Iterative Solution of Large Linear Systems

Iterative Solution of Large Linear Systems

by David M. Young
     
 

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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

Overview


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.

Product Details

ISBN-13:
9780486425481
Publisher:
Dover Publications
Publication date:
07/02/2003
Series:
Dover Books on Mathematics Series
Edition description:
DOVER
Pages:
608
Product dimensions:
5.36(w) x 8.58(h) x 1.22(d)

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