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Iterative Solution of Large Linear Systems
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Product Details
Author:
David M. Young
Format:
Paperback
Pages:
608
Publisher:
Dover Publications (July 2, 2003)
Language:
English
ISBN-13:
9780486425481
ISBN-10:
0486425487
Weight:
22.88oz
Dimensions:
5.375" x 8.5"
Case Pack:
14
Series:
Dover Books on Mathematics
File:
Dover-Dover_08032024_P7614837_onix30_Complete-20240803.xml
Folder:
Dover
As low as:
$28.45
List Price:
$29.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
College/higher education
Pub Discount:
65
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.
