Matrix Mathematics: Theory, Facts, and Formulas, Second Edition

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9780691140391: Matrix Mathematics: Theory, Facts, and Formulas, Second Edition

When 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

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:

Dennis S. Bernstein is professor of aerospace engineering at the University of Michigan.

Review:

"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

"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

"It is a remarkable source of matrix results. I will put it on the shelf near to my desk so that I have quick access to it. The book is an impressive accomplishment by the author. . . . I can enthusiastically recommend it to anyone who uses matrices. The author has to be applauded for the accomplishment of putting together this impressive volume."--Helmut Lutkepohl, Image

"The book is a well-organized treasure trove of information for anyone interested in matrices and their applications. Look through the Table of Contents and see if there isn't some section that will tempt you and/or illuminate your pathway through the extensive literature on matrix theory. Researchers should have access to this authoritative and comprehensive volume. Academic and industrial libraries should have it in their reference collections. Their patrons will be grateful."--Henry Ricardo, MAA Reviews

"Anybody, regardless of level of expertise, could learn new things just by browsing. Open to a random page and start reading. The reader who seeks specific information to solve a problem may also find success here."--David S. Watkins, SIAM Review

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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Dennis S Bernstein
Editore: Princeton University Press 2009-07-03, Princeton, N.J. |Woodstock (2009)
ISBN 10: 0691140391 ISBN 13: 9780691140391
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Descrizione libro Princeton University Press 2009-07-03, Princeton, N.J. |Woodstock, 2009. paperback. Condizione libro: New. Codice libro della libreria 9780691140391

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Descrizione libro Princeton University Press, United States, 2009. Paperback. Condizione libro: New. Second. Language: English . Brand New Book. When 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. Codice libro della libreria AAZ9780691140391

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Dennis S. Bernstein
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Descrizione libro Princeton University Press, United States, 2009. Paperback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book. When 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. Codice libro della libreria AAZ9780691140391

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Descrizione libro Princeton University Press, 2009. Paperback. Condizione libro: New. book. Codice libro della libreria 0691140391

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Descrizione libro Paperback. Condizione libro: New. Not Signed; When 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. book. Codice libro della libreria ria9780691140391_rkm

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97806911403910000000

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Descrizione libro Princeton University Press, 2009. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria WP-9780691140391

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