Items related to Perturbation Bounds for Matrix Eigenvalues (Pitman...
Perturbation Bounds for Matrix Eigenvalues (Pitman Research Notes in Mathematics Series) - Softcover
Synopsis
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. Contents Preface to the Classics Edition; Preface; Introduction; Chapter 1: Preliminaries; Chapter 2: Singular values and norms; Chapter 3: Spectral variation of Hermitian matrices; Chapter 4: Spectral variation of normal matrices; Chapter 5: The general spectral variation problem; Chapter 6: Arbitrary perturbations of constrained matrices; Postscripts; References; Supplements 1986 2006; Chapter 7: Singular values and norms; Chapter 8: Spectral variation of Hermitian matrices; Chapter 9: Spectral variation of normal matrices; Chapter 10: Spectral variation of diagonalizable matrices; Chapter 11: The general spectral variation problem; Chapter 12: Arbitrary perturbations of constrained matrices; Chapter 13: Related Topics; Bibliography; Errata.
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Book Description
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 last two decades. It is an excellent research reference for all those interested in operator theory, linear algebra, and numerical analysis.
About the Author
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.
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- PublisherLongman Scientific and Technical
- Publication date1987
- ISBN 10 0470209178
- ISBN 13 9780470209172
- BindingPaperback
- LanguageEnglish
- Number of pages129
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