The symmetric eigenvalue problem /

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Bibliographic Details
Author / Creator:Parlett, Beresford N.
Imprint:Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1998.
Description:1 online resource (xxiv, 398 pages) : digital file
Language:English
Series:Classics in applied mathematics ; 20
Classics in applied mathematics ; 20.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12577447
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Other authors / contributors:Society for Industrial and Applied Mathematics.
ISBN:9781611971163
1611971160
0898714028
9780898714029
Notes:Title from title screen, viewed 04/05/2011.
"This SIAM edition is an unabridged, corrected republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1980"--Title page verso.
Includes bibliographical references and index.
Restricted to subscribers or individual electronic text purchasers.
Also available in print version.
English.
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.
Other form:Print version: 0898714028 9780898714029
Publisher's no.:CL20 SIAM