% From cs.cornell.edu!cv Fri Oct 5 10:00:53 PDT 1990
%
% Bibliography of the book "Matrix Computations", 2nd Edn.,
% by Gene H. Golub & Charles F. Van Loan,
% The Joh ns Hopkins University Press, Baltimore, Maryland 21218, 1989.
% The original bibliography prepared by Charles Van Loan
% (Computer Science, Cornell University, Ithaca, NY 14583)
% was corrected, edited and put in Bibtex format (September 1990)
% by Chris Paige and Clement Pellerin
% (Computer Science, McGill University, Montreal, PQ, Canada H3A 2A7).
% email any corrections to Charlie Van Loan at cv'AT SIGN'cs.cornell.edu
%
% This is the BibTeX file, store it as, for example, gvl.bib
%
% USE: suppose you want the first reference only to appear, without
% citing it. Store in a file called say egcite.tex (without the %s):
%
% \documentstyle[art12,fullpage]{article}
% \begin{document}
% \nocite{Aas71}
% \bibliographystyle{unsrt}
% \bibliography{gvl}
% \end{document}
%
% Then run
% latex egcite
% bibtex egcite
% latex egcite
% latex egcite
% and use the resulting egcite.dvi to give the required output.
% Using \nocite{*} should give you all entries, but you may have to
% \nocite half of them, then the rest, to do this.
%
% Some entries have a \cite in the Note field because they appear
% both in a journal and in a book, Calling
% latex; bibtex; latex; latex
% fails if you cite one of these entries.
% If this happens you should either call:
% latex; bibtex; latex; bibtex; latex; latex
% or else you should \nocite{WilR71} at the beginning of your document
% but don't use \bibliographystyle{unsrt} because WilR71 will come first
% Journals
% First the Full Name is given, then the abbreviation used in the AMS Math
% Reviews, with an indication if it could not be found there.
% Note the 2nd overwrites the 1st, so swap them if you want the full name.
%{AMS}
@String{AMSTrans = "American Mathematical Society Translations" }
@String{AMSTrans = "Amer. Math. Soc. Transl." }
@String{BullAMS = "Bulletin of the American Mathematical Society" }
@String{BullAMS = "Bull. Amer. Math. Soc." }
@String{ProcAMS = "Proceedings of the American Mathematical Society" }
@String{ProcAMS = "Proc. Amer. Math. Soc." }
@String{TransAMS = "Transactions of the American Mathematical Society" }
@String{TransAMS = "Trans. Amer. Math. Soc." }
%ACM
@String{CACM = "Communications of the {ACM}" }
@String{CACM = "Comm. {ACM}" }
@String{CompServ = "{ACM} Computing Surveys" }
@String{CompServ = "Comput. Surveys" }
@String{JACM = "Journal of the {ACM}" }
@String{JACM = "J. Assoc. Comput. Mach." }
@String{ACMMathSoft = "{ACM} Transactions on Mathematical Software" }
@String{ACMMathSoft = "{ACM} Trans. Math. Software" }
@String{SIGNUM = "{ACM} {SIGNUM} Newsletter" }
@String{SIGNUM = "{ACM} {SIGNUM} Newslett." }
@String{AmerSocio = "American Journal of Sociology" }
@String{AmerSocio = "Amer. J. Sociology" } % didn't find in AMS MR
@String{AmerStatAssoc = "Journal of the American Statistical Association" }
@String{AmerStatAssoc = "J. Amer. Statist. Assoc." }
@String{ApplMathComp = "Applied Mathematics and Computation" }
@String{ApplMathComp = "Appl. Math. Comput." }
@String{AmerMathMonthly = "American Mathematical Monthly" }
@String{AmerMathMonthly = "Amer. Math. Monthly" }
@String{BIT = "{BIT}" }
@String{BIT = "{BIT}" }
@String{BritStatPsych = "British Journal of Mathematical and Statistical
Psychology" }
@String{BritStatPsych = "Brit. J. Math. Statist. Psych." }
@String{CanMathBull = "Canadian Mathematical Bulletin" }
@String{CanMathBull = "Canad. Math. Bull." }
@String{CompApplMath = "Journal of Computational and Applied Mathematics" }
@String{CompApplMath = "J. Comput. Appl. Math." }
@String{CompPhys = "Journal of Computational Physics" }
@String{CompPhys = "J. Comput. Phys." }
@String{CompStruct = "Computers and Structures" }
@String{CompStruct = "Comput. \& Structures" }
@String{CompJour = "The Computer Journal" }
@String{CompJour = "Comput. J." }
@String{CompSysSci = "Journal of Computer and System Sciences" }
@String{CompSysSci = "J. Comput. System Sci." }
@String{Computing = "Computing" }
@String{Computing = "Computing" }
@String{ContempMath = "Contemporary Mathematics" }
@String{ContempMath = "Contemp. Math." }
@String{Crelle = "Crelle's Journal" }
@String{Crelle = "Crelle's J." } % didn't find in AMS MR.
%% When will they get up to date?
@String{GiornaleMath = "Giornale di Mathematiche" }
@String{GiornaleMath = "Giorn. Mat." } % didn't find in AMS MR., ibid.
%IEEE
@String{Computer = "{IEEE} Computer" }
@String{Computer = "{IEEE} Computer" }
@String{IEEETransComp = "{IEEE} Transactions on Computers" }
@String{IEEETransComp = "{IEEE} Trans. Comput." }
@String{IEEETransAC = "{IEEE} Transactions on Automatic Control" }
@String{IEEETransAC = "{IEEE} Trans. Automat. Control" }
@String{IEEESpec = "{IEEE} Spectrum" }
@String{IEEESpec = "{IEEE} Spectrum" } % didn't find in AMS MR
@String{ProcIEEE = "Proceedings of the {IEEE}" }
@String{ProcIEEE = "Proc. {IEEE}" } % didn't find in AMS MR
@String{IEEETransAeroElec = "{IEEE} Transactions on Aerospace and Electronic
Systems" }
@String{IEEETransAeroElec = "{IEEE} Trans. Aerospace Electron. Systems" }
@String{IMANumerAna = "{IMA} Journal of Numerical Analysis" }
@String{IMANumerAna = "{IMA} J. Numer. Anal." }
@String{InfProcLet = "Information Processing Letters" }
@String{InfProcLet = "Inform. Process. Lett." }
@String{InstMathApp = "Journal of the Institute of Mathematics and
its Applications" }
@String{InstMathApp = "J. Inst. Math. Appl." }
@String{IntControl = "International Journal of Control" }
@String{IntControl = "Internat. J. Control" }
@String{IntNumerEng = "International Journal for Numerical Methods in
Engineering" }
@String{IntNumerEng = "Internat. J. Numer. Methods Engrg." }
@String{IntSuper = "International Journal of Supercomputing Applications" }
@String{IntSuper = "Internat. J. Supercomputing Applic." } % didn't find
%% in AMS MR
@String{Kibernetika = "Kibernetika" }
@String{Kibernetika = "Kibernetika" }
@String{JResNatBurStand = "Journal of Research of the National Bureau
of Standards" }
@String{JResNatBurStand = "J. Res. Nat. Bur. Standards" }
@String{LinAlgApp = "Linear Algebra and its Applications" }
@String{LinAlgApp = "Linear Algebra Appl." }
@String{MathAnaAppl = "Journal of Mathematical Analysis and Applications" }
@String{MathAnaAppl = "J. Math. Anal. Appl." }
@String{MathAnnalen = "Mathematische Annalen" }
@String{MathAnnalen = "Math. Ann." }
@String{MathPhys = "Journal of Mathematical Physics" }
@String{MathPhys = "J. Math. Phys." }
@String{MathComp = "Mathematics of Computation" }
@String{MathComp = "Math. Comp." }
@String{MathScand = "Mathematica Scandinavica" }
@String{MathScand = "Math. Scand." }
@String{TablesAidsComp = "Mathematical Tables and Other Aids to Computation" }
@String{TablesAidsComp = "Math. Tables Aids Comput." }
@String{NumerMath = "Numerische Mathematik" }
@String{NumerMath = "Numer. Math." }
@String{PacificMath = "Pacific Journal of Mathematics" }
@String{PacificMath = "Pacific J. Math." }
@String{ParDistComp = "Journal of Parallel and Distributed Computing" }
@String{ParDistComp = "J. Parallel and Distrib. Comput." } % didn't find
%% in AMS MR
@String{ParComputing = "Parallel Computing" }
@String{ParComputing = "Parallel Comput." }
@String{PhilMag = "Philosophical Magazine" }
@String{PhilMag = "Philos. Mag." }
@String{ProcNAS = "Proceedings of the National Academy of Sciences
of the USA" }
@String{ProcNAS = "Proc. Nat. Acad. Sci. U.S.A." }
@String{Psychometrika = "Psychometrika" }
@String{Psychometrika = "Psychometrika" }
@String{QuartMath = "Quarterly Journal of Mathematics, Oxford, Series (2)" }
@String{QuartMath = "Quart. J. Math. Oxford Ser. (2)" }
@String{QuartApplMath = "Quarterly of Applied Mathematics" }
@String{QuartApplMath = "Quart. Appl. Math." }
@String{RevueInstStat = "Review of the International Statisical Institute" }
@String{RevueInstStat = "Rev. Inst. Internat. Statist." }
%SIAM
@String{JSIAM = "Journal of the Society for Industrial and Applied
Mathematics" }
@String{JSIAM = "J. Soc. Indust. Appl. Math." }
@String{JSIAMB = "Journal of the Society for Industrial and Applied
Mathematics, Series B, Numerical Analysis" }
@String{JSIAMB = "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal." }
@String{SIAMAlgMeth = "{SIAM} Journal on Algebraic and Discrete Methods" }
@String{SIAMAlgMeth = "{SIAM} J. Algebraic Discrete Methods" }
@String{SIAMAppMath = "{SIAM} Journal on Applied Mathematics" }
@String{SIAMAppMath = "{SIAM} J. Appl. Math." }
@String{SIAMComp = "{SIAM} Journal on Computing" }
@String{SIAMComp = "{SIAM} J. Comput." }
@String{SIAMMatrix = "{SIAM} Journal on Matrix Analysis and Applications" }
@String{SIAMMatrix = "{SIAM} J. Matrix Anal. Appl." }
@String{SIAMNumAnal = "{SIAM} Journal on Numerical Analysis" }
@String{SIAMNumAnal = "{SIAM} J. Numer. Anal." }
@String{SIAMReview = "{SIAM} Review" }
@String{SIAMReview = "{SIAM} Rev." }
@String{SIAMSciStat = "{SIAM} Journal on Scientific and Statistical
Computing" }
@String{SIAMSciStat = "{SIAM} J. Sci. Statist. Comput." }
@String{SoftPracExp = "Software Practice and Experience" }
@String{SoftPracExp = "Software Prac. Experience" } % didn't find in AMS MR
@String{StatScience = "Statistical Science" }
@String{StatScience = "Statist. Sci." }
@String{Techno = "Technometrics" }
@String{Techno = "Technometrics" }
@String{USSRCompMathPhys = "{USSR} Computational Mathematics and Mathematical
Physics" }
@String{USSRCompMathPhys = "{U.S.S.R.} Comput. Math. and Math. Phys." }
@String{VLSICompSys = "Journal of {VLSI} and Computer Systems" }
@String{VLSICompSys = "J. {VLSI} Comput. Syst." }
@String{ZAngewMathMech = "Zeitschrift fur Angewandte Mathematik und
Mechanik" }
@String{ZAngewMathMech = "Z. Angew. Math. Mech." }
@String{ZAngewMathPhys = "Zeitschrift fur Angewandte Mathematik und Physik" }
@String{ZAngewMathPhys = "Z. Angew. Math. Phys." }
% Publishers
@String{Academic = "Academic Press" }
@String{ACMPress = "{ACM} Press" }
@String{AdamHilger = "Adam Hilger" }
@String{AddisonWesley = "Addison-Wesley" }
@String{AllynBacon = "Allyn and Bacon" }
@String{AMS = "American Mathematical Society" }
@String{Birkhauser = "Birkha{\"u}ser" }
@String{CambridgePress = "Cambridge University Press" }
@String{Chelsea = "Chelsea" }
@String{ClaredonPress = "Claredon Press" }
@String{DoverPub = "Dover Publications" }
@String{Eyolles = "Eyolles" }
@String{HoltRinehartWinston = "Holt, Rinehart and Winston" }
@String{Interscience = "Interscience" }
@String{JohnsHopkinsPress = "The Johns Hopkins University Press" }
@String{JohnWileySons = "John Wiley and Sons" }
@String{Macmillan = "Macmillan" }
@String{MathWorks = "The Math Works Inc." }
@String{McGrawHill = "McGraw-Hill" }
@String{NatBurStd = "National Bureau of Standards" }
@String{NorthHolland = "North-Holland" }
@String{OxfordPress = "Oxford University Press" } %address Oxford or London?
@String{PergamonPress = "Pergamon Press" }
@String{PlenumPress = "Plenum Press" }
@String{PrenticeHall = "Prentice-Hall" }
@String{SIAMPub = "{SIAM} Publications" }
@String{Springer = "Springer-Verlag" }
@String{TexasPress = "University of Texas Press" }
@String{VanNostrand = "Van Nostrand" }
@String{WHFreeman = "W.H. Freeman and Co." }
%Entries
@Article{ Aas71,
Author = "J.O. Aasen",
Year = 1971,
Title = "On the Reduction of a Symmetric Matrix to Tridiagonal Form",
Journal = BIT,
Volume = 11,
Pages = "233--242"
}
@Article{ Abd71,
Author = "N.N. Abdelmalek",
Year = 1971,
Title = "Roundoff Error Analysis for {G}ram-{S}chmidt Method and Solution
of Linear Least Squares Problems",
Journal = BIT,
Volume = 11,
Pages = "1345--1368"
}
@Article{ Ada85,
Author = "L. Adams",
Year = 1985,
Title = "{m}-step Preconditioned Conjugate Gradient Methods",
Journal = SIAMSciStat,
Volume = 6,
Pages = "452--463"
}
@Article{ AdaC84,
Author = "L. Adams and T. Crockett",
Year = 1984,
Title = "Modelling Algorithm Execution Time on Processor Arrays",
Journal = Computer,
Volume = 17,
Pages = "38--43"
}
@Article{ AlePP88,
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 = LinAlgApp,
Volume = 98,
Pages = "3--40"
}
@Article{ All73,
Author = "E.L. Allgower",
Year = 1973,
Title = "Exact Inverses of Certain Band Matrices",
Journal = NumerMath,
Volume = 21,
Pages = "279--284"
}
@TechReport{ AmiM65,
Author = "A.R. Amir-Moez",
Year = 1965,
Title = "Extremal Properties of Linear Transformations and Geometry of
Unitary Spaces",
Institution = "Texas Tech University",
type = "Mathematics Series",
number = 243,
Address = "Lubbock, TX"
}
@Article{ AndK75,
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"
}
@Article{ AndL73,
Author = "P. Anderson and G. Loizou",
Year = 1973,
Title = "On the Quadratic Convergence of an Algorithm that Diagonalizes
a Complex Symmetric Matrix",
Journal = InstMathApp,
Volume = 12,
Pages = "261--271"
}
@Article{ AndL76,
Author = "P. Anderson and G. Loizou",
Year = 1976,
Title = "A {J}acobi-Type Method for Complex Symmetric Matrices
({H}andbook)",
Journal = NumerMath,
Volume = 25,
Pages = "347--363"
}
@Article{ AndOU87,
Author = "T.W. Anderson and I. Olkin and L.G. Underhill",
Year = 1987,
Title = "Generation of Random Orthogonal Matrices",
Journal = SIAMSciStat,
Volume = 8,
Pages = "625--629"
}
@Article{ AndS83,
Author = "G. Andrews and F.B. Schneider",
Year = 1983,
Title = "Concepts and Notations for Concurrent Programming",
Journal = CompServ,
Volume = 15,
Pages = "1--43"
}
@Article{ Arn51,
Author = "W.E. Arnoldi",
Year = 1951,
Title = "The Principle of Minimized Iterations in the Solution of the
Matrix Eigenvalue Problem",
Journal = QuartApplMath,
Volume = 9,
Pages = "17--29"
}
@TechReport{ ArbG87,
Author = "P. Arbenz and G.H. Golub",
Year = 1987,
Title = "On the Spectral Decomposition of {H}ermitian Matrices Subject
to Indefinite Low Rank Perturbations with Applications",
Number = "NA 87-07",
Institution = "Computer Science, Stanford University",
Address = "Stanford, CA"
}
@Article{ ArbGG88,
Author = "P. Arbenz and W. Gander and G.H. Golub",
Year = 1988,
Title = "Restricted Rank Modification of the Symmetric Eigenvalue Problem:
Theoretical Considerations",
Journal = LinAlgApp,
Volume = 104,
Pages = "75--95"
}
@Article{ ArbG88,
Author = "P. Arbenz and G.H. Golub",
Year = 1988,
Title = "On the Spectral Decomposition of {H}ermitian Matrices Subject to
Indefinite Low Rank Perturbations with Applications",
Journal = SIAMMatrix,
Volume = 9,
Pages = "40--58"
}
@TechReport{ AriDD88,
Author = "M. Arioli and J.W. Demmel and I.S. Duff",
Year = 1988,
Title = "Solving Sparse Linear Systems with Sparse Backward Error",
Number = "CSS 214",
Institution = "Computer Science and Systems Division, AERE Harwell",
Address = "Didcot, England"
}
@Article{ AriR85,
Author = "M. Arioli and F. Romani",
Year = 1985,
Title = "Relations Between Condition Numbers and the Convergence of the
{J}acobi Method for Real Positive Definite Matrices",
Journal = NumerMath,
Volume = 46,
Pages = "31--42"
}
@Article{ AriL85,
Author = "M. Arioli and A. Laratta",
Year = 1985,
Title = "Error Analysis of an Algorithm for Solving an Underdetermined
System",
Journal = NumerMath,
Volume = 46,
Pages = "255--268"
}
@TechReport{ ArmC76,
Author = "E.S. Armstrong and A.K. Caglayan",
Year = 1976,
Title = "An Algorithm for the Weighting Matrices in the Sample-Data Optimal
Linear Regulator Problem",
Number = "TN D-8372",
Institution = "NASA"
}
@Article{ ArnL84,
Author = "W.F. Arnold and A.J. Laub",
Year = 1984,
Title = "Generalized Eigenproblem Algorithms and Software for Algebraic
{R}iccati Equations",
Journal = ProcIEEE,
Volume = 72,
Pages = "1746--1754"
}
@PhDThesis{ Ash87,
Author = "S.F. Ashby",
Year = 1987,
Title = "Polynomial Preconditioning for Conjugate Gradient Methods",
School = "Computer Science, University of Illinois",
Address = "ILL",
}
@TechReport{ AshMS88,
Author = "S. Ashby and T.A. Manteuffel and P.E. Saylor",
Year = 1988,
Title = "A Taxonomy for Conjugate Gradient Methods",
Number = "UCRL-98508",
Institution = "Lawrence Livermore National Laboratory",
Address = "Livermore, CA"
}
@Article{ Asp59,
Author = "E. Asplund",
Year = 1959,
Title = "Inverse of Matrices {$\{a_{ij}\}$} Which Satisfy
{$a_{ij} = 0$, $j > i+p$}",
Journal = MathScand,
Volume = 7,
Pages = "57--60"
}
@InCollection{ Axe77,
Author = "O. Axelsson",
Year = 1977,
Title = "Solution of Linear Systems of Equations: Iterative Methods",
BookTitle = "Sparse Matrix Techniques: {C}openhagen, 1976",
Editor = "V.A. Barker",
Publisher = Springer,
Address = "Berlin"
}
@Article{ Axe80,
Author = "O. Axelsson",
Year = 1980,
Title = "Conjugate Gradient Type Methods for Unsymmetric and Inconsistent
Systems of Linear Equations",
Journal = LinAlgApp,
Volume = 29,
Pages = "1--66"
}
@Article{ Axe85,
Author = "O. Axelsson",
Year = 1985,
Title = "A Survey of Preconditioned Iterative Methods for Linear Systems of
Equations",
Journal = BIT,
Volume = 25,
Pages = "166--187"
}
@Article{ AxeP86,
Author = "O. Axelsson and B. Polman",
Year = 1986,
Title = "On Approximate Factorization Methods for Block Matrices Suitable
for Vector and Parallel Processors",
Journal = LinAlgApp,
Volume = 77,
Pages = "3--26"
}
@Article{ Bai88a,
Author = "Z. Bai",
Year = 1988,
Title = "Note on the Quadratic Convergence of {K}ogbetliantz's Algorithm for
Computing the Singular Value Decomposition",
Journal = LinAlgApp,
Volume = 104,
Pages = "131--140"
}
@Article{ Bai88b,
Author = "D. Bailey",
Year = 1988,
Title = "Extra High Speed Matrix Multiplication on the {C}ray-2",
Journal = SIAMSciStat,
Volume = 9,
Pages = "603--607"
}
@Article{ BarI75,
Author = "I.Y. Bar-Itzhack",
Year = 1975,
Title = "Iterative Optimal Orthogonalization of the Strapdown Matrix",
Journal = IEEETransAeroElec,
Volume = 11,
Pages = "30--37"
}
@Article{ Bar87,
Author = "J. L. Barlow",
Year = 1987,
Title = "On the Smallest Positive Singular Value of an {$M$}-Matrix with
Applications to Ergodic {M}arkov Chains",
Journal = SIAMAlgMeth,
Volume = 7,
Pages = "414--424"
}
@Article{ BarNP88,
Author = "J.L. Barlow and N.K. Nichols and R.J. Plemmons",
Year = 1988,
Title = "Iterative Methods for Equality Constrained Least Squares Problems",
Journal = SIAMSciStat,
Volume = 9,
Pages = "892--906"
}
@Article{ BarS68,
Author = "S. Barnett and C. Storey",
Year = 1968,
Title = "Some Applications of the {L}yapunov Matrix Equation",
Journal = InstMathApp,
Volume = 4,
Pages = "33--42"
}
@Article{ BarP75a,
Author = "I. Barrodale and C. Phillips",
Year = 1975,
Title = "Algorithm~495: Solution of an Overdetermined System of Linear
Equations in the {C}hebychev Norm",
Journal = ACMMathSoft,
Volume = 1,
Pages = "264--270"
}
@Article{ BarR73,
Author = "I. Barrodale and F.D.K. Roberts",
Year = 1973,
Title = "An Improved Algorithm for Discrete {$L_{1}$} Linear Approximation",
Journal = SIAMNumAnal,
Volume = 10,
Pages = "839--848"
}
@Article{ Bar71,
Author = "R.H. Bartels",
Year = 1971,
Title = "A Stabilization of the Simplex Method",
Journal = NumerMath,
Volume = 16,
Pages = "414--434"
}
@Article{ BarCC78,
Author = "R.H. Bartels and A.R. Conn and C. Charalambous",
Year = 1978,
Title = "On {C}line's Direct Method for Solving Overdetermined Linear Systems
in the {$L_{\infty}$} Sense",
Journal = SIAMNumAnal,
Volume = 15,
Pages = "255--270"
}
@Article{ BarCS78,
Author = "R.H. Bartels and A.R. Conn and J.W. Sinclair",
Year = 1978,
Title = "Minimization Techniques for Piecewise Differentiable Functions:
The {$L_{1}$} Solution to an Overdetermined Linear System",
Journal = SIAMNumAnal,
Volume = 15,
Pages = "224--241"
}
@Article{ BarS72,
Author = "R.H. Bartels and G.W. Stewart",
Year = 1972,
Title = "Solution of the Equation {$AX + XB = C$}",
Journal = CACM,
Volume = 15,
Pages = "820--826"
}
@Article{ BarMW67,
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 = NumerMath,
Volume = 9,
Pages = "386-393",
Note = "Also in \cite[pages 249--256]{WilR71}"
}
@Article{ BarG76,
Author = "V. Barwell and J.A. George",
Year = 1976,
Title = "A Comparison of Algorithms for Solving Symmetric Indefinite
Systems of Linear Equations",
Journal = ACMMathSoft,
Volume = 2,
Pages = "242--251"
}
@Article{ BatW73,
Author = "K.J. Bathe and E.L. Wilson",
Year = 1973,
Title = "Solution Methods for Eigenvalue Problems in Structural Mechanics",
Journal = IntNumerEng,
Volume = 6,
Pages = "213--226"
}
@Article{ BauF60a,
Author = "F.L. Bauer and C.T. Fike",
Year = 1960,
Title = "Norms and Exclusion Theorems",
Journal = NumerMath,
Volume = 2,
Pages = "137--144"
}
@Article{ Bau63,
Author = "F.L. Bauer",
Year = 1963,
Title = "Optimally Scaled Matrices",
Journal = NumerMath,
Volume = 5,
Pages = "73--87"
}
@Article{ Bau65,
Author = "F.L. Bauer",
Year = 1965,
Title = "Elimination with Weighted Row Combinations for Solving Linear
Equations and Least Squares Problems",
Journal = NumerMath,
Volume = 7,
Pages = "338--352",
Note = "Also in \cite[pages 119--133]{WilR71}"
}
@Article{ BauF60b,
Author = "F.L. Bauer and C.T. Fike",
Year = 1960,
Title = "Norms and Exclusion Theorems",
Journal = NumerMath,
Volume = 2,
Pages = "137--144"
}
@Article{ BauR68,
Author = "F.L. Bauer and C. Reinsch",
Year = 1968,
Title = "Rational {QR} Transformation with {N}ewton Shift for Symmetric
Tridiagonal Matrices",
Journal = NumerMath,
Volume = 11,
Pages = "264--272",
Note = "Also in \cite[pages 257--265]{WilR71}"
}
@InCollection{ BauR70,
Author = "F.L. Bauer and C. Reinsch",
Year = 1970,
Title = "Inversion of Positive Definite Matrices by the {G}auss-{J}ordan
Methods",
BookTitle = "Handbook for Automatic Computation Vol. 2: Linear Algebra",
Editor = "J.H. Wilkinson and C. Reinsch",
Publisher = Springer,
Address = "New York",
Pages = "45--49"
}
@Article{ BavS79,
Author = "C. Bavely and G.W. Stewart",
Year = 1979,
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Author = "C.H. Bischof",
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Author = "C.H. Bischof",
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Title = "Computing the Singular Value Decomposition on a Distributed System
of Vector Processors",
Number = "87 869",
Institution = "Computer Science, Cornell University",
Address = "Ithaca, NY"
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Author = "C.H. Bischof",
Year = 1988,
Title = "{QR} Factorization Algorithms for Coarse Grain Distributed Systems",
School = "Computer Science, Cornell University",
Address = "Ithaca, NY"
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Author = "C.H. Bischof and Van Loan, C.",
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Title = "Computing the {SVD} on a Ring of Array Processors",
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Author = "C.H. Bischof and Van Loan, C.",
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Author = "{\AA}. Bj{\"o}rck",
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Author = "{\AA}. Bj{\"o}rck and C. Bowie",
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Author = "{\AA}. Bj{\"o}rck and R.J. Plemmons and H. Schneider",
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Author = "{\AA}. Bj{\"o}rck and S. Hammarling",
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Author = "R. Byers",
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Title = "{H}amiltonian and Symplectic Algorithms for the Algebraic {R}iccati
Equation",
School = "Center for Applied Mathematics, Cornell University",
Address = "Ithaca, NY",
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Author = "A.K. Cline",
Year = 1976,
Title = "Several observations on the Use of Conjugate Gradient Methods",
Type = "report",
Number = "76-22",
Institution = "ICASE, NASA Langley Research Center",
Address = "Hampton, VA"
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Author = "T. Coleman and Van Loan, C.",
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Author = "P. Concus and G.H. Golub and D.P. O'Leary",
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Title = "A Generalized Conjugate Gradient Method for the Numerical Solution
of Elliptic Partial Differential Equations",
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Author = "S.D. Conte and de Boor, C.",
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Title = "Elementary Numerical Analysis: An Algorithmic Approach",
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Author = "J.E. Cope and B.W. Rust",
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Author = "M. Costnard and J.M. Muller and Y. Robert",
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Author = "M. Costnard and M. Marrakchi and Y. Robert",
Year = 1988,
Title = "Parallel {G}aussian Elimination on an {MIMD} Computer",
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Volume = 6,
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Author = "R.W. Cottle",
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Author = "M.G. Cox",
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Author = "C.R. Crawford",
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Author = "C.R. Crawford",
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Author = "C.R. Crawford",
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Author = "C.R. Crawford and Y.S. Moon",
Year = 1983,
Title = "Finding a Positive Definite Linear Combination of Two {H}ermitian
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Author = "C.W. Cryer",
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Author = "J. Cullum",
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Author = "J. Cullum and W.E. Donath",
Year = 1974,
Title = "A Block {L}anczos Algorithm for Computing the {Q} Algebraically
Largest Eigenvalues and a Corresponding Eigenspace of Large,
Sparse Real Symmetric Matrices",
BookTitle = "Proceedings of the 1974 IEEE Conference on Decision and
Control, {Phoenix, AZ}",
Pages = "505--509"
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@TechReport{ CulW77,
Author = "J. Cullum and R.A. Willoughby",
Year = 1977,
Title = "The Equivalence of the {L}anczos and the Conjugate Gradient
Algorithms",
Number = "RC-6903",
Institution = "IBM",
Address = "Yorktown Heights, NY"
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Author = "J. Cullum and R.A. Willoughby",
Year = 1979,
Title = "{L}anczos and the Computation in Specified Intervals of the Spectrum
of Large, Sparse Real Symmetric Matrices",
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Editor = "I.S. Duff and G.W. Stewart",
Publisher = SIAMPub,
Address = "Philadelphia, PA"
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Author = "J. Cullum and R.A. Willoughby",
Year = 1980,
Title = "The {L}anczos Phenomena: An Interpretation Based on Conjugate
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Volume = 29,
Pages = "63--90"
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Author = "J. Cullum and R.A. Willoughby",
Year = 1985,
Title = "{L}anczos Algorithms for Large Symmetric
Eigenvalue Computations, Volume 1: Theory",
Publisher = Birkhauser,
Address = "Boston"
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Author = "J. Cullum and R.A. Willoughby",
Year = 1985,
Title = "{L}anczos Algorithms for Large Symmetric
Eigenvalue Computations, Volume 2: Programs",
Publisher = Birkhauser,
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Editor = "J. Cullum and R.A. Willoughby",
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Publisher = NorthHolland,
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Author = "J. Cullum and R.A. Willoughby and M. Lake",
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Volume = 4,
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Author = "J.J.M. Cuppen",
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Author = "E. Cuthill",
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Author = "G. Cybenko",
Year = 1978,
Title = "Error Analysis of Some Signal Processing Algorithms",
School = "Princeton University",
Address = "Princeton, NJ"
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Author = "G. Cybenko",
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Title = "The Numerical Stability of the {L}evinson-{D}urbin Algorithm for
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Author = "G. Cybenko",
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Author = "G. Cybenko and Van Loan, C.",
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Author = "J. Daniel and W.B. Gragg and L. Kaufman and G.W. Stewart",
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Title = "Reorthogonalization and Stable Algorithms for Updating the
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Volume = 30,
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Author = "B.N. Datta and C.R. Johnson and M.A. Kaashoek and R. Plemmons and
E.D. Sontag",
Year = 1988,
Title = "Linear Algebra in Signals, Systems, and Control",
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Address = "Philadelphia"
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Author = "G.J. Davis",
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Title = "Column {LU} Pivoting on a Hypercube Multiprocessor",
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Author = "A. Dax and S. Kaniel",
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Title = "Pivoting Techniques for Symmetric {G}aussian Elimination",
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Author = "J. Day and B. Peterson",
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Volume = 95,
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Author = "M.J. Dayde and I.S. Duff",
Year = 1988,
Title = "Use of Level-3 {BLAS} in {LU} Factorization on the {C}ray-2, the
{ETA-10P}, and the {IBM 3090-200/VF}",
Number = "CSS-229",
Institution = "Computer Science and Systems Division, Harwell Laboratory",
Address = "Oxon OX11 ORA, England"
}
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Author = "de Boor, C. and A. Pinkus",
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Author = "P. Deift and T. Nande and C. Tome",
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Title = "Ordinary Differential Equations and the Symmetric Eigenvalue
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Volume = 20,
Pages = "1--22"
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Author = "J.W. Demmel",
Year = 1983,
Title = "A Numerical Analyst's {J}ordan Canonical Form",
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Volume = 20,
Pages = "599--610"
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Author = "J.W. Demmel",
Year = 1984,
Title = "Underflow and the Reliability of Numerical Software",
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Volume = 5,
Pages = "887--919"
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Author = "J.W. Demmel",
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Volume = 51,
Pages = "251--289"
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Author = "J.W. Demmel",
Year = 1987,
Title = "A Counterexample for two Conjectures About Stability",
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Volume = "AC-32",
Pages = "340--342"
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Author = "J.W. Demmel",
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Volume = 38,
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Author = "J.W. Demmel",
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Volume = 24,
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Author = "J.W. Demmel",
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Volume = 50,
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Author = "J.W. Demmel and B. K{\aa}gstr{\"o}m",
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Title = "Computing Stable Eigendecompositions of Matrix Pencils",
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Volume = "88/89",
Pages = "139--186"
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Author = "J.W. Demmel and B. K{\aa}gstr{\"o}m",
Year = 1988,
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Author = "J.E. Dennis and R. Schnabel",
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Author = "J.E. Dennis Jr and K. Turner",
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Author = "J.J. Dongarra and Du Croz, J. and I.S. Duff and S. Hammarling",
Year = 1988,
Title = "A Set of Level 3 {B}asic {L}inear {A}lgebra {S}ubprograms",
Number = "ANL-MCS-TM-88",
Institution = "Argonne National Laboratory",
Address = "Argonne, ILL"
}
@Article{ DonCHH88b,
Author = "J.J. Dongarra and Du Croz, J. and S. Hammarling and R.J. Hanson",
Year = 1988,
Title = "An Extended Set of {F}ortran {B}asic {L}inear {A}lgebra
{S}ubprograms",
Journal = ACMMathSoft,
Volume = 14,
Pages = "1--17"
}
@Article{ DonCHH88a,
Author = "J.J. Dongarra and Du Croz, J. and S. Hammarling and R.J. Hanson",
Year = 1988,
Title = "Algorithm~656: An Extended Set of {F}ortran Basic Linear Algebra
Subprograms: Model Implementation and Test Programs",
Journal = ACMMathSoft,
Volume = 14,
Pages = "18--32"
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@Article{ DonE84,
Author = "J.J. Dongarra and S. Eisenstat",
Year = 1984,
Title = "Squeezing the Most Out of an Algorithm in {C}ray {F}ortran",
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Volume = 10,
Pages = "221--230"
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@Article{ DonGK84,
Author = "J.J. Dongarra and F.G. Gustavson and A. Karp",
Year = 1984,
Title = "Implementing Linear Algebra Algorithms for Dense Matrices on a
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Volume = 26,
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@TechReport{ DonHS87,
Author = "J.J. Dongarra and S. Hammarling and D.C. Sorensen",
Year = 1987,
Title = "Block Reduction of Matrices to Condensed form for Eigenvalue
Computations",
Number = "ANL-MCS-TM 99",
Institution = "Argonne National Laboratory",
Address = "Argonne, Illinois"
}
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Author = "J. Dongarra and T. Hewitt",
Year = 1986,
Title = "Implementing Dense Linear Algebra Algorithms Using Multitasking on
the {Cray X-MP-4} (or Approaching the Gigaflop)",
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Volume = 7,
Pages = "347--350"
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Author = "J. Dongarra and A. Hinds",
Year = 1979,
Title = "Unrolling Loops in {F}ortran",
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Volume = 9,
Pages = "219--229"
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@Article{ DonH84,
Author = "J.J. Dongarra and R.E. Hiromoto",
Year = 1984,
Title = "A Collection of Parallel Linear Equation Routines for the
{D}enelcor {HEP}",
Journal = ParComputing,
Volume = 1,
Pages = "133--142"
}
@Article{ DonKH86,
Author = "J.J. Dongarra and L. Kaufman and S. Hammarling",
Year = 1986,
Title = "Squeezing the Most Out of Eigenvalue Solvers on High Performance
Computers",
Journal = LinAlgApp,
Volume = 77,
Pages = "113--136"
}
@Article{ DonMW83,
Author = "J.J. Dongarra and C.B. Moler and J.H. Wilkinson",
Year = 1983,
Title = "Improving the Accuracy of Computed Eigenvalues and Eigenvectors",
Journal = SIAMNumAnal,
Volume = 20,
Pages = "23--46"
}
@Article{ DonS84,
Author = "J.J. Dongarra and A.H. Sameh",
Year = 1984,
Title = "On Some Parallel Banded System Solvers",
Journal = ParComputing,
Volume = 1,
Pages = "223--235"
}
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Author = "J.J. Dongarra and A. Sameh and D. Sorensen",
Year = 1986,
Title = "Implementation of Some Concurrent Algorithms for Matrix
Factorization",
Journal = ParComputing,
Volume = 3,
Pages = "25--34"
}
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Author = "J.J. Dongarra and D.C. Sorensen",
Year = 1986,
Title = "Linear Algebra on High Performance Computers",
Journal = ApplMathComp,
Volume = 20,
Pages = "57--88"
}
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Author = "J.J. Dongarra and D.C. Sorensen",
Year = 1987,
Title = "A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem",
Journal = SIAMSciStat,
Volume = 8,
Pages = "s139-s154"
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@Article{ DonS87b,
Author = "J.J. Dongarra and D.C. Sorensen",
Year = 1987,
Title = "A Portable Environment for Developing Parallel Programs",
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Volume = 5,
Pages = "175--186"
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Editor = "I.S. Duff and G.W. Stewart",
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Address = "Philadelphia, PA"
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Author = "I.S. Duff and A.M. Erisman and J.K. Reid",
Year = 1986,
Title = "Direct Methods for Sparse Matrices",
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Author = "P.J. Eberlein",
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Author = "P.J. Eberlein",
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Address = "Philadelphia"
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Author = "S.C. Eisenstat",
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Volume = 2,
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Author = "S.C Eisenstat and M.T. Heath and C.S. Henkel and C.H. Romine",
Year = 1988,
Title = "Modified Cyclic Algorithms for Solving Triangular Systems on
Distributed Memory Multiprocessors",
Journal = SIAMSciStat,
Volume = 9,
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Author = "L. Eld{\`e}n",
Year = 1977,
Title = "Algorithms for the Regularization of Ill-Conditioned Least Squares
Problems",
Journal = BIT,
Volume = 17,
Pages = "134--145"
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Author = "L. Eld{\`e}n",
Year = 1977,
Title = "Numerical Analysis of Regularization and Constrained Least Square
Methods",
Number = 20,
School = "Linkoping Studies in Science and Technology",
Address = "Linkoping, Sweden"
}
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Author = "L. Eld{\`e}n",
Year = 1980,
Title = "Perturbation Theory for the Least Squares Problem with Linear
Equality Constraints",
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Volume = 17,
Pages = "338--350"
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Author = "L. Eld{\`e}n",
Year = 1983,
Title = "A Weighted Pseudoinverse, Generalized Singular Values, and
Constrained Least Squares Problems",
Journal = BIT,
Volume = 22,
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Author = "L. Eld{\`e}n",
Year = 1984,
Title = "An Algorithm for the Regularization of Ill-Conditioned, Banded
Least Squares Problems",
Journal = SIAMSciStat,
Volume = 5,
Pages = "237--254"
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Author = "L. Eld{\`e}n",
Year = 1985,
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"
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Author = "L. Eld{\`e}n",
Year = 1988,
Title = "A Parallel {QR} Decomposition Algorithm",
Number = "LiTh Mat R 1988-02",
Institution = "Mathematics, Linkoping University",
Address = "Sweden"
}
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Author = "L. Eld{\`e}n and R. Schreiber",
Year = 1986,
Title = "An Application of Systolic Arrays to Linear Discrete Ill-Posed
Problems",
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Volume = 7,
Pages = "892--903"
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Author = "H. Elman",
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Author = "L. Elsner and Guang Sun, J.",
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Author = "A. Elster and A.P. Reeves",
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Applications, Vol. {II}, Applications",
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Publisher = ACMPress,
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Author = "G.E. Forsythe and C.B. Moler",
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Author = "L.V. Foster",
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Editor = "G. Fox",
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Address = "New York"
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Author = "G. Fox and S.W. Otto and A.J. Hey",
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Author = "G. Fox and M. Johnson and G. Lyzenga and S. Otto and J. Salmon
and D. Walker",
Year = 1988,
Title = "On Concurrent Processors Vol {I}: General Techniques and Regular
Problems",
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Address = "Englewood Cliffs, NJ"
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Author = "S. Friedland",
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Author = "S. Friedland",
Year = 1977,
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Author = "S. Friedland and J. Nocedal and M.L. Overton",
Year = 1987,
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Eigenvalue Problems",
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Volume = 24,
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Author = "C.E. Froberg",
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Author = "R.E. Funderlic and A. Geist",
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Problems",
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Volume = 77,
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Author = "R.E. Funderlic and M. Neuman and R.J. Plemmons",
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Author = "G. Galimberti and V. Pereyra",
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Author = "G. Galimberti and V. Pereyra",
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Author = "K. Gallivan and W. Jalby and U. Meier",
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Author = "K. Gallivan and W. Jalby and U. Meier and A.H. Sameh",
Year = 1988,
Title = "Impact of Hierarchical Memory Systems on Linear Algebra Algorithm
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Author = "W. Gander",
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Author = "D. Gannon and Van Rosendale, J.",
Year = 1984,
Title = "On the Impact of Communication Complexity on the Design of
Parallel Numerical Algorithms",
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Volume = "C-33",
Pages = "1180--1194"
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Author = "F.R. Gantmacher",
Year = 1959,
Title = "The Theory of Matrices",
Publisher = Chelsea,
Address = "New York",
Volume = 1,
}
@Book{ Gan59b,
Author = "F.R. Gantmacher",
Year = 1959,
Title = "The Theory of Matrices",
Publisher = Chelsea,
Address = "New York",
Volume = 2,
}
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Author = "B.S. Garbow and J.M. Boyle and J.J. Dongarra and C.B. Moler",
Year = 1972,
Title = "Matrix Eigensystem Routines: {EISPACK} Guide Extension",
Publisher = Springer,
Address = "New York"
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Author = "W. Gautschi",
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Title = "Norm Estimates for Inverses of {V}andermonde Matrices",
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Author = "W. Gautschi",
Year = 1975,
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Volume = 24,
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Author = "G.A. Geist and M.T. Heath",
Year = 1985,
Title = "Parallel {C}holesky Factorization on a Hypercube Multiprocessor",
Number = "ORNL 6190",
Institution = "Oak Ridge Laboratory",
Address = "Oak Ridge, TN"
}
@InCollection{ GeiH86,
Author = "G.A. Geist and M.T. Heath",
Year = 1986,
Title = "Matrix Factorization on a Hypercube",
BookTitle = "Hypercube Multiprocessors",
Editor = "M.T. Heath",
Publisher = SIAMPub,
Pages = "161--180"
}
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Author = "G.A. Geist and R.C. Ward and G.J. Davis and R.E. Funderlic",
Year = 1988,
Title = "Finding Eigenvalues and Eigenvectors of Unsymmetric Matrices Using
a Hypercube Multiprocessor",
BookTitle = "The Third Conference on Hypercube Concurrent Computers and
Applications, Vol. {II}, Applications",
Editor = "G. Fox",
Publisher = ACMPress,
Address = "New York",
Pages = "1577--1582"
}
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Author = "W.M. Gentleman",
Year = 1973,
Title = "Error Analysis of {QR} Decompositions by {G}ivens Transformations",
Journal = LinAlgApp,
Volume = 10,
Pages = "189--197"
}
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Author = "W.M. Gentleman",
Year = 1973,
Title = "Least Squares Computations by {G}ivens Transformations Without
Square Roots",
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Volume = 12,
Pages = "329--336"
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Author = "W.M. Gentleman and H.T. Kung",
Year = 1982,
Title = "Matrix Triangularization by Systolic Arrays",
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Volume = 298,
Pages = "19--26"
}
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Author = "J.A. George",
Year = 1973,
Title = "Nested Dissection of a Regular Finite Element Mesh",
Journal = SIAMNumAnal,
Volume = 10,
Pages = "345--363"
}
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Author = "J.A. George",
Year = 1974,
Title = "On Block Elimination for Sparse Linear Systems",
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Volume = 11,
Pages = "585--603"
}
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Author = "J.A. George and M.T. Heath",
Year = 1980,
Title = "Solution of Sparse Linear Least Squares Problems Using {G}ivens
Rotations",
Journal = LinAlgApp,
Volume = 34,
Pages = "69--83"
}
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Author = "J.A. George and M.T. Heath and J. Liu",
Year = 1986,
Title = "Parallel {C}holesky Factorization on a Shared Memory
Multiprocessor",
Journal = LinAlgApp,
Volume = 77,
Pages = "165--187"
}
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Author = "J.A. George and J.W. Liu",
Year = 1981,
Title = "Computer Solution of Large Sparse Positive Definite Systems",
Publisher = PrenticeHall,
Address = "Englewood Cliffs, NJ"
}
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Author = "N.E. Gibbs and W.G. Poole, Jr",
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Title = "Tridiagonalization by Permutations",
Journal = CACM,
Volume = 17,
Pages = "20--24"
}
@Article{ GibPS76b,
Author = "N.E. Gibbs and W.G. Poole and P.K. Stockmeyer",
Year = 1976,
Title = "A Comparison of Several Bandwidth and Profile Reduction Algorithms",
Journal = ACMMathSoft,
Volume = 2,
Pages = "322--330"
}
@Article{ GibPS76a,
Author = "N.E. Gibbs and W.G. Poole and P.K. Stockmeyer",
Year = 1976,
Title = "An Algorithm for Reducing the Bandwidth and Profile of a Sparse
Matrix",
Journal = SIAMNumAnal,
Volume = 13,
Pages = "236--250"
}
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Author = "P.E. Gill and G.H. Golub and W. Murray and M.A. Saunders",
Year = 1974,
Title = "Methods for Modifying Matrix Factorizations",
Journal = MathComp,
Volume = 28,
Pages = "505--535"
}
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Author = "P.E. Gill and W. Murray",
Year = 1976,
Title = "The Orthogonal Factorization of a Large Sparse Matrix",
BookTitle = "Sparse Matrix Computations",
Editor = "J.R. Bunch and D.J. Rose",
Publisher = Academic,
Address = "New York",
Pages = "177--200"
}
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Author = "P.E. Gill and W. Murray and M.A. Saunders",
Year = 1975,
Title = "Methods for Computing and Modifying the {LDV} Factors of a Matrix",
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Volume = 29,
Pages = "1051--1077"
}
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Author = "T. Ginsburg",
Year = 1971,
Title = "The Conjugate Gradient Method",
BookTitle = "Handbook for Automatic Computation Vol. 2: Linear Algebra",
Editor = "J.H. Wilkinson and C. Reinsch",
Publisher = Springer,
Address = "New York",
Pages = "57--69"
}
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Author = "W. Givens",
Year = 1958,
Title = "Computation of Plane Unitary Rotations Transforming a General
Matrix to Triangular Form",
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Pages = "26--50"
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Author = "I.C. Gohberg and M.G. Krein",
Year = 1969,
Title = "Introduction to the Theory of Linear Non-Self-Adjoint Operators",
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Address = "Providence, RI"
}
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Author = "I.C. Gohberg and P. Lancaster and L. Rodman",
Year = 1986,
Title = "Invariant Subspaces of Matrices With Applications",
Publisher = JohnWileySons,
Address = "New York"
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Author = "H.H. Goldstine and L.P. Horowitz",
Year = 1959,
Title = "A Procedure for the Diagonalization of Normal Matrices",
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Volume = 6,
Pages = "176--195"
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Author = "D. Goldfarb",
Year = 1976,
Title = "Factorized Variable Metric Methods for Unconstrained Optimization",
Journal = MathComp,
Volume = 30,
Pages = "796--811"
}
@Article{ Gol65,
Author = "G.H. Golub",
Year = 1965,
Title = "Numerical Methods for Solving Linear Least Squares Problems",
Journal = NumerMath,
Volume = 7,
Pages = "206--216"
}
@InCollection{ Gol69,
Author = "G.H. Golub",
Year = 1969,
Title = "Matrix Decompositions and Statistical Computation",
BookTitle = "Statistical Computation",
Editor = "R.C. Milton and J.A. Nelder",
Publisher = Academic,
Address = "New York",
Pages = "365--397"
}
@Article{ Gol73,
Author = "G.H. Golub",
Year = 1973,
Title = "Some Modified Matrix Eigenvalue Problems",
Journal = SIAMReview,
Volume = 15,
Pages = "318--344"
}
@InCollection{ Gol74,
Author = "G.H. Golub",
Year = 1974,
Title = "Some Uses of the {L}anczos Algorithm in Numerical Linear Algebra",
BookTitle = "Topics in Numerical Analysis",
Editor = "J.J.H. Miller",
Publisher = Academic,
Address = "New York"
}
@Article{ GolHW79,
Author = "G.H. Golub and M. Heath and G. Wahba",
Year = 1979,
Title = "Generalized Cross-Validation as a Method for Choosing a Good Ridge
Parameter",
Journal = Techno,
Volume = 21,
Pages = "215--223"
}
@Article{ GolHS88,
Author = "G.H. Golub and A. Hoffman and G.W. Stewart",
Year = 1988,
Title = "A Generalization of the {E}ckart-{Y}oung-{M}irsky
Approximation Theorem",
Journal = LinAlgApp,
Volume = "88/89",
Pages = "317--328"
}
@Article{ GolK65,
Author = "G.H. Golub and W. Kahan",
Year = 1965,
Title = "Calculating the Singular Values and Pseudo-Inverse of a Matrix",
Journal = JSIAMB,
Volume = 2,
Pages = "205--224"
}
@TechReport{ GolKS76,
Author = "G.H. Golub and V. Klema and G.W. Stewart",
Year = 1976,
Title = "Rank Degeneracy and Least Squares Problems",
Number = "TR-456",
Institution = "Computer Science, University of Maryland",
Address = "College Park, MD"
}
@Article{ GolLO81,
Author = "G.H. Golub and F.T. Luk and M. Overton",
Year = 1981,
Title = "A Block {L}anczos Method for Computing the Singular Values and
Corresponding Singular Vectors of a Matrix",
Journal = ACMMathSoft,
Volume = 7,
Pages = "149--169"
}
@Book{ GolM83,
Author = "G.H. Golub and G. Meurant",
Year = 1983,
Title = "R{\'e}solution Num{\'e}rique des Grands Syst{\`e}mes Lin{\'e}aires",
Series = "Collection de la Direction des Etudes et Recherches de
l'Electricit\'e de France",
Volume = 49,
Publisher = Eyolles,
Address = "Paris"
}
@Article{ GolM86,
Author = "G.H. Golub and C.D. Meyer",
Year = 1986,
Title = "Using the {QR} Factorization and Group Inversion to Compute,
Differentiate, and estimate the Sensitivity of Stationary
Probabilities for {M}arkov Chains",
Journal = SIAMAlgMeth,
Volume = 7,
Pages = "273--281"
}
@Article{ GolNL79,
Author = "G.H. Golub and S. Nash and Van Loan, C.",
Year = 1979,
Title = "A {H}essenberg-{S}chur Method for the Matrix Problem
{$AX + XB = C$}",
Journal = IEEETransAC,
Volume = "AC-24",
Pages = "909--913"
}
@Article{ GolO88,
Author = "G.H. Golub and M. Overton",
Year = 1988,
Title = "The Convergence of Inexact {C}hebychev and {R}ichardson Iterative
Methods for Solving Linear Systems",
Journal = NumerMath,
Volume = 53,
Pages = "571--594"
}
@Article{ GolP73,
Author = "G.H. Golub and V. Pereyra",
Year = 1973,
Title = "The Differentiation of Pseudo-Inverses and Nonlinear Least Squares
Problems Whose Variables Separate",
Journal = SIAMNumAnal,
Volume = 10,
Pages = "413--432"
}
@InCollection{ GolP76,
Author = "G.H. Golub and V. Pereyra",
Year = 1976,
Title = "Differentiation of Pseudo-Inverses, Separable Nonlinear Least
Squares Problems and Other Tales",
BookTitle = "Generalized Inverses and Applications",
Editor = "M.Z. Nashed",
Publisher = Academic,
Address = "New York",
Pages = "303--324"
}
@Article{ GolR70,
Author = "G.H. Golub and C. Reinsch",
Year = 1970,
Title = "Singular Value Decomposition and Least Squares Solutions",
Journal = NumerMath,
Volume = 14,
Pages = "403-420",
Note = "Also in \cite[pages 134--151]{WilR71}"
}
@Article{ GolT81,
Author = "G.H. Golub and W.P. Tang",
Year = 1981,
Title = "The Block Decomposition of a {V}andermonde Matrix and Its
Applications",
Journal = BIT,
Volume = 21,
Pages = "505--517"
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Author = "G.H. Golub and R. Underwood",
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Author = "G.H. Golub and R. Underwood",
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Editor = "J. Rice",
Publisher = Academic,
Address = "New York",
Pages = "364--377"
}
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Author = "G.H. Golub and R. Underwood and J.H. Wilkinson",
Year = 1972,
Title = "The {L}anczos Algorithm for the Symmetric
{$Ax = \lambda Bx$} Problem",
Number = "STAN-CS-72-270",
Institution = "Computer Science, Stanford University",
Address = "Stanford, CA"
}
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Author = "G.H. Golub and Van Loan, C.F.",
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Title = "Unsymmetric Positive Definite Linear Systems",
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Author = "G.H. Golub and Van Loan, C.F.",
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Author = "A. Greenbaum",
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Author = "N.J. Higham",
Year = 1985,
Title = "Nearness Problems in Numerical Linear Algebra",
School = "University of Manchester",
Address = "England"
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Author = "N.J. Higham",
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Volume = 46,
Pages = "537--550"
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Author = "N.J. Higham",
Year = 1986,
Title = "Computing the Polar Decomposition with Applications",
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Volume = 7,
Pages = "1160--1174"
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Author = "N.J. Higham",
Year = 1986,
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tridiagonal matrix",
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Volume = 7,
Pages = "150--165"
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Author = "N.J. Higham",
Year = 1987,
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Volume = 29,
Pages = "575--596"
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Author = "N.J. Higham",
Year = 1987,
Title = "Error Analysis of the {B}j{\"o}rck-{P}ereyra Algorithms for Solving
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Volume = 50,
Pages = "613--632"
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Author = "N.J. Higham",
Year = 1987,
Title = "Computing Real Square Roots of a Real Matrix",
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Volume = "88/89",
Pages = "405--430"
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Author = "N.J. Higham",
Year = 1988,
Title = "Matrix Nearness Problems and Applications",
Number = 161,
Institution = "Mathematics, University of Manchester",
Address = "England",
Note = "To appear in Proceedings of the IMA Conference on Applications of Matrix Theory, eds. S. Barnett and M.J.C. Gover"
}
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Author = "N.J. Higham",
Year = 1988,
Title = "{F}ortran Codes for Estimating the One-Norm of a Real or Complex
Matrix, with Applications to Condition Estimation",
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Volume = 14,
Pages = "381--396"
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Author = "N.J. Higham",
Year = 1988,
Title = "The Symmetric {P}rocrustes Problem",
Journal = BIT,
Volume = 28,
Pages = "133--143"
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Author = "N.J. Higham",
Year = 1988,
Title = "Fast Solution of {V}andermonde-like Systems Involving Orthogonal
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Volume = 8,
Pages = "473--486"
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Author = "N.J. Higham",
Year = 1988,
Title = "Computing a Nearest Symmetric Positive Semidefinite Matrix",
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Volume = 103,
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Author = "N.J. Higham",
Year = 1988,
Title = "The Accuracy of Solutions to Triangular Systems",
Number = 158,
Institution = "Mathematics, University of Manchester",
Address = "England"
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Author = "N.J. Higham",
Year = 1989,
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Editor = "M.G. Cox and S.J. Hammarling",
Publisher = OxfordPress
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Author = "N.J. Higham and D.J. Higham",
Year = 1989,
Title = "Large Growth Factors in {G}aussian Elimination with Pivoting",
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Volume = 10,
Pages = "155--164"
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Author = "N.J. Higham and R.S. Schreiber",
Year = 1988,
Title = "Fast Polar Decomposition of an Arbitrary Matrix",
Number = "88-942",
Institution = "Computer Science, Cornell University",
Address = "Ithaca, NY 14853"
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Author = "A. Jennings",
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Author = "S.L. Johnsson",
Year = 1984,
Title = "Odd-Even Cyclic Reduction on Ensemble Architectures and the
Solution of Tridiagonal Systems of Equations",
Number = "YALEU DCS RR-339",
Institution = "Computer Science, Yale University",
Address = "New Haven, CT"
}
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Author = "S.L. Johnsson",
Year = 1986,
Title = "Band Matrix System Solvers on Ensemble Architectures",
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Editor = "F.A. Matsen and T. Tajima",
Publisher = TexasPress,
Address = "Austin, TX",
Pages = "196--216"
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Author = "S.L. Johnsson",
Year = 1987,
Title = "Solving Tridiagonal Systems on Ensemble Architectures",
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Volume = 8,
Pages = "354--392"
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Author = "S.L. Johnsson",
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Hypercube Multiprocessors",
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Volume = 4,
Pages = "133--172"
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Author = "S.L. Johnsson and C.T. Ho",
Year = 1987,
Title = "Multiple Tridiagonal Systems, the Alternating Direction Methods,
and {B}oolean Cube Configured Multiprocessors",
Number = "YALEU DCS RR-532",
Institution = "Computer Science, Yale University",
Address = "New Haven, CT"
}
@TechReport{ JohH87,
Author = "S.L. Johnsson and C.T. Ho",
Year = 1987,
Title = "Algorithms for Multiplying Matrices of Arbitrary Shapes Using
Shared Memory Primatives on a {B}oolean Cube",
Number = "YALEU DCS RR-569",
Institution = "Computer Science, Yale University",
Address = "New Haven, CT"
}
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Author = "S.L. Johnsson and C.T. Ho",
Year = 1988,
Title = "Algorithms for Matrix Transposition on {B}oolean {$N$}-Cube
Configured Ensemble Architectures",
Journal = SIAMMatrix,
Volume = 9,
Pages = "419--454"
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Title = "Interpreting Parallel Processor Performance Measurements",
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Volume = 8,
Pages = "s220--s226"
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Author = "T. Jordan",
Year = 1984,
Title = "Conjugate Gradient Preconditioners for Vector and Parallel
Processors",
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Editor = "G. Birkoff and A. Schoenstadt",
Publisher = Academic,
Address = "New York"
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Author = "B. K{\aa}gstr{\"o}m",
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Author = "B. K{\aa}gstr{\"o}m",
Year = 1977,
Title = "Numerical Computation of Matrix Functions",
Number = "UMINF-58.77",
Institution = "Information Processing, University of Ume{\aa}",
Address = "Ume{\aa}, Sweden"
}
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Author = "B. K{\aa}gstr{\"o}m and A. Ruhe",
Year = 1980,
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Volume = 6,
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Author = "B. K{\aa}gstr{\"o}m and A. Ruhe",
Year = 1980,
Title = "Algorithm~560~{JNF}: An Algorithm for Numerical Computation of the
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Author = "B. K{\aa}gstr{\"o}m",
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Author = "B. K{\aa}gstr{\"o}m and P. Ling",
Year = 1988,
Title = "Level 2 and 3 {BLAS} Routines for the {IBM 3090 VF/400}:
Implementation and Experiences",
Number = "UMINF-154.88",
Institution = "Information Processing, University of Ume{\aa}",
Address = "S-901 87 Ume{\aa}, Sweden"
}
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Author = "B. K{\aa}gstr{\"o}m and L. Nystr{\"o}m and P. Poromaa",
Year = 1987,
Title = "Parallel Algorithms for Solving the Triangular {S}ylvester Equation
on a Hypercube Multiprocessor",
Number = "UMINF-136.87",
Institution = "Information Processing, University of Ume{\aa}",
Address = "S-901 87 Ume{\aa}, Sweden"
}
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Author = "B. K{\aa}gstr{\"o}m and L. Nystr{\"o}m and P. Poromaa",
Year = 1988,
Title = "Parallel Shared Memory Algorithms for Solving the Triangular
{S}ylvester Equation",
Number = "UMINF-155.88",
Institution = "Information Processing, University of Ume{\aa}",
Address = "S-901 87 Ume{\aa}, Sweden"
}
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Editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
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Title = "Proceedings of the Conference on Matrix Pencils,
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Publisher = Springer,
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Author = "B. K{\aa}gstr{\"o}m and L. Westin",
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Title = "{GSYLV}- {F}ortran Routines for the Generalized {S}chur Method with
dif$^{-1}$ estimators for Solving the Generalized {S}ylvester
Equation",
Number = "UMINF-132.86",
Institution = "Information Processing, University of Ume{\aa}",
Address = "S-901 87 Ume{\aa}, Sweden"
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Editor = "G. Roderigue",
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Editor = "D.J. Rose and R.A. Willoughby",
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Author = "G. Roderigue and D. Wolitzer",
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Editor = "G. Roderigue",
Year = 1982,
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Author = "A. Ruhe",
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Author = "A. Ruhe",
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Author = "A. Ruhe",
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Author = "A. Ruhe",
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Author = "A. Ruhe and T. Wiberg",
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Author = " Y. Saad and M.H. Schultz",
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Number = "YALEU DCS RR-428",
Institution = "Computer Science, Yale University",
Address = "New Haven, CT"
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Author = " Y. Saad and M.H. Schultz",
Year = 1985,
Title = "Topological Properties of Hypercubes",
Number = "YALEU DCS RR-389",
Institution = "Computer Science, Yale University",
Address = "New Haven, CT"
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Author = "W. Sch{\"o}nauer",
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Author = "D.S. Scott",
Year = 1978,
Title = "Analysis of the Symmetric {L}anczos Process",
Number = "M78/40",
Institution = "UCB-ERL, University of California, Berkeley",
Address = "Berkeley, CA"
}
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Author = "D.S. Scott",
Year = 1979,
Title = "Block {L}anczos Software for Symmetric Eigenvalue Problems",
Number = "ORNL/CSD-48",
Institution = "Oak Ridge National Laboratory",
Address = "Oak Ridge, TN"
}
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Author = "D.S. Scott",
Year = 1979,
Title = "How to Make the {L}anczos Algorithm Converge Slowly",
Journal = MathComp,
Volume = 33,
Pages = "239--247"
}
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Author = "D.S. Scott",
Year = 1984,
Title = "Computing a Few Eigenvalues and Eigenvectors of a Symmetric Band
Matrix",
Journal = SIAMSciStat,
Volume = 5,
Pages = "658--666"
}
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Author = "D.S. Scott",
Year = 1985,
Title = "On the Accuracy of the {G}ershgorin Circle Theorem for Bounding the
Spread of a Real Symmetric Matrix",
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Volume = 65,
Pages = "147--155"
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Author = "D.S. Scott and M.T. Heath and R.C. Ward",
Year = 1986,
Title = "Parallel Block {J}acobi Eigenvalue Algorithms Using Systolic
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Volume = 77,
Pages = "345--356"
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Author = "M.K. Seager",
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Author = "J.J. Seaton",
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Author = "S. Serbin and S. Blalock",
Year = 1979,
Title = "An Algorithm for Computing the Matrix Cosine",
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Volume = 1,
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}
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Author = "J.W. Sheldon",
Year = 1955,
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Author = "G. Shroff and R. Schreiber",
Year = 1987,
Title = "Convergence of Block {J}acobi Methods",
Number = "87-25",
Institution = "Computer Science, Rensselaer Polytechnic Institute",
Address = "Troy, NY"
}
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Author = "H. Simon",
Year = 1984,
Title = "Analysis of the Symmetric {L}anczos Algorithm with
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Author = "B. Singer and S. Spilerman",
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Author = "R.D. Skeel",
Year = 1979,
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Volume = 26,
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Author = "R.D. Skeel",
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Title = "Iterative Refinement Implies Numerical Stability for {G}aussian
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Volume = 35,
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Author = "R.D. Skeel",
Year = 1981,
Title = "Effect of Equilibration on Residual Size for Partial Pivoting",
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Volume = 18,
Pages = "449--455"
}
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Author = "B.T. Smith and J.M. Boyle and Y. Ikebe and V.C. Klema and
C.B. Moler",
Year = 1970,
Title = "Matrix Eigensystem Routines: {EISPACK} Guide",
Edition = "second",
Publisher = Springer,
Address = "New York, NY",
}
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Author = "R.A. Smith",
Year = 1967,
Title = "The Condition Numbers of the Matrix Eigenvalue Problem",
Journal = NumerMath,
Volume = 10,
Pages = "232--240"
}
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Author = "F. Smithies",
Year = 1970,
Title = "Integral Equations",
Publisher = CambridgePress,
Address = "Cambridge, England"
}
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Author = "D. Sorensen",
Year = 1985,
Title = "Analysis of Pairwise Pivoting in {G}aussian Elimination",
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Volume = "C-34",
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}
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Author = "D. Stevenson",
Year = 1981,
Title = "A Proposed Standard for Binary Floating Point Arithmetic",
Journal = Computer,
Volume = 14,
Month = mar,
Pages = "51--62"
}
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Author = "G.W. Stewart",
Year = 1969,
Title = "Accelerating the Orthogonal Iteration for the Eigenvectors of a
{H}ermitian Matrix",
Journal = NumerMath,
Volume = 13,
Pages = "362--376"
}
@Article{ Ste70,
Author = "G.W. Stewart",
Year = 1970,
Title = "Incorporating Origin Shifts into the {QR} Algorithm for Symmetric
Tridiagonal Matrices",
Journal = CACM,
Volume = 13,
Pages = "365--367"
}
@Article{ Ste71,
Author = "G.W. Stewart",
Year = 1971,
Title = "Error Bounds for Approximate Invariant Subspaces of Closed Linear
Operators",
Journal = SIAMNumAnal,
Volume = 8,
Pages = "796--808"
}
@Article{ Ste72,
Author = "G.W. Stewart",
Year = 1972,
Title = "On the Sensitivity of the Eigenvalue Problem {$Ax = \lambda Bx$}",
Journal = SIAMNumAnal,
Volume = 9,
Pages = "669--686"
}
@Article{ Ste73a,
Author = "G.W. Stewart",
Year = 1973,
Title = "Conjugate Direction Methods for Solving Systems of Linear Equations",
Journal = NumerMath,
Volume = 21,
Pages = "284--297"
}
@Article{ Ste73b,
Author = "G.W. Stewart",
Year = 1973,
Title = "Error and Perturbation Bounds for Subspaces Associated with
Certain Eigenvalue Problems",
Journal = SIAMReview,
Volume = 15,
Pages = "727--764"
}
@Book{ Ste73c,
Author = "G.W. Stewart",
Year = 1973,
Title = "Introduction to Matrix Computations",
Publisher = Academic,
Address = "New York, NY"
}
@InProceedings{ Ste74,
Author = "G.W. Stewart",
Year = 1974,
Title = "The Numerical Treatment of Large Eigenvalue Problems",
BookTitle = "Proceedings {IFIP} Congress 74",
Publisher = NorthHolland,
Pages = "666--672"
}
@Article{ Ste75a,
Author = "G.W. Stewart",
Year = 1975,
Title = "The Convergence of the Method of Conjugate Gradients at Isolated
Extreme Points in the Spectrum",
Journal = NumerMath,
Volume = 24,
Pages = "85--93"
}
@Article{ Ste75b,
Author = "G.W. Stewart",
Year = 1975,
Title = "{G}ershgorin Theory for the Generalized Eigenvalue Problem
{$Ax = \lambda Bx$}",
Journal = MathComp,
Volume = 29,
Pages = "600--606"
}
@InCollection{ Ste75c,
Author = "G.W. Stewart",
Year = 1975,
Title = "Methods of Simultaneous Iteration for Calculating Eigenvectors of
Matrices",
BookTitle = "Topics in Numerical Analysis {II}",
Editor = "J.H. Miller",
Publisher = Academic,
Address = "New York",
Pages = "185--196"
}
@Article{ Ste76a,
Author = "G.W. Stewart",
Year = 1976,
Title = "Algorithm~406 {HQR3 and~EXCHNG}: {F}ortran Subroutines for
Calculating and Ordering and Eigenvalues of a Real Upper
{H}essenberg Matrix",
Journal = ACMMathSoft,
Volume = 2,
Pages = "275--280"
}
@InCollection{ Ste76b,
Author = "G.W. Stewart",
Year = 1976,
Title = "A Bibliographical Tour of the Large Sparse Generalized Eigenvalue
Problem",
BookTitle = "Sparse Matrix Computations",
Editor = "J.R. Bunch and D.J. Rose",
Publisher = Academic,
Address = "New York"
}
@Article{ Ste76c,
Author = "G.W. Stewart",
Year = 1976,
Title = "The Economical Storage of Plane Rotations",
Journal = NumerMath,
Volume = 25,
Pages = "137--138"
}
@Article{ Ste76d,
Author = "G.W. Stewart",
Year = 1976,
Title = "Simultaneous Iteration for Computing Invariant Subspaces of
Non-{H}ermitian Matrices",
Journal = NumerMath,
Volume = 25,
Pages = "12--36"
}
@Article{ Ste77a,
Author = "G.W. Stewart",
Year = 1977,
Title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear
Least Squares Problems",
Journal = SIAMReview,
Volume = 19,
Pages = "634--662"
}
@Article{ Ste77b,
Author = "G.W. Stewart",
Year = 1977,
Title = "Perturbation Bounds for the {QR} Factorization of a Matrix",
Journal = SIAMNumAnal,
Volume = 14,
Pages = "509--518"
}
@TechReport{ Ste77c,
Author = "G.W. Stewart",
Year = 1977,
Title = "Sensitivity Coefficients for the Effects of Errors in the
Independent Variables in a Linear Regression",
Number = "TR-571",
Institution = "Computer Science, University of Maryland",
Address = "College Park, MD"
}
@InCollection{ Ste78,
Author = "G.W. Stewart",
Year = 1978,
Title = "Perturbation Theory for the Generalized Eigenvalue Problem",
BookTitle = "Recent Advances in Numerical Analysis",
Editor = "de Boor, C. and G.H. Golub",
Publisher = Academic,
Address = "New York"
}
@Article{ Ste79b,
Author = "G.W. Stewart",
Year = 1979,
Title = "A Note on the Perturbation of Singular Values",
Journal = LinAlgApp,
Volume = 28,
Pages = "213--216"
}
@Article{ Ste79c,
Author = "G.W. Stewart",
Year = 1979,
Title = "Perturbation Bounds for the Definite Generalized Eigenvalue
Problem",
Journal = LinAlgApp,
Volume = 23,
Pages = "69--86"
}
@Article{ Ste79a,
Author = "G.W. Stewart",
Year = 1979,
Title = "The Effects of Rounding Error on an Algorithm for Downdating a
{C}holesky Factorization",
Journal = InstMathApp,
Volume = 23,
Pages = "203--213"
}
@Article{ Ste80,
Author = "G.W. Stewart",
Year = 1980,
Title = "The Efficient Generation of Random Orthogonal Matrices with an
Application to Condition Estimators",
Journal = SIAMNumAnal,
Volume = 17,
Pages = "403--409"
}
@Article{ Ste81b,
Author = "G.W. Stewart",
Year = 1981,
Title = "On the Implicit Deflation of Nearly Singular Systems of Linear
Equations",
Journal = SIAMSciStat,
Volume = 2,
Pages = "136--140"
}
@InCollection{ Ste83,
Author = "G.W. Stewart",
Year = 1983,
Title = "A Method for Computing the Generalized Singular Value
Decomposition",
BookTitle = "Matrix Pencils",
Editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
Publisher = Springer,
Address = "New York",
Pages = "207--220"
}
@Article{ Ste84c,
Author = "G.W. Stewart",
Year = 1984,
Title = "Rank Degeneracy",
Journal = SIAMSciStat,
Volume = 5,
Pages = "403--413"
}
@Article{ Ste84a,
Author = "G.W. Stewart",
Year = 1984,
Title = "On the Asymptotic Behavior of Scaled Singular Value and {QR}
Decompositions",
Journal = MathComp,
Volume = 43,
Pages = "483--490"
}
@Article{ Ste84d,
Author = "G.W. Stewart",
Year = 1984,
Title = "A Second Order Perturbation Expansion for Small Singular Values",
Journal = LinAlgApp,
Volume = 56,
Pages = "231--236"
}
@Article{ Ste84b,
Author = "G.W. Stewart",
Year = 1984,
Title = "On the Invariance of Perturbed Null Vectors Under Column Scaling",
Journal = NumerMath,
Volume = "33,34",
Pages = "61--66"
}
@Article{ Ste85,
Author = "G.W. Stewart",
Year = 1985,
Title = "A {J}acobi-Like Algorithm for Computing the {S}chur Decomposition
of a Nonhermitian Matrix",
Journal = SIAMSciStat,
Volume = 6,
Pages = "853--862"
}
@Article{ Ste87,
Author = "G.W. Stewart",
Year = 1987,
Title = "Collinearity and Least Squares Regression",
Journal = StatScience,
Volume = 2,
Pages = "68--100"
}
@Article{ Sto73,
Author = "H.S. Stone",
Year = 1973,
Title = "An Efficient Parallel Algorithm for the Solution of a Tridiagonal
Linear System of Equations",
Journal = JACM,
Volume = 20,
Pages = "27--38"
}
@Article{ Sto75b,
Author = "H.S. Stone",
Year = 1975,
Title = "Parallel Tridiagonal Equation Solvers",
Journal = ACMMathSoft,
Volume = 1,
Pages = "289--307"
}
@Book{ Str88,
Author = "G. Strang",
Year = 1988,
Title = "Linear Algebra and Its Applications",
Edition = "third",
Publisher = Academic,
Address = "New York"
}
@Article{ Sto75a,
Author = "H. Stone",
Year = 1975,
Title = "Parallel Tridiagonal Equation Solvers",
Journal = ACMMathSoft,
Volume = 1,
Pages = "289--307"
}
@Article{ Str69,
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Year = 1980,
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Pages = "159--194"
}
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Author = "S. Zohar",
Year = 1969,
Title = "{T}oeplitz Matrix Inversion: The Algorithm of {W}.{F}. {T}rench",
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Pages = "592--601"
}