Spectral Approximation of Linear Operators (Classics in Applied Mathematics) - Softcover

Chatelin, Françoise

Softcover

ISBN 10: 0898719992 ISBN 13: 9780898719994

Publisher: Society for Industrial and Applied Mathematics, 2011

Synopsis

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 error 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.

About this title

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.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2011
• Language: English
• ISBN 10: 0898719992
• ISBN 13: 9780898719994
• Binding: Paperback
• Number of pages: 480