Perturbation Bounds For Matrix Eigenvalues
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Perturbation Bounds For Matrix Eigenvalues
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Author : R. Bhatia
language : en
Publisher: Society for Industrial and Applied Mathematics (SIAM)
Release Date : 2007-07-19
Perturbation Bounds For Matrix Eigenvalues written by R. Bhatia and has been published by Society for Industrial and Applied Mathematics (SIAM) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-19 with Mathematics categories.
Contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to specific classes. Many basic results and techniques can be found in this book, making it a good reference for researchers and students. For the SIAM Classics edition, the author has added a new Supplements section, which includes recent results and discusses the important advances made in the study of theory, results, and proof techniques of spectral variation problems in the two decades since the book's original publication.
Perturbation Bounds For Matrix Eigenvalues
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Author : Rajendra Bhatia
language : en
Publisher:
Release Date : 1987
Perturbation Bounds For Matrix Eigenvalues written by Rajendra Bhatia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Eigenvalues categories.
Perturbation Bounds For Matrix Eigenvalues
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Author : Rajendra Bhatia
language : en
Publisher: SIAM
Release Date : 2007-07-19
Perturbation Bounds For Matrix Eigenvalues written by Rajendra Bhatia and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-19 with Mathematics categories.
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.
Numerical Methods For Large Eigenvalue Problems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-05-26
Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.
This revised edition discusses numerical methods for computing the 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 For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Perturbation Theory For Linear Operators written by Tosio Kato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Core Chasing Algorithms For The Eigenvalue Problem
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Author : Jared L. Aurentz
language : en
Publisher: SIAM
Release Date : 2018-07-06
Core Chasing Algorithms For The Eigenvalue Problem written by Jared L. Aurentz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Science categories.
Eigenvalue computations are ubiquitous in science and engineering. John Francis?s implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis?s original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work. This book will be of interest to researchers in numerical linear algebra and their students.
Matrix Computations
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Author : Gene Howard Golub
language : en
Publisher: JHU Press
Release Date : 2013-02-15
Matrix Computations written by Gene Howard Golub and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-15 with Mathematics categories.
This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.
Bounds For The Eigenvalues Of A Matrix
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Author : Kenneth R. Garren
language : en
Publisher:
Release Date : 1968
Bounds For The Eigenvalues Of A Matrix written by Kenneth R. Garren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Eigenvalues categories.
Eigenvalue Problems Algorithms Software And Applications In Petascale Computing
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Author : Tetsuya Sakurai
language : en
Publisher: Springer
Release Date : 2018-01-03
Eigenvalue Problems Algorithms Software And Applications In Petascale Computing written by Tetsuya Sakurai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-03 with Computers categories.
This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.
The Theory Of Matrices In Numerical Analysis
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Author : Alston S. Householder
language : en
Publisher: Courier Corporation
Release Date : 2013-06-18
The Theory Of Matrices In Numerical Analysis written by Alston S. Householder and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-18 with Mathematics categories.
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.