2012 / xxx + 410 pages / Softcover / ISBN 978-1-611972-45-0 / List Price $102.00 / SIAM Member Price $71.40 / Order Code CL71
Keywords: eigenvalue, matrix, Cauchy integral, spectral conditioning, gap between invariant subspaces
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 Eigenvalues of Matrices, Revised Edition are
The book's primary use is as a course text for undergraduate students in mathematics, applied mathematics, physics, and engineering. It is also useful as a reference for researchers or for engineers in high-tech industries who are confronted with instability and chaos in intensive computing that results from the strong coupling of two distinct phenomena.
About the Author
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.
Preface to the Classics Edition;
Preface to the English Edition;
List of Errata;
Chapter 1: Supplements from Linear Algebra;
Chapter 2: Elements of Spectral Theory;
Chapter 3: Why Compute Eigenvalues?;
Chapter 4: Error Analysis;
Chapter 5: Foundations of Methods for Computing Eigenvalues;
Chapter 6: Numerical Methods for Large Matrices;
Chapter 7: ChebyshevÕs Iterative Methods;
Chapter 8: Polymorphic Information Processing with Matrices;
Appendix A: Solution to Exercises;
Appendix B: References for Exercises;
Appendix C: References;
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