = "429--441",
   kwds = "iter"
}

%za-

@article{zha:91,
   author = "H. Zha",
   year = "1991",
   title = "Implicit {QR} Factorization of a Product of Three Matrices",
   journal = "BIT",
   volume = "31",
   pages = "375--379",
   kwds = "qrd, ginv, test"
}

@article{zha:91a,
   author = "H. Zha",
   year = "1991",
   title = "Restricted Singular Value Decomposition of Matrix Triples",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "12",
   pages = "172--194",
   kwds = "qrd, ginv, test"
}

@article{zha:92,
   author = "H. Zha",
   year = "1992",
   title = "A Two-way Chasing Scheme for Reducing a Symmetric
		  Arrowhead Matrix to Tridiagonal Form",
   journal = "J. Numerical Linear Algebra Appl.",
   volume = "1",
   pages = "49--57",
   kwds = "svd, upd"
}

@article{zha:93,
   author = "H. Zha",
   year = "1993",
   title = "A Componentwise Perturbation Analysis of the {$QR$} Decomposition",
   journal = "SIAM J. Matrix Anal. Appl.",
   volume = "14",
   pages = "1124--1131",
   kwds = "qrd, pert"
}

@article{zhzh:98,
   author = "H. Zha and Z. Zhang",
   year = "1998",
   title = "Modifying the Generalized Singular Value Decomposition with Applications 
     in Direction-of-Arrival Finding",
   journal = "BIT",
   volume = "38",
   pages = "200--216",
   kwds = "upd, gsvd"
}

@incollection{zele:62,
   author = "M. Zelen",
   year = "1962",
   title = "Linear Estimation and Related Topics",
   booktitle = "Survey of Numerical Analysis",
   editor = "J. Todd",
   publisher = "McGraw-Hill, New York",
   pages = "558--584",
   kwds = "stat, hist"
}


@article{ziel:86,
   author = "G. Zielke",
   year = "1986",
   title = "Report on Test Matrices for Generalized Inverses",
   journal = "Computing",
   volume = "36",
   pages = "105--162",
   kwds = "ginv, test"
}

@phdthesis{zimm:77,
   author = "P. Zimmermann",
   year = "1977",
   title = "{Ein Algorithmus zur L{\"o}sung linearer Least Squares Probleme 
	mit unteren und oberen Schranken als Nebenbedingungen}",
   school = "Universit{\"a}t W{\"u}rzburg",
   address = "Germany",
   institution = "Institut f{\"u}r Angewandte Mathematik und Statistik",
   type = "{D}iplomarbeit",
   kwds = "constr"
}

@article{zlat:82,
   author = "Z. Zlatev",
   year = "1982",
   title = "Comparison of Two Pivotal Strategies in Sparse Plane Rotations",
   journal = " Comput. Math. Appl.",
   volume = "8",
   pages = "119--135",
   kwds = "sparse, perm, rot"
}

@book{zlat:92,
   author = "Z. Zlatev",
   year = "1992",
   title = "Computational Methods for General Sparse Matrices",
   publisher = "Kluwer Academic Publishers",
   address = "Norwell, MA",
   kwds = "sparse, perm, rot"
}

@techreport{zlni:79,
   author = "Z. Zlatev and H. Nielsen",
   year = "1979",
   title = "{LLSS{\rm 01}} - A {Fortran} Subroutine for Solving Least Squares 
	Problems ({User's} Guide)",
   institution = "Institute of Numerical Analysis, Technical University of 
	Denmark",
   address = "Lyngby, Denmark",
   type = "{Tech. Report}",
   number = "79-07",
   kwds = "soft, sparse"
}

@article{zlni:88,
   author = "Z. Zlatev and H. Nielsen",
   year = "1988",
   title = "Solving Large and Sparse Linear Least-Squares Problems by
	Conjugate Gradient Algorithms",
   journal = "Comput. Math. Appl.",
   volume = "15",
   pages = "185--202",
   note = "",
   kwds = "cg, precond, sparse, iter"
}

@unpublished{altkeys,
   author = "Zzzzz, Rip van",
   year = "1991",
   title = "Alternate Key Words",
   kwds = "           approximate methods (appr)
	   augmented system (augms)
	   backward perturbation (pert),
	   banded least squares (band),
	   blas (blas),
	   block angular system (basys),
    	   block methods (block),
	   Chebyshev approximation (cheb),
	   Cholesky (chol),
	   condition (cond),
	   conjugate gradients (cg),
	   constrained least squares (constr),
	   control theory (contr),
	   covariance matrix (covar),
           CS decomposition (csd),
           downdating (downd),
           eigenvalue problem (eigv)
           equilibration (scale),
	   error estimate (err),
	   fast Fourier transform (fft),
	   fill-in (fill),
	   generalized eigenvalue problems (geig),
           generalized inverse (ginv),
	   generalized linear model (glsq),
	   generalized QR decomposition (gqrd),
	   geodesy (geod),
	   geometric elements, fitting (geom),
           generalized singular value decomposition (gsvd),
           Givens rotation (rot),
	   graph theory (graph),
	   Gram-Schmidt (grsch),
	   history of least squares (hist), 
	   Householder (house),
	   hyperbolic rotation/Householder (hyp),
           ill-posed (illp),
	   interior point methods (intpoint),
	   interval analysis (err),
           iterative method (iter),
	   iterative refinement (ir),
	   Kronecker product (kron),
	   Lanczos (lanczos),
	   linear algebra general (la),
           LU decomposition (lud),
           matrix approximation (max),
	   nested dissection (nestdis),
           nonlinear least squares (nlsq),
	   normal equations (ne),
           null basis (nullsp)
  	   optimization (opt),
	   ordering for sparsity (perm),
           orthogonalization (orth),
           orthogonal regression (orthreg),
	   precision (err),
	   preconditioning (precond),
           pseudo-inverse (ginv),
           parallel computation (prll),
           perturbation theory (pert),
	   polynomial approximation (poly),
	   projection (orth), 
           QR decomposition (qrd),
	   quadratic programming (quadpr),
	   random matrix (rand), 
	   rank degenerate problems (rank),
	   rank revealing QR factorization (rrqr),
	   recursive least squares (rls),
	   regularization (regul),
           regression (regr),
	   robust estimation (rob),
	   scaling (scale),
	   signal processing (signal),
           singular value decomposition (svd),
	   software (soft),
           sparse (sparse),
	   spline approximation (spline),
           statistics (stat),
           structured least squares (struc)
	   survey paper/book (survey),
	   systolic (syst),
	   test matrix (test),
	   Toeplitz (toep), 
	   total least squares (tls), 
	   underdetermined systems (uds),
	   updating, downdating (upd, downd), 
	   Vandermonde systems  (vand),
           variable projection (varpro),
	   vector processing (prll), 
	   weighted least squares (wlsq)" 
}