Overview

This classic textbook provides a modern and complete guide to the calculation of eigenvalues of matrices, written at an accessible level that presents in matrix notation the fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of this book are: The convergence of eigensolvers serving as the basis of the notion of the gap between invariant subspaces. Its coverage of the impact of the high nonnormality of the matrix on its eigenvalues. The comprehensive nature of the material that moves beyond mathematical technicalities to the essential mean carried out by matrix eigenvalues.

Full Product Details

Author:   Françoise Chatelin
Publisher:   Society for Industrial & Applied Mathematics,U.S.
Imprint:   Society for Industrial & Applied Mathematics,U.S.
Edition:   Revised Second Edition
Volume:   71
Dimensions:   Width: 15.40cm , Height: 2.20cm , Length: 22.60cm
Weight:   0.598kg
ISBN:  

9781611972450

ISBN 10:   1611972450
Pages:   440
Publication Date:   30 November 2012
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Preface to the classics edition; Preface; Preface to the English edition; Notation; List of errata; 1. Supplements from linear algebra; 2. Elements of spectral theory; 3. Why compute eigenvalues?; 4. Error analysis; 5. Foundations of methods for computing eigenvalues; 6. Numerical methods for large matrices; 7. Chebyshev's iterative methods; 8. Polymorphic information processing with matrices; Appendix A. Solution to exercises; Appendix B. References for exercises; Appendix C. References; Index.

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Author Information

Françoise Chatelin is Professor of Mathematics at the University of Toulouse and head of the Qualitative Computing Group at CERFACS. Before moving to CERFACS, she was a professor at the universities of Grenoble and Paris IX Dauphine. She also worked for a decade in the industrial research laboratories of IBM France and Thales, where she was in charge of intensive computing activities. Her areas of expertise include spectral theory for linear operators in Banach spaces and finite precision computation of very large eigenproblems. She currently explores the uncharted domain of mathematical computation that lies beyond real or complex analysis.

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