The Resource The symmetric eigenvalue problem, Beresford N. Parlett, (electronic resource)
The symmetric eigenvalue problem, Beresford N. Parlett, (electronic resource)
 Summary
 According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them
 Language
 eng
 Extent
 1 electronic text (xxiv, 398 p.)
 Note
 "This SIAM edition is an unabridged, corrected republication of the work first published by PrenticeHall, Inc., Englewood Cliffs, New Jersey, 1980"T.p. verso
 Contents

 Convergence theory for the Rayleigh quotient iteration
 Eigenvectors of tridiagonals
 Convergence theory, simpler than Wilkinson's, for Wilkinson's shift strategy in QL and QR
 New proofs and sharper results for error bounds
 Optimal properties of RayleighRitz approximations
 Approximation theory from Krylov subspaces, Paige's theorem for noisy Lanczos algorithms, and semiorthogonality among Lanczos vectors
 Four flavors of subspace iteration
 Isbn
 9781611971163
 Label
 The symmetric eigenvalue problem
 Title
 The symmetric eigenvalue problem
 Statement of responsibility
 Beresford N. Parlett
 Language
 eng
 Summary
 According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them
 Additional physical form
 Also available in print version.
 Cataloging source
 CaBNVSL
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Classics in applied mathematics
 Series volume
 20
 Target audience
 adult
 Label
 The symmetric eigenvalue problem, Beresford N. Parlett, (electronic resource)
 Link
 http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl20
 Note
 "This SIAM edition is an unabridged, corrected republication of the work first published by PrenticeHall, Inc., Englewood Cliffs, New Jersey, 1980"T.p. verso
 Bibliography note
 Includes bibliographical references and index
 Color
 black and white
 Contents
 Convergence theory for the Rayleigh quotient iteration  Eigenvectors of tridiagonals  Convergence theory, simpler than Wilkinson's, for Wilkinson's shift strategy in QL and QR  New proofs and sharper results for error bounds  Optimal properties of RayleighRitz approximations  Approximation theory from Krylov subspaces, Paige's theorem for noisy Lanczos algorithms, and semiorthogonality among Lanczos vectors  Four flavors of subspace iteration
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611971163&userID=ebscotest&password=ebscotest
 Dimensions
 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3128819'}
 Extent
 1 electronic text (xxiv, 398 p.)
 File format
 multiple file formats
 Form of item
 online
 Governing access note
 Restricted to subscribers or individual electronic text purchasers
 Isbn
 9781611971163
 Isbn Type
 (electronic bk.)
 Other physical details
 digital file.
 Publisher number
 CL20
 Reformatting quality
 access
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/ThesymmetriceigenvalueproblemBeresfordN./GaznIFCFeN8/" 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/ThesymmetriceigenvalueproblemBeresfordN./GaznIFCFeN8/">The symmetric eigenvalue problem, Beresford N. Parlett, (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>