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1 Burnside Mathematics- Linear Algebra

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Iterative Solution of Large Linear Systems

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Iterative Solution of Large Linear Systems Cover

 

Synopses & Reviews

Publisher Comments:

This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain matrix norms. Contents include a review of matrix theory and general properties of iterative methods; SOR method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; second-degree methods, alternating direction-implicit methods, and a comparison of methods. 1971 edition.

Book News Annotation:

A textbook for a one-semester, first-year graduate course for mathematics students familiar with the fundamentals of matrix theory, real analysis, complex variable theory, and numerical analysis. The 1971 edition was published by Academic Press. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Includes a review of matrix theory and iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; more. 1971 edition.

Product Details

ISBN:
9780486425481
Author:
Young, David M.
Publisher:
Dover Publications
Author:
Young, David M.
Author:
Mathematics
Location:
Mineola, N.Y.
Subject:
General
Subject:
Algebra - Elementary
Subject:
Algebra - Linear
Subject:
Linear systems
Subject:
Iterative methods (Mathematics)
Subject:
Equations, simultaneous
Subject:
Iterative methods.
Subject:
General Mathematics
Subject:
Mathematical Analysis
Subject:
Mathematics-Algebra Other
Copyright:
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
00-289
Publication Date:
20030731
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
608
Dimensions:
8.5 x 5.38 in 1.43 lb

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Related Subjects


Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Algebra » Other
Science and Mathematics » Mathematics » General

Iterative Solution of Large Linear Systems Used Trade Paper
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Product details 608 pages Dover Publications - English 9780486425481 Reviews:
"Synopsis" by ,
Includes a review of matrix theory and iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; more. 1971 edition.

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