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Perturbation bounds for matrix eigenvalues

Author: Rajendra Bhatia; Society for Industrial and Applied Mathematics.
Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007.
Series: Classics in applied mathematics, 53.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bhatia, Rajendra, 1952-
Perturbation bounds for matrix eigenvalues.
Philadelphia : Society for Industrial and Applied Mathematics, ©2007
(DLC) 2007061736
(OCoLC)123285333
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rajendra Bhatia; Society for Industrial and Applied Mathematics.
ISBN: 9780898719079 0898719070
OCLC Number: 693777146
Notes: Originally published: Burnt Mill, Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1987.
Description: 1 electronic text (xiv, 191 pages) : digital file.
Contents: Preliminaries --
Singular values and norms --
Spectral variation of Hermitian matrices --
Spectral variation of normal matrices --
The general spectral variation problem --
Arbitrary perturbations of constrained matrices --
Supplements 1986-2006: Singular values and norms --
Spectral variation of Hermitian matrices --
Spectral variation of normal matrices --
Spectral variation of diagonalizable matrices --
The general spectral variation problem --
Arbitrary perturbations of constrained matrices --
Related topics.
Series Title: Classics in applied mathematics, 53.
Responsibility: Rajendra Bhatia.

Abstract:

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.

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