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Product Identifiers

PublisherPrinceton University Press

ISBN-100691118027

ISBN-139780691118024

eBay Product ID (ePID)43117252

Product Key Features

Number of Pages768 Pages

LanguageEnglish

Publication NameMatrix Mathematics : Theory, Facts, and Formulas with Application to Linear Systems Theory

Publication Year2005

SubjectMatrices, System Theory

TypeTextbook

Subject AreaMathematics, Science

AuthorDennis S. Bernstein

FormatHardcover

Dimensions

Item Weight55.1 Oz

Item Length10 in

Item Width7 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2004-048903

Dewey Edition22

Reviews"The author was very successful in collecting the enormous amount of results in matrix theory in a single source. . . . A beautiful work and an admirable performance!" -- Monatshefte für Mathematik, Matrix Mathematicscontains an impressive collection of definitions, relations, properties, equations, inequalities, and facts centered around matrices and their use in systems and control. The amount of material that is covered is quite impressive and well structured. . . . I highly recommend the book as a source for retrieving matrix results that one would otherwise have to search for in the extensive literature on matrix theory., "When a matrix question is thrown my way, I will now refer my correspondents . . . to Bernstein's handbook." --Philip J. Davis, SIAM News, " Matrix Mathematics contains an impressive collection of definitions, relations, properties, equations, inequalities, and facts centered around matrices and their use in systems and control. The amount of material that is covered is quite impressive and well structured. . . . I highly recommend the book as a source for retrieving matrix results that one would otherwise have to search for in the extensive literature on matrix theory." --Paul Van Dooren, IEEE Control Systems Magazine, "When a matrix question is thrown my way, I will now refer my correspondents . . . to Bernstein's handbook."-- Philip J. Davis, SIAM News, When a matrix question is thrown my way, I will now refer my correspondents . . . to Bernstein's handbook., Matrix Mathematics contains an impressive collection of definitions, relations, properties, equations, inequalities, and facts centered around matrices and their use in systems and control. The amount of material that is covered is quite impressive and well structured. . . . I highly recommend the book as a source for retrieving matrix results that one would otherwise have to search for in the extensive literature on matrix theory. ---Paul Van Dooren, IEEE Control Systems Magazine, " Matrix Mathematics contains an impressive collection of definitions, relations, properties, equations, inequalities, and facts centered around matrices and their use in systems and control. The amount of material that is covered is quite impressive and well structured. . . . I highly recommend the book as a source for retrieving matrix results that one would otherwise have to search for in the extensive literature on matrix theory."-- Paul Van Dooren, IEEE Control Systems Magazine, The author was very successful in collecting the enormous amount of results in matrix theory in a single source. . . . A beautiful work and an admirable performance!, When a matrix question is thrown my way, I will now refer my correspondents . . . to Bernstein's handbook. ---Philip J. Davis, SIAM News, "The author was very successful in collecting the enormous amount of results in matrix theory in a single source. . . . A beautiful work and an admirable performance!"-- Monatshefte für Mathematik

IllustratedYes

Dewey Decimal512.9/434

SynopsisMatrix Mathematics is a reference work for users of matrices in all branches of engineering, science, and applied mathematics. This book brings together a vast body of results on matrix theory for easy reference and immediate application. Each chapter begins with the development of relevant background theory followed by a large collection of specialized results. Hundreds of identities, inequalities, and matrix facts are stated rigorously and clearly with cross references, citations to the literature, and illuminating remarks. Twelve chapters cover all of the major topics in matrix theory: preliminaries; basic matrix properties; matrix classes and transformations; matrix polynomials and rational transfer functions; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; norms; functions of matrices and their derivatives; the matrix exponential and stability theory; and linear systems and control theory. A detailed list of symbols, a summary of notation and conventions, an extensive bibliography with author index, and an extensive index are provided for ease of use. The book will be useful for students at both the undergraduate and graduate levels, as well as for researchers and practitioners in all branches of engineering, science, and applied mathematics.

LC Classification NumberQA188.B475 2005