Eigenvalues of Matrices
2nd Edition
Published on 30. November 2012
Book
Paperback/Softback
440 pages
978-1-61197-245-0 (ISBN)
Description
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.
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.
More details
Series
Edition
Revised Second Edition
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Edition type
New edition
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 226 mm
Width: 155 mm
Thickness: 23 mm
Weight
590 gr
ISBN-13
978-1-61197-245-0 (9781611972450)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Francoise 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.
Content
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: Chebyshev's Iterative Methods
Chapter 8: Polymorphic Information Processing with Matrices
Appendix A: Solution to Exercises
Appendix B: References for Exercises
Appendix C: References
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: Chebyshev's Iterative Methods
Chapter 8: Polymorphic Information Processing with Matrices
Appendix A: Solution to Exercises
Appendix B: References for Exercises
Appendix C: References