Matrix Analysis / Edition 1

Matrix Analysis / Edition 1

by Rajendra Bhatia
     
 

ISBN-10: 0387948465

ISBN-13: 9780387948461

Pub. Date: 12/01/1996

Publisher: Springer New York

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability,

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Overview

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.

Product Details

ISBN-13:
9780387948461
Publisher:
Springer New York
Publication date:
12/01/1996
Series:
Graduate Texts in Mathematics Series, #169
Edition description:
1997
Pages:
349
Product dimensions:
0.88(w) x 6.14(h) x 9.21(d)

Related Subjects

Table of Contents

Preface
IA Review of Linear Algebra1
IIMajorisation and Doubly Stochastic Matrices28
IIIVariational Principles for Eigenvalues57
IVSymmetric Norms84
VOperator Monotone and Operator Convex Functions112
VISpectral Variation of Normal Matrices152
VIIPerturbation of Spectral Subspaces of Normal Matrices194
VIIISpectral Variation of Nonnormal Matrices226
IXA Selection of Matrix Inequalities253
XPerturbation of Matrix Functions289
References325
Index339

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