ENGLISH

Matrix Analysis

By Rajendra Bhatia (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1997
ISBN
0387948465, 9780387948461
DOI
10.1007/978-1-4612-0653-8
LCC
QA188 .B485 1997
Open Library ID
OL993699M
Language
english
Format
DJVU
Filesize
3 MB (2788445 bytes)
Series
Graduate Texts in Mathematics 169
Edition
1
Pages
349\347
Topic
Mathematics Algebra
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11
Analysis; Numerical Analysis

Description

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.

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