© 1997

Matrix Analysis


Part of the Graduate Texts in Mathematics book series (GTM, volume 169)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Rajendra Bhatia
    Pages 1-27
  3. Rajendra Bhatia
    Pages 28-56
  4. Rajendra Bhatia
    Pages 57-83
  5. Rajendra Bhatia
    Pages 84-111
  6. Rajendra Bhatia
    Pages 112-151
  7. Rajendra Bhatia
    Pages 152-193
  8. Rajendra Bhatia
    Pages 226-252
  9. Rajendra Bhatia
    Pages 253-288
  10. Rajendra Bhatia
    Pages 289-323
  11. Back Matter
    Pages 325-349

About this book


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.


algebra approximation calculus Eigenvalue exponential function inequality linear algebra matrices matrix numerical analysis operator operator theory perturbation polynomial Smooth function

Authors and affiliations

  1. 1.Indian Statistical InstituteNew DelhiIndia

Bibliographic information

  • Book Title Matrix Analysis
  • Authors Rajendra Bhatia
  • Series Title Graduate Texts in Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-94846-1
  • Softcover ISBN 978-1-4612-6857-4
  • eBook ISBN 978-1-4612-0653-8
  • Series ISSN 0072-5285
  • Edition Number 1
  • Number of Pages XI, 349
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Numerical Analysis
  • Buy this book on publisher's site
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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