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Graduate Texts in Mathematics

Matrix Analysis

Authors: Bhatia, Rajendra

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eBook $59.99
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  • ISBN 978-1-4612-0653-8
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Hardcover $79.95
price for USA in USD
  • ISBN 978-0-387-94846-1
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Softcover $79.95
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  • ISBN 978-1-4612-6857-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu­ ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with Chandler Davis). The book should also be useful as a reference for research workers in linear algebra, operator theory, mathe­ matical physics and numerical analysis. A possible subtitle of this book could be Matrix Inequalities. A reader who works through the book should expect to become proficient in the art of deriving such inequalities. Other authors have compared this art to that of cutting diamonds. One first has to acquire hard tools and then learn how to use them delicately. The reader is expected to be very thoroughly familiar with basic lin­ ear algebra. The standard texts Finite-Dimensional Vector Spaces by P.R.

Reviews

R. Bhatia

Matrix Analysis

"A highly readable and attractive account of the subject. The book is a must for anyone working in matrix analysis; it can be recommended to graduate students as well as to specialists."—ZENTRALBLATT MATH

"There is an ample selection of exercises carefully positioned throughout the text. In addition each chapter includes problems of varying difficulty in which themes from the main text are extended."—MATHEMATICAL REVIEWS


Table of contents (10 chapters)

  • A Review of Linear Algebra

    Bhatia, Rajendra

    Pages 1-27

  • Majorisation and Doubly Stochastic Matrices

    Bhatia, Rajendra

    Pages 28-56

  • Variational Principles for Eigenvalues

    Bhatia, Rajendra

    Pages 57-83

  • Symmetric Norms

    Bhatia, Rajendra

    Pages 84-111

  • Operator Monotone and Operator Convex Functions

    Bhatia, Rajendra

    Pages 112-151

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4612-0653-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA in USD
  • ISBN 978-0-387-94846-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA in USD
  • ISBN 978-1-4612-6857-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Matrix Analysis
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
169
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-1-4612-0653-8
DOI
10.1007/978-1-4612-0653-8
Hardcover ISBN
978-0-387-94846-1
Softcover ISBN
978-1-4612-6857-4
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XI, 349
Topics