Perturbation Bounds for Matrix Eigenvalues

A research reference for all those interested in operator theory, linear algebra, and numerical analysis.

Rajendra Bhatia (Author)

9780898716313

Paperback / softback, published 30 June 2007

206 pages
22.9 x 15.2 x 2 cm, 0.295 kg

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 material covering recent results and discussing 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. 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. It is also suitable for a graduate course in linear algebra or functional analysis.

Preface to the Classics Edition
Preface
Introduction
1. Preliminaries
2. Singular values and norms
3. Spectral variation of Hermitian matrices
4. Spectral variation of normal matrices
5. The general spectral variation problem
6. Arbitrary perturbations of constrained matrices
Postscripts
References
Supplements 1986-2006: 7. Singular values and norms
8. Spectral variation of Hermitian matrices
9. Spectral variation of normal matrices
10. Spectral variation of diagonalizable matrices
11. The general spectral variation problem
12. Arbitrary perturbations of constrained matrices
13. Related topics
Bibliography
Errata.

Subject Areas: Miscellaneous items [WZ]