On nonlinear SOR-like methods, III - Global convergence of SOR, SSOR and USSOR methods for convex problems

被引：0

作者：

Ishihara K. ^{[1
]}

Yamamoto T. ^{[2
]}

机构：

[1] Department of Applied Mathematics, Osaka Women's University, 2-1, Daisen-cho, Sakai

[2] Department of Mathematical Sciences, Faculty of Science, Ehime University

来源：

Japan Journal of Industrial and Applied Mathematics | 1998年 / 15卷 / 1期

关键词：

Convex problems; Global convergence theorems; Nonlinear SOR method; SSOR method; USSOR method;

D O I：

10.1007/BF03167399

中图分类号：

学科分类号：

摘要：

This paper gives global convergence theorems for the SOR, SSOR and USSOR methods applied to a system of nonlinear equations F(x) = 0 in Rn, where F is the gradient of a twice differentiable elliptic functional.

引用

页码：135 / 145

页数：10

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