A Modified Precondition in the Gauss-Seidel Method

• 作者: Alimohammad Nazari Sajjad Zia Borujeni
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: PRECONDITIONING GAUSS-SEIDEL Method Regular SPLITTING Z-MATRIX NONNEGATIVE Matrix
• 年，卷（期）: 2012,（3）
• 页码范围: 31-37
• 页数: 7页
• 分类号: O1

摘要

In recent years, a number of preconditioners have been applied to solve the linear systems with Gauss-Seidel method (see [1-7,10-12,14-16]). In this paper we use Sl instead of (S + Sm) and compare with M. Morimoto’s precondition [3] and H. Niki’s precondition [5] to obtain better convergence rate. A numerical example is given which shows the preference of our method.