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<図書>
Guaranteed accuracy in numerical linear algebra

責任表示 by S.K. Godunov ... [et al.]
シリーズ Mathematics and its applications ; v. 252
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1993
本文言語 英語
大きさ xi, 535 p. : ill. ; 25 cm
概要 This volume deals with the theory of algorithms for solving systems of linear algebraic equations having a non-full-rank matrix of coefficients. This involves a range of interesting problems, such as...the bidiagonalization of matrices, the computation of singular values and eigenvalues, procedures for the deflation of singular values, etc. The algorithms which are discussed in this book lead to computer programs, which guarantee the accuracy of the computations, leading to unambiguous solutions. Some of the algorithms and techniques described are new; for example, the bounds which include underflow effects. Also discussed is a new approach for computing reliable eigenvectors from Sturm sequences of a symmetric tridiagonal matrix, and a procedure for characterizing unitary transformations which maintain Hessenberg form. For researchers whose work involves numerical methods of linear algebra. 続きを見る

所蔵情報


芸工2階 072032193004784 411.3/G55 1993

書誌詳細

一般注記 Includes bibliographical references (p. 523-527) and index
著者標目 Godunov, S. K. (Sergeĭ Konstantinovich)
件 名 LCSH:Differential equations, Linear -- Numerical solutions  全ての件名で検索
LCSH:Vector analysis
分 類 LCC:QA372
DC20:512/.5
書誌ID 1001044832
ISBN 0792323521
NCID BA20752807
巻冊次 ISBN:0792323521
登録日 2009.09.17
更新日 2009.09.17

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