Eigenvalues of Matrices

Bibliographic Details
Main Author: Chatelin F. Francoise
Summary:This revised edition of a classic textbook provides a complete guide to the calculation of eigenvalues of matrices. Written at an accessible level, this modern exposition of the subject presents fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of this book include a treatment of the convergence of eigensolvers based on the notion of the gap between invariant subspaces, and coverage of the impact of the high nonnormality of a matrix on its eigenvalues. Also included is a new chapter uncovering reasons why matrices are fundamental tools for the information processing that takes place in the dynamical evolution of systems. Some of these ideas appear in print for the first time. The books primary use is as a course text for undergraduate students in mathematics, applied mathematics, physics and engineering. It is also a useful reference for researchers and engineers in industry.
Published: Philadelphia, Siam, 2012
Edition:Revised Edition
Series:Classics in Applied Mathematics Vol. 71
Subjects:
Format: Book
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=255187
Description
Physical Description:410 p. il.
Summary:This revised edition of a classic textbook provides a complete guide to the calculation of eigenvalues of matrices. Written at an accessible level, this modern exposition of the subject presents fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of this book include a treatment of the convergence of eigensolvers based on the notion of the gap between invariant subspaces, and coverage of the impact of the high nonnormality of a matrix on its eigenvalues. Also included is a new chapter uncovering reasons why matrices are fundamental tools for the information processing that takes place in the dynamical evolution of systems. Some of these ideas appear in print for the first time. The books primary use is as a course text for undergraduate students in mathematics, applied mathematics, physics and engineering. It is also a useful reference for researchers and engineers in industry.
ISBN:9781611972450