Matrix Mathematics

Theory, Facts, and Formulas with Application to Linear Systems Theory

Dennis Bernstein

726 pages, parution le 18/04/2005

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Résumé

Matrix 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.

L'auteur - Dennis Bernstein

Dennis S. Bernstein is a Professor of Aerospace Engineering at the University of Michigan.

Sommaire

Special Symbols
Conventions, Notation, and Terminology
Preface
Acknowledgments
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
Linear Systems and Control Theory
Bibliography
Author Index
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Dennis Bernstein
Parution	18/04/2005
Nb. de pages	726
Format	18 x 26
Couverture	Relié
Poids	1534g
Intérieur	Noir et Blanc
EAN13	9780691118024
ISBN13	978-0-691-11802-4