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Numerical Methods for Large Eigenvalue Problems

Numerical Methods for Large Eigenvalue Problems
Author: Yousef Saad
Publisher: SIAM
Total Pages: 292
Release: 2011-01-01
Genre: Mathematics
ISBN: 9781611970739

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This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.


Perturbation Theory of Eigenvalue Problems (Classic Reprint)

Perturbation Theory of Eigenvalue Problems (Classic Reprint)
Author: F. Rellich
Publisher: Forgotten Books
Total Pages: 348
Release: 2017-11-23
Genre: Mathematics
ISBN: 9780331809268

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Excerpt from Perturbation Theory of Eigenvalue Problems Power series in Hilbert Space Perturbation of an isolated eigenvalue of finite multiplicity of a bounded Operator Essentially self-adjoint, and self-adjoint. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Perturbation Bounds for Matrix Eigenvalues

Perturbation Bounds for Matrix Eigenvalues
Author: Rajendra Bhatia
Publisher: SIAM
Total Pages: 200
Release: 2007-07-19
Genre: Mathematics
ISBN: 0898716314

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For the SIAM Classics edition, the author has added over 60 pages of material covering recent results and discussing the important advances made in the last two decades. It is an excellent research reference for all those interested in operator theory, linear algebra, and numerical analysis.


Perturbation Theory of Eigenvalue Problems

Perturbation Theory of Eigenvalue Problems
Author: F Rellich
Publisher: Legare Street Press
Total Pages: 0
Release: 2022-10-27
Genre:
ISBN: 9781016171656

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Perturbation theory for linear operators

Perturbation theory for linear operators
Author: Tosio Kato
Publisher: Springer Science & Business Media
Total Pages: 610
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662126788

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Matrix Perturbation Theory

Matrix Perturbation Theory
Author: G. W. Stewart
Publisher: Academic Press
Total Pages: 392
Release: 1990-06-28
Genre: Computers
ISBN:

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This book is a comprehensive survey of matrix perturbation theory, a topic of interest to numerical analysts, statisticians, physical scientists, and engineers. In particular, the authors cover perturbation theory of linear systems and least square problems, the eignevalue problem, and the generalized eignevalue problem as wellas a complete treatment of vector and matrix norms, including the theory of unitary invariant norms.