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)
- 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
- Language
- eng
- Extent
- 1 electronic text (xx, 273 p.)
- 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."
- 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
- Isbn
- 9780898719192
- 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
- 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
- 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
- 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
- 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."
- 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
- https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9780898719192&userID=ebsco-test&password=ebsco-test
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Lanczos-algorithms-for-large-symmetric-eigenvalue/4LoG9nw5cso/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Lanczos-algorithms-for-large-symmetric-eigenvalue/4LoG9nw5cso/">Lanczos algorithms for large symmetric eigenvalue computations, Vol. 1, Theory, Jane K. Cullum, Ralph A. Willoughby, (electronic resource)</a></span> - <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>
