Handbook of linear algebra /
"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...
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| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton :
Chapman & Hall/CRC,
©2007.
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| Series: | Discrete mathematics and its applications
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| Subjects: |
MARC
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| 245 | 0 | 0 | |a Handbook of linear algebra / |c edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias. |
| 260 | |a Boca Raton : |b Chapman & Hall/CRC, |c ©2007. | ||
| 300 | |a 1 volume (various pagings) : |b illustrations ; |c 27 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Discrete mathematics and its applications | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | 0 | |g I. Linear algebra -- |t Vectors, matrices and systems of linear equations / |r Jane Day -- |t Linear independence, span, and bases / |r Mark Mills -- |t Linear transformations / |r Francesco Barioli -- |t Determinants and eigenvalues / |r Luz M. DeAlba -- |t Inner product spaces, orthogonal projection, least squares and singular value decomposition / |r Lixing Han and Michael Neumann -- |t Canonical forms / |r Leslie Hogben -- |t Unitary similarity, normal matrices, and spectral theory / |r Helene Shapiro -- |t Hermitian and positive definite matrices / |r Wayne Barrett -- |t Nonnegative and stochastic matrices / |r Uriel G. Rothblum -- |t Partitioned matrices / |r Robert Reams -- |t Functions of matrices / |r Nicholas J. Higham -- |t Quadratic, bilinear and sesquilinear forms / |r Raphael Loewy -- |t Multilinear algebra / |r J.A. Dias de Silva and Armando Machado -- |t Matrix equalities and inequalities / |r Michael Tsatsomeros -- |t Matrix perturbation theory / |r Ren-Cang Li -- |t Pseudospectra / |r Mark Embree -- |t Singular values and singular value inequalities / |r Roy Mathias -- |t Numerical range / |r Chi-Kwong Li -- |t Matrix stability and inertia / |r Daniel Hershkowitz -- |t Inverse eigenvalue problems / |r Alberto Borobia -- |t Totally positive and totally negative matrices / |r Shaun M. Fallat -- |t Linear preserver problems / |r Peter Šemrl -- |t Matrices over integral domains / |r Shmuel Friedland -- |t Similarities of families of matrices / |r Shmuel Friedland -- |t Max-plus algebra / |r Marianne Akian, Ravindra Bapat, Stéphane Gaubert -- |t Matrices leaving a cone invariant / |r Bit-Shun Tam and Hans Schneider. |
| 505 | 0 | 0 | |g II. Combinatorial matrix theory and graphs -- |t Combinatorial matrix theory / |r Richard A. Brualdi -- |t Matrices and graphs / |r Willem H. Haemers -- |t Digraphs and matrices / |r Jeffrey L. Stuart -- |t Bipartite graphs and matrices / |r Bryan L. Shader -- |t Permanents / |r Ian M. Wanless -- |t D-optimal designs / |r Michael G. Neubauer and William Watkins -- |t Sign pattern matrices / |r Frank J. Hall and Zhongshan Li -- |t Multiplicity lists for the eigenvalues of symmetric matrices with a given graph / |r Charles R. Johnson, António Leal Duarte, and Carlos M. Saiago -- |t Matrix completion problems / |r Leslie Hogben and Amy Wangsness -- |t Algebraic connectivity / |r Steve Kirkland. |
| 505 | 0 | 0 | |g III. Numerical methods -- |t Vector and matrix norms, error analysis, efficiency and stability / |r Ralph Byers and Biswa Nath Datta -- |t Matrix factorizations, and direct solution of linear systems / |r Christopher Beattie -- |t Least squares solution of linear systems / |r Per Christian Hansen and Hans Bruun Nielsen -- |t Sparse matrix methods / |r Esmond G. Ng -- |t Iterative solution methods for linear systems / |r Anne Greenbaum -- |t Symmetric matrix eigenvalue techniques / |r Ivan Slapničar -- |t Unsymmetric matrix eigenvalue techniques / |r David S. Watkins -- |t The implicitly restarted Arnoldi method / |r D.C. Sorensen -- |t Computation of the singular value decomposition / |r Alan Kaylor Cline and Inderjit S. Dhillon -- |t Computing eigenvalues and singular values to high relative accuracy / |r Zlatko Drmač -- |t Fast matrix multiplication / |r Dario A. Bini -- |t Structured matrix computations / |r Michael Ng -- |t Large-scale matrix computations / |r Roland W. Freund. |
| 505 | 0 | 0 | |g IV. Applications -- |t Linear programming / |r Leonid S. Vaserstein -- |t Semidefinite programming / |r Henry Wolkowicz -- |t Random vectors and linear statistical models / |r Simo Puntanen and George P.H. Styan -- |t Multivariate statistical analysis / |r Simo Puntanen, George A.F. Seber, and George P.H. Styan -- |t Markov chains / |r Beatrice Meini -- |t Differential equations and stability / |r Volker Mehrmann and Tatjana Stykel -- |t Dynamical systems and linear algebra / |r Fritz Colonius and Wolfgang Kliemann -- |t Control theory / |r Peter Benner -- |t Fourier analysis / |r Kenneth Howell -- |t Linear algebra and mathematical physics / |r Lorenzo Sadun -- |t Linear algebra in biomolecular modeling / |r Zhijun Wu -- |t Coding theory / |r Joachim Rosenthal and Paul Weiner -- |t Quantum computation / |r Zijian Diao -- |t Information retrieval and web search / |r Amy Langville and Carl Meyer -- |t Signal processing / |r Michael Stewart -- |t Geometry / |r Mark Hunacek -- |t Some applications of matrices and graphs in Euclidean geometry / |r Miroslav Fiedler -- |t Matrix groups / |r Peter J. Cameron -- |t Group representations / |r Randall Holmes and T.Y. Tam -- |t Nonassociative algebras / |r Murray R. Bremner, Lucia I. Muakami and Ivan P. Shestakov -- |t Lie algebras / |r Robert Wilson. |
| 505 | 0 | 0 | |g V. Computational software -- |t METLAB / |r Steven J. Leon -- |t Linear algebra in Maple / |r David J. Jeffrey and Robert M. Corless -- |t Mathematica / |r Heikki Ruskeepää -- |t BLAS / |r Jack Dongarra, Victor Eijkhout, and Julien Langou -- |t LAPACK / |r Zhaojun Bai -- |t Use of ARPACK and EIGS / |r D.C. Sorensen. |
| 520 | |a "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. | ||
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 6 | |a Algèbre linéaire. | |
| 650 | 7 | |a Algebras, Linear. |2 fast |0 (OCoLC)fst00804946 | |
| 650 | 1 | 7 | |a Lineaire algebra. |2 gtt |
| 650 | 7 | |a Lineare Algebra |2 gnd | |
| 700 | 1 | |a Hogben, Leslie. | |
| 830 | 0 | |a Discrete mathematics and its applications | |
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