Eigenvalues of Matrices

書目詳細資料
主要作者: Chatelin F. Francoise
總結: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.
語言:英语
出版: Philadelphia, Siam, 2012
版:Revised Edition
叢編:Classics in Applied Mathematics Vol. 71
主題:
格式: 圖書
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=255187
實物特徵
實物描述:410 p. il.
總結: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