Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications
β Scribed by Alexander Weinstein and William Stenger (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1972
- Leaves
- 239
- Series
- Mathematics in Science and Engineering 89
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Preface
Page ix
Acknowledgments
Page xi
Introduction
Pages 1-3
Chapter One The Variational Characterization of Eigenvalues
Pages 4-9
Chapter Two The Rayleigh-Ritz Method
Pages 10-22
Chapter Three The Classical Maximum-Minimum Theory and Its Extension to Unbounded Operators
Pages 23-35
Chapter Four Intermediate Problems of The First Type
Pages 36-78
Chapter Five Intermediate Problems of The Second Type
Pages 79-106
Chapter Six Various Other Methods and Their Connections with Intermediate Problems
Pages 107-122
Chapter Seven The New Maximum-Minimum Theory
Pages 123-145
Chapter Eight Inequalities for Eigenvalues of Parts and Projections of Operators
Pages 146-165
Chapter Nine Intermediate Problems and Perturbation Theory
Pages 166-180
Appendix A
Pages 181-192
Appendix B
Pages 193-220
Bibliography
Pages 221-231
Notation Index
Page 233
Subject Index
Pages 234-236
π SIMILAR VOLUMES
<p>The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. This second edition presents new developments in the framework of the material contained in the first edition, which is retained in som
This textbook presents a number of the most important numerical methods for finding eigenvalues and eigenvectors of matrices. The authors discuss the central ideas underlying the different algorithms and introduce the theoretical concepts required to analyze their behaviour. Several programming ex
<p>Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describin
<p>The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial d