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

页码：19 / 28

页数：10

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