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- About this Textbook
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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
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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
- Table of contents (10 chapters)
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A Review of Linear Algebra
Pages 1-27
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Majorisation and Doubly Stochastic Matrices
Pages 28-56
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Variational Principles for Eigenvalues
Pages 57-83
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Symmetric Norms
Pages 84-111
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Operator Monotone and Operator Convex Functions
Pages 112-151
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Matrix Analysis
- Authors
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- Rajendra Bhatia
- 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
