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The Resource Lanczos algorithms for large symmetric eigenvalue computations, Vol. 1, Theory, Jane K. Cullum, Ralph A. Willoughby, (electronic resource)

Lanczos algorithms for large symmetric eigenvalue computations, Vol. 1, Theory, Jane K. Cullum, Ralph A. Willoughby, (electronic resource)

Label
Lanczos algorithms for large symmetric eigenvalue computations, Vol. 1, Theory
Title
Lanczos algorithms for large symmetric eigenvalue computations
Title number
Vol. 1
Title part
Theory
Statement of responsibility
Jane K. Cullum, Ralph A. Willoughby
Creator
Contributor
Subject
Language
eng
Summary
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
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Classics in applied mathematics
Series volume
41
Target audience
  • adult
  • specialized
Lanczos algorithms for large symmetric eigenvalue computations, Vol. 1, Theory, Jane K. Cullum, Ralph A. Willoughby, (electronic resource)
Label
Lanczos algorithms for large symmetric eigenvalue computations, Vol. 1, Theory, Jane K. Cullum, Ralph A. Willoughby, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl41
Publication
Note
  • Originally published: Boston : Birkhäuser, 1985-, in series: Progress in scientific computing ; v. 3
  • An online version of Vol. 2: Programs, which contains the FORTRAN code and documentation for each of the Lanczos procedures discussed in Vol. 1, can be found at the numerical analysis community repository, www.netlib.org, under the term "lanczos."
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Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Real 'symmetric' problems -- Lanczos procedures, real symmetric problems -- Tridiagonal matrices -- Lanczos procedures with no reorthogonalization for real symmetric problems -- Real rectangular matrices -- Nondefective complex symmetric matrices -- Block Lanczos procedures, real symmetric matrices
http://library.link/vocab/cover_art
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Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3018459'}
Extent
1 electronic text (xx, 273 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898719192
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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