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Perturbation Bounds for Matrix EigenvaluesPerturbation Bounds for Matrix Eigenvalues

Rajendra Bhatia


Classics in Applied Mathematics 53

Perturbation Bounds for Matrix Eigenvalues contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to special classes. The book’s emphasis on sharp estimates, general principles, elegant methods, and powerful techniques, makes it a good reference for researchers and students.

For the SIAM Classics edition, the author has added over 60 pages of new material, which includes recent results and discusses the important advances made in the theory, results, and proof techniques of spectral variation problems in the two decades since the book’s original publication.

Audience
This updated edition is appropriate for use as a research reference for physicists, engineers, computer scientists, and mathematicians interested in operator theory, linear algebra, and numerical analysis. The text is also suitable for a graduate course in linear algebra or functional analysis.

About the Author
Rajendra Bhatia
is a Professor at the Indian Statistical Institute and has held visiting positions at several universities around the world. He is a J. C. Bose National Fellow and a fellow of the Indian Academy of Sciences and of the Indian National Science Academy. Professor Bhatia received the Bhatnagar Prize for Science and Technology in 1995. He is a Senior Editor of Linear Algebra and Its Applications and a past editor of SIAM Journal on Matrix Analysis and Its Applications.

Table of Contents [PDF 19KB]

2007 / xvi + 191 pages / Softcover / ISBN 978-0-898716-31-3
List Price: $53.50 / SIAM Member Price: $37.45 / Order Code CL53
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