Perturbation Bounds for Matrix Eigenalues
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Author(s): R. Bhatia
Publisher: SIAM
ISBN: 9780898716313
Format: softback
191pp
Price: $49.00
Review Date: 04 April 2008
Review: This reference book, originally published in 1987, has been reprinted in the Classics in Applied Mathematics series. It contains a unified exposition of spectral variation inequalities for matrices. The goal of the original book was the exposition of bounds for the distance between the eigenvalues of two matrices, A and B, in terms of expressions involving ¦A – B¦. The emphasis is on sharp estimates, general principles, elegant methods, and powerful techniques. To bring it up to date an Appendix, of over 60 pages, has been added – Supplements 1986–2006. This includes recent results and includes the important advances in the theory, results and proof techniques of spectral variation problems that have been made in the last 20 years.