Theoretical Physics, Matrices & Determinants, Mathematical Analysis - Functional Analysis

Perturbation Bounds for Matrix Eigenvalues

Name: Perturbation Bounds for Matrix Eigenvalues
Author: Rajendra Bhatia
ISBN: 9780470209172

by Bhatia, Rajendra

Write a review

Overview

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.

About the Author, Rajendra Bhatia

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.