Perturbation Bounds for Matrix Eigenvalues (Classics in Applied Mathematics)

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9780898716313: Perturbation Bounds for Matrix Eigenvalues (Classics in Applied Mathematics)

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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Rajendra Bhatia
Editorial: Society for Industrial Applied Mathematics,U.S., United States (2007)
ISBN 10: 0898716314 ISBN 13: 9780898716313
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2007. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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 specific classes. Many basic results and techniques can be found in this book, making it a good reference for researchers and students. For the SIAM Classics edition, the author has added a new Supplements section, which includes recent results and discusses the important advances made in the study of theory, results, and proof techniques of spectral variation problems in the two decades since the book s original publication. Nº de ref. de la librería AAN9780898716313

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Rajendra Bhatia
Editorial: Society for Industrial Applied Mathematics,U.S., United States (2007)
ISBN 10: 0898716314 ISBN 13: 9780898716313
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2007. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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 specific classes. Many basic results and techniques can be found in this book, making it a good reference for researchers and students. For the SIAM Classics edition, the author has added a new Supplements section, which includes recent results and discusses the important advances made in the study of theory, results, and proof techniques of spectral variation problems in the two decades since the book s original publication. Nº de ref. de la librería AAN9780898716313

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Bhatia, R.
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Descripción Society for Industrial and Applied Mathematics, 2007. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780898716313

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Descripción Society for Industrial & Applied Mathematics,U.S. Paperback. Estado de conservación: new. BRAND NEW, Perturbation Bounds for Matrix Eigenvalues, Rajendra Bhatia, 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. Nº de ref. de la librería B9780898716313

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BHATIA
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ISBN 10: 0898716314 ISBN 13: 9780898716313
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Descripción Soc Industrial Applied Maths, 2007. Paperback. Estado de conservación: NEW. 9780898716313 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01294627

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Descripción Society for Industrial & Applied, 2007. Paperback. Estado de conservación: Brand New. 191 pages. 9.25x6.50x0.50 inches. In Stock. Nº de ref. de la librería __0898716314

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