Spectral approximation of linear operators / Françoise Chatelin.

Format:

Book

Author/Creator:

Chaitin-Chatelin, Françoise.

Contributor:

Society for Industrial and Applied Mathematics.

Series:

Classics in applied mathematics ; 65.

Classics in applied mathematics ; 65

Language:

English

Subjects (All):

Linear operators.

Approximation theory.

Spectral theory (Mathematics).

Physical Description:

1 electronic text (xxviii, 458 p.) : digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This classic textbook provides a unified treatment of spectral approximation for closed or bounded operators as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form the theoretical bedrock for any computational approach to spectral theory over matrices or linear operators. This coverage of classical results is not readily available elsewhere. The text offers in-depth coverage of properties of various types of operator convergence, the spectral approximation of non-self-adjoint operators, a generalization of classical perturbation theory, and computable errors bounds and iterative refinement techniques, along with many exercises (with solutions), making it a valuable textbook for graduate students and reference manual for self-study.

Contents:

Preface to the Classics edition

Foreword

Preface

Notation

List of errata

Chapter 1. The matrix Eigenvalue problem

Chapter 2. Elements of functional analysis: basic concepts

Chapter 3. Elements of functional analysis: convergence and perturbation theory

Chapter 4. Numerical approximation methods for integral and differential operators

Chapter 5. Spectral approximation of a closed linear operator

Chapter 6. Error bounds and localization results for the Eigenelements

Chapter 7. Some examples of applications

Appendix. Discrete approximation theory

References

Solutions to exercises

Notation index

Subject index.

Notes:

Originally published: New York : Academic Press, 1983.

Includes bibliographical references and index.

Title from title screen, viewed 05/31/2011.

ISBN:

1-61197-067-9

Publisher Number:

CL65 SIAM