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Handbook of linear algebra / edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias
(Discrete mathematics and its applications)

データ種別 電子ブック
出版者 Boca Raton : Chapman & Hall/CRC
出版年 c2007
本文言語 英語
大きさ 1 online resource (1 volume (various pagings)) : illustrations

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URL 電子ブック


EB0133247

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内容注記 I. Linear algebra
Vectors, matrices and systems of linear equations / Jane Day
Linear independence, span, and bases / Mark Mills
Linear transformations / Francesco Barioli
Determinants and eigenvalues / 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 / Uriel G. Rothblum
Partitioned matrices / Robert Reams
Functions of matrices / Nicholas J. Higham
Quadratic, bilinear and sesquilinear forms / Raphael Lowey
Multilinear algebra / J.A. Dias de Silva and Armando Machado
Matrix equalities and inequalities / 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 / 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 / Shmuel Friedland
Max-plus algebra / Marianne Akian, Ravindra Bapat, Stéphane Gaubert
Matrices leaving a cone invariant / Bit-Shun Tam and Hans Schneider
II. Combinatorial matrix theory and graphs
Combinatorial matrix theory / Richard A. Brualdi
Matrices and graphs / Willem H. Haemers
Digraphs and matrices / Jeffrey L. Stuart
Bipartite graphs and matrices / 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 / Leslie Hogben and Amy Wangsness
Algebraic connectivity / Steve Kirkland
III. Numerical methods
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 / 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 / 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
IV. Applications
Linear programming / Leonid S. Vaserstein
Semidefinite programming / Henry Wolkowicz
Random vectors and linear statistical models / Simo Puntanen and George P.H. Styan
Multivariate statistical analysis / 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 / 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 / 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 / Randall Holmes and T.Y. Tam
Nonassociative algebras / Murray R. Bremner, Lucia I. Muakami and Ivan P. Shestakov
Lie algebras / Robert Wilson
V. Computational software
METLAB / Steven J. Leon
Linear algebra in Maple / David J. Jeffrey and Robert M. Corless
Mathematica / Heikki Ruskeepää
BLAS / Jack Dongarra, Victor Eijkhout, and Julien Langou
LAPACK / Zhaojun Bai
Use of ARPACK and EIGS / D.C. Sorensen
一般注記 Includes bibliographical references and indexes
著者標目 Hogben, Leslie
件 名 LCSH:Algebras, Linear
CSHF:Algèbre linéaire
FREE:MATHEMATICS -- Algebra -- Linear  全ての件名で検索
FREE:Algebras, Linear
FREE:Lineaire algebra
FREE:Lineare Algebra
FREE:Electronic books
分 類 DC22:512/.5
巻冊次 ISBN:1584885106 REFWLINK
ISBN:9781584885108 REFWLINK
ISBN:1420010573 REFWLINK
ISBN:9781420010572 REFWLINK
ISBN 1584885106
URL http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=184653
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