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 |
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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 |
書誌詳細を非表示
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 |
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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 ISBN:9781584885108 ISBN:1420010573 ISBN:9781420010572 |
ISBN | 1584885106 |
URL | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=184653 |
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