Perturbation Bounds for Matrix Eigenvalues

Know about the book -

Perturbation Bounds for Matrix Eigenvalues is written by Rajendra Bhatia and published by SIAM. It's available with International Standard Book Number or ISBN identification 0898719070 (ISBN 10) and 9780898719079 (ISBN 13).

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 emphasizes sharp estimates, general principles, elegant methods, and powerful techniques. 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: 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.