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Lanczos Algorithms for Large Symmetric Eigenvalue Computations: Volume 1, Theory

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Lanczos Algorithms for Large Symmetric Eigenvalue Computations: Volume 1, Theory

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Lanczos Algorithms for Large Symmetric Eigenvalue Computations: Volume 1, Theory by Jane Cullum
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Description

First published in 1985, this book presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge elgenvalue problems. It 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.
Release date NZ
September 1st, 2002
Contributor
Series edited by Robert O'Malley
Country of Publication
United States
Imprint
Society for Industrial & Applied Mathematics,U.S.
Pages
184
Dimensions
152x228x13
ISBN-13
9780898715231
Product ID
1836137

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