Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Author : Jane K. Cullum
language : en
Publisher: SIAM
Release Date : 1985-01-01
Lanczos Algorithms For Large Symmetric Eigenvalue Computations written by Jane K. Cullum and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Mathematics categories.
First published in 1985, Lanczos Algorithms for Large Symmetric Eigenvalue Computations; Vol. 1: Theory presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge eigenvalue problems. This book deals with "symmetric" problems. However, in this book, "symmetric" also encompasses numerical procedures for computing singular values and vectors of real rectangular matrices and numerical procedures for computing eigenelements of nondefective complex symmetric matrices. Although preserving orthogonality has been the golden rule in linear algebra, most of the algorithms in this book conform to that rule only locally, resulting in markedly reduced memory requirements. Additionally, most of the algorithms discussed separate the eigenvalue (singular value) computations from the corresponding eigenvector (singular vector) computations. This separation prevents losses in accuracy that can occur in methods which, in order to be able to compute further into the spectrum, use successive implicit deflation by computed eigenvector or singular vector approximations.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations Vol Ii Programs
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Author : Cullum
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lanczos Algorithms For Large Symmetric Eigenvalue Computations Vol Ii Programs written by Cullum 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 2012-12-06 with Mathematics categories.
Programs
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Author :
language : en
Publisher:
Release Date : 1985
Programs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Author : Jane K. Cullum
language : en
Publisher: SIAM
Release Date : 2002-09-01
Lanczos Algorithms For Large Symmetric Eigenvalue Computations written by Jane K. Cullum and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-01 with Mathematics categories.
First published in 1985, this book presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge eigenvalue problems. This book deals with 'symmetric' problems. However, in this book, 'symmetric' also encompasses numerical procedures for computing singular values and vectors of real rectangular matrices and numerical procedures for computing eigenelements of nondefective complex symmetric matrices. Although preserving orthogonality has been the golden rule in linear algebra, most of the algorithms in this book conform to that rule only locally, resulting in markedly reduced memory requirements. Additionally, most of the algorithms discussed separate the eigenvalue (singular value) computations from the corresponding eigenvector (singular vector) computations. This separation prevents losses in accuracy that can occur in methods which, in order to be able to compute further into the spectrum, use successive implicit deflation by computed eigenvector or singular vector approximations.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Author : Jane K. Cullum
language : en
Publisher:
Release Date : 1985
Lanczos Algorithms For Large Symmetric Eigenvalue Computations written by Jane K. Cullum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Author : Jane K. Cullum
language : en
Publisher:
Release Date : 1985
Lanczos Algorithms For Large Symmetric Eigenvalue Computations written by Jane K. Cullum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Author : CULLUM
language : en
Publisher: Birkhäuser
Release Date : 1984-01-01
Lanczos Algorithms For Large Symmetric Eigenvalue Computations written by CULLUM and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Mathematics categories.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations Vol I Theory
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Author : CULLUM
language : en
Publisher: Birkhäuser
Release Date : 1984
Lanczos Algorithms For Large Symmetric Eigenvalue Computations Vol I Theory written by CULLUM and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
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.
Templates For The Solution Of Algebraic Eigenvalue Problems
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Author : Zhaojun Bai
language : en
Publisher: SIAM
Release Date : 2000-01-01
Templates For The Solution Of Algebraic Eigenvalue Problems written by Zhaojun Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Computers categories.
Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem.