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Perturbation bounds for matrix eigenvalues [electronic resource] / Rajendra Bhatia.

Author/Creator:
Bhatia, Rajendra, 1952-
Publication:
Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007.
Format/Description:
Book
1 electronic text (xiv, 191 p.) : digital file.
Series:
Classics in applied mathematics ; 53.
Classics in applied mathematics ; 53
Status/Location:
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Details

Subjects:
Eigenvalues.
Perturbation (Mathematics).
Matrices.
Language:
English
System Details:
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
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 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.
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.
Notes:
Originally published: Burnt Mill, Harlow, Essex, England : Longman Scientific & Technical ; New York : Wiley, 1987.
Includes bibliographical references (p. 185-190).
Description based on title page of print version.
Contributor:
Society for Industrial and Applied Mathematics.
ISBN:
0-89871-907-0
Publisher Number:
CL53 siam
Access Restriction:
Restricted to subscribers or individual electronic text purchasers.