000 02809cam a2200277zu 4500
001 88807804
003 FRCYB88807804
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006 m o d
007 cr un
008 250107s2009 fr | o|||||0|0|||eng d
020 _a9780691132877
035 _aFRCYB88807804
040 _aFR-PaCSA
_ben
_c
_erda
100 1 _aBernstein, Dennis S.
245 0 1 _aMatrix Mathematics
_bTheory, Facts, and Formulas
_c['Bernstein, Dennis S.']
264 1 _bPrinceton University Press
_c2009
300 _a p.
336 _btxt
_2rdacontent
337 _bc
_2rdamdedia
338 _bc
_2rdacarrier
650 0 _a
700 0 _aBernstein, Dennis S.
856 4 0 _2Cyberlibris
_uhttps://international.scholarvox.com/netsen/book/88807804
_qtext/html
_a
520 _aWhen first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms.     Covers hundreds of important and useful results on matrix theory, many never before available in any book     Provides a list of symbols and a summary of conventions for easy use     Includes an extensive collection of scalar identities and inequalities     Features a detailed bibliography and author index with page references     Includes an exhaustive subject index with cross-referencing Dennis S. Bernstein is professor of aerospace engineering at the University of Michigan.
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