ON THE CONVERGENCE OF SOME GENERALIZED ITERATIVE METHODS WITH PRECONDITIONING

被引：1
|
作者：
EVANS, DJ [1 ]
MARTINS, MM [1 ]
TRIGO, ME [1 ]
机构：
[1] UNIV COIMBRA,CTR MATH,P-3000 COIMBRA,PORTUGAL
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1992年 / 44卷 / 1-4期
关键词：
EXTRAPOLATED GENERALIZED GAUSS-SEIDEL (EGGS) METHOD; CONSISTENTLY ORDERED MATRIX; GENERALIZED ITERATIVE METHOD;
D O I：
10.1080/00207169208804092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new iterative method is presented which contains the usual Gauss-Seidel method and its generalizations. We define the extrapolated Generalized Gauss-Seidel method (EGGS) and give some convergence conditions. We also prove that this method is asymptotically faster, when the matrix A of (1.1) is a consistently ordered matrix. Finally, some sufficient convergence conditions are given for another generalized iterative method.
引用
收藏
页码：19 / 28
页数：10
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