SIAM Homepage | Search Catalog | New Books | Author Index | Series Index | Title Index | View My Shopping Cart

The catalog and shopping cart are hosted for SIAM by EasyCart. Your transaction is secure. If you have any questions about your order, contact

Purchase Now!

Spectral Approximation of Linear OperatorsSpectral Approximation of Linear Operators

Françoise Chatelin

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.

Spectral Approximation of Linear Operators 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.

This book is appropriate for advanced undergraduate students and graduate students, researchers in functional and/or numerical analysis, and engineers who work on instability and turbulence.

Preface to the Classics Edition;
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;
Solutions to Exercises;
Notation Index;
Subject Index.

About the Author

Françoise Chatelin is Professor of Mathematics at the University of Toulouse and head of the Qualitative Computing Group at CERFACS. Her areas of expertise include spectral theory for linear operators in Banach spaces and finite precision computation of very large eigenproblems.

To request an examination copy or desk copy of this book, please use our online request form at

spectral theory, closed operators, isolated eigenvalues, strongly stable approximation, a posteriori error bounds

2011 / xxvii + 458 / Softcover / ISBN 978-0-898719-99-4
List Price $75.00 / SIAM Member Price $52.50/ Order Code CL65

Quantity desired

Search our catalog for:

Shopping cart provided by:
Select quantity and list or member price and then click the "Click to Order" button to add books to your shopping cart.
Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)