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The Resource Handbook of linear algebra, edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias

Handbook of linear algebra, edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias

Label
Handbook of linear algebra
Title
Handbook of linear algebra
Statement of responsibility
edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias
Contributor
Subject
Language
eng
Summary
"The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessible layout of parts, chapters, and sections, with each section containing definition, fact, and example segments. The five main parts of the book encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, applications of linear algebra to various mathematical and nonmathematical disciplines, and software packages for linear algebra computations. Within each section, the facts (or theorems) are presented in a list format and include references for each fact to encourage further reading, while the examples illustrate both the definitions and the facts. Linearization often enables difficult problems to be estimated by more manageable linear ones, making the Handbook of Linear Algebra essential reading for professionals who deal with an assortment of mathematical problems."--Publisher's website
Member of
Cataloging source
DLC
Dewey number
512/.5
Illustrations
illustrations
Index
index present
LC call number
QA184.2
LC item number
.H36 2007
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Hogben, Leslie
Series statement
Discrete mathematics and its applications
http://library.link/vocab/subjectName
  • Algebras, Linear
  • Lineaire algebra
Label
Handbook of linear algebra, edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Luz M. DeAlba
  • Inner product spaces, orthogonal projection, least squares and singular value decomposition
  • Lixing Han and Michael Neumann
  • Canonical forms
  • Leslie Hogben
  • Unitary similarity, normal matrices, and spectral theory
  • Helene Shapiro
  • Hermitian and positive definite matrices
  • Wayne Barrett
  • Nonnegative and stochastic matrices
  • I. Linear algebra
  • Uriel G. Rothblum
  • Partitioned matrices
  • Robert Reams
  • Functions of matrices
  • Nicholas J. Higham
  • Quadratic, bilinear and sesquilinear forms
  • Raphael Loewy
  • Multilinear algebra
  • J.A. Dias de Silva and Armando Machado
  • Matrix equalities and inequalities
  • Vectors, matrices and systems of linear equations
  • Michael Tsatsomeros
  • Matrix perturbation theory
  • Ren-Cang Li
  • Pseudospectra
  • Mark Embree
  • Singular values and singular value inequalities
  • Roy Mathias
  • Numerical range
  • Chi-Kwong Li
  • Matrix stability and inertia
  • Jane Day
  • Daniel Hershkowitz
  • Inverse eigenvalue problems
  • Alberto Borobia
  • Totally positive and totally negative matrices
  • Shaun M. Fallat
  • Linear preserver problems
  • Peter Šemrl
  • Matrices over integral domains
  • Shmuel Friedland
  • Similarities of families of matrices
  • Linear independence, span, and bases
  • Shmuel Friedland
  • Max-plus algebra
  • Marianne Akian, Ravindra Bapat, Stéphane Gaubert
  • Matrices leaving a cone invariant
  • Bit-Shun Tam and Hans Schneider
  • Mark Mills
  • Linear transformations
  • Francesco Barioli
  • Determinants and eigenvalues
  • Bryan L. Shader
  • Permanents
  • Ian M. Wanless
  • D-optimal designs
  • Michael G. Neubauer and William Watkins
  • Sign pattern matrices
  • Frank J. Hall and Zhongshan Li
  • Multiplicity lists for the eigenvalues of symmetric matrices with a given graph
  • Charles R. Johnson, António Leal Duarte, and Carlos M. Saiago
  • Matrix completion problems
  • II. Combinatorial matrix theory and graphs
  • Leslie Hogben and Amy Wangsness
  • Algebraic connectivity
  • Steve Kirkland
  • Combinatorial matrix theory
  • Richard A. Brualdi
  • Matrices and graphs
  • Willem H. Haemers
  • Digraphs and matrices
  • Jeffrey L. Stuart
  • Bipartite graphs and matrices
  • Esmond G. Ng
  • Iterative solution methods for linear systems
  • Anne Greenbaum
  • Symmetric matrix eigenvalue techniques
  • Ivan Slapničar
  • Unsymmetric matrix eigenvalue techniques
  • David S. Watkins
  • The implicitly restarted Arnoldi method
  • D.C. Sorensen
  • Computation of the singular value decomposition
  • III. Numerical methods
  • Alan Kaylor Cline and Inderjit S. Dhillon
  • Computing eigenvalues and singular values to high relative accuracy
  • Zlatko Drmač
  • Fast matrix multiplication
  • Dario A. Bini
  • Structured matrix computations
  • Michael Ng
  • Large-scale matrix computations
  • Roland W. Freund
  • Vector and matrix norms, error analysis, efficiency and stability
  • Ralph Byers and Biswa Nath Datta
  • Matrix factorizations, and direct solution of linear systems
  • Christopher Beattie
  • Least squares solution of linear systems
  • Per Christian Hansen and Hans Bruun Nielsen
  • Sparse matrix methods
  • Simo Puntanen, George A.F. Seber, and George P.H. Styan
  • Markov chains
  • Beatrice Meini
  • Differential equations and stability
  • Volker Mehrmann and Tatjana Stykel
  • Dynamical systems and linear algebra
  • Fritz Colonius and Wolfgang Kliemann
  • Control theory
  • Peter Benner
  • Fourier analysis
  • IV. Applications
  • Kenneth Howell
  • Linear algebra and mathematical physics
  • Lorenzo Sadun
  • Linear algebra in biomolecular modeling
  • Zhijun Wu
  • Coding theory
  • Joachim Rosenthal and Paul Weiner
  • Quantum computation
  • Zijian Diao
  • Information retrieval and web search
  • Linear programming
  • Amy Langville and Carl Meyer
  • Signal processing
  • Michael Stewart
  • Geometry
  • Mark Hunacek
  • Some applications of matrices and graphs in Euclidean geometry
  • Miroslav Fiedler
  • Matrix groups
  • Peter J. Cameron
  • Group representations
  • Leonid S. Vaserstein
  • Randall Holmes and T.Y. Tam
  • Nonassociative algebras
  • Murray R. Bremner, Lucia I. Muakami and Ivan P. Shestakov
  • Lie algebras
  • Robert Wilson
  • Semidefinite programming
  • Henry Wolkowicz
  • Random vectors and linear statistical models
  • Simo Puntanen and George P.H. Styan
  • Multivariate statistical analysis
  • Jack Dongarra, Victor Eijkhout, and Julien Langou
  • LAPACK
  • Zhaojun Bai
  • Use of ARPACK and EIGS
  • D.C. Sorensen
  • V. Computational software
  • METLAB
  • Steven J. Leon
  • Linear algebra in Maple
  • David J. Jeffrey and Robert M. Corless
  • Mathematica
  • Heikki Ruskeepää
  • BLAS
Control code
67405699
Dimensions
27 cm
Extent
1 volume (various pagings)
Isbn
9781584885108
Isbn Type
(acid-free paper)
Lccn
2006045491
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)67405699
Label
Handbook of linear algebra, edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Luz M. DeAlba
  • Inner product spaces, orthogonal projection, least squares and singular value decomposition
  • Lixing Han and Michael Neumann
  • Canonical forms
  • Leslie Hogben
  • Unitary similarity, normal matrices, and spectral theory
  • Helene Shapiro
  • Hermitian and positive definite matrices
  • Wayne Barrett
  • Nonnegative and stochastic matrices
  • I. Linear algebra
  • Uriel G. Rothblum
  • Partitioned matrices
  • Robert Reams
  • Functions of matrices
  • Nicholas J. Higham
  • Quadratic, bilinear and sesquilinear forms
  • Raphael Loewy
  • Multilinear algebra
  • J.A. Dias de Silva and Armando Machado
  • Matrix equalities and inequalities
  • Vectors, matrices and systems of linear equations
  • Michael Tsatsomeros
  • Matrix perturbation theory
  • Ren-Cang Li
  • Pseudospectra
  • Mark Embree
  • Singular values and singular value inequalities
  • Roy Mathias
  • Numerical range
  • Chi-Kwong Li
  • Matrix stability and inertia
  • Jane Day
  • Daniel Hershkowitz
  • Inverse eigenvalue problems
  • Alberto Borobia
  • Totally positive and totally negative matrices
  • Shaun M. Fallat
  • Linear preserver problems
  • Peter Šemrl
  • Matrices over integral domains
  • Shmuel Friedland
  • Similarities of families of matrices
  • Linear independence, span, and bases
  • Shmuel Friedland
  • Max-plus algebra
  • Marianne Akian, Ravindra Bapat, Stéphane Gaubert
  • Matrices leaving a cone invariant
  • Bit-Shun Tam and Hans Schneider
  • Mark Mills
  • Linear transformations
  • Francesco Barioli
  • Determinants and eigenvalues
  • Bryan L. Shader
  • Permanents
  • Ian M. Wanless
  • D-optimal designs
  • Michael G. Neubauer and William Watkins
  • Sign pattern matrices
  • Frank J. Hall and Zhongshan Li
  • Multiplicity lists for the eigenvalues of symmetric matrices with a given graph
  • Charles R. Johnson, António Leal Duarte, and Carlos M. Saiago
  • Matrix completion problems
  • II. Combinatorial matrix theory and graphs
  • Leslie Hogben and Amy Wangsness
  • Algebraic connectivity
  • Steve Kirkland
  • Combinatorial matrix theory
  • Richard A. Brualdi
  • Matrices and graphs
  • Willem H. Haemers
  • Digraphs and matrices
  • Jeffrey L. Stuart
  • Bipartite graphs and matrices
  • Esmond G. Ng
  • Iterative solution methods for linear systems
  • Anne Greenbaum
  • Symmetric matrix eigenvalue techniques
  • Ivan Slapničar
  • Unsymmetric matrix eigenvalue techniques
  • David S. Watkins
  • The implicitly restarted Arnoldi method
  • D.C. Sorensen
  • Computation of the singular value decomposition
  • III. Numerical methods
  • Alan Kaylor Cline and Inderjit S. Dhillon
  • Computing eigenvalues and singular values to high relative accuracy
  • Zlatko Drmač
  • Fast matrix multiplication
  • Dario A. Bini
  • Structured matrix computations
  • Michael Ng
  • Large-scale matrix computations
  • Roland W. Freund
  • Vector and matrix norms, error analysis, efficiency and stability
  • Ralph Byers and Biswa Nath Datta
  • Matrix factorizations, and direct solution of linear systems
  • Christopher Beattie
  • Least squares solution of linear systems
  • Per Christian Hansen and Hans Bruun Nielsen
  • Sparse matrix methods
  • Simo Puntanen, George A.F. Seber, and George P.H. Styan
  • Markov chains
  • Beatrice Meini
  • Differential equations and stability
  • Volker Mehrmann and Tatjana Stykel
  • Dynamical systems and linear algebra
  • Fritz Colonius and Wolfgang Kliemann
  • Control theory
  • Peter Benner
  • Fourier analysis
  • IV. Applications
  • Kenneth Howell
  • Linear algebra and mathematical physics
  • Lorenzo Sadun
  • Linear algebra in biomolecular modeling
  • Zhijun Wu
  • Coding theory
  • Joachim Rosenthal and Paul Weiner
  • Quantum computation
  • Zijian Diao
  • Information retrieval and web search
  • Linear programming
  • Amy Langville and Carl Meyer
  • Signal processing
  • Michael Stewart
  • Geometry
  • Mark Hunacek
  • Some applications of matrices and graphs in Euclidean geometry
  • Miroslav Fiedler
  • Matrix groups
  • Peter J. Cameron
  • Group representations
  • Leonid S. Vaserstein
  • Randall Holmes and T.Y. Tam
  • Nonassociative algebras
  • Murray R. Bremner, Lucia I. Muakami and Ivan P. Shestakov
  • Lie algebras
  • Robert Wilson
  • Semidefinite programming
  • Henry Wolkowicz
  • Random vectors and linear statistical models
  • Simo Puntanen and George P.H. Styan
  • Multivariate statistical analysis
  • Jack Dongarra, Victor Eijkhout, and Julien Langou
  • LAPACK
  • Zhaojun Bai
  • Use of ARPACK and EIGS
  • D.C. Sorensen
  • V. Computational software
  • METLAB
  • Steven J. Leon
  • Linear algebra in Maple
  • David J. Jeffrey and Robert M. Corless
  • Mathematica
  • Heikki Ruskeepää
  • BLAS
Control code
67405699
Dimensions
27 cm
Extent
1 volume (various pagings)
Isbn
9781584885108
Isbn Type
(acid-free paper)
Lccn
2006045491
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)67405699

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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