A Modified Precondition in the Gauss-Seidel Method  

作　　者：Alimohammad Nazari Sajjad Zia Borujeni 

机构地区：[1]Department of Mathematics, Faculty of Science, Arak University, Arak, Iran

出　　处：《Advances in Linear Algebra & Matrix Theory》2012年第3期31-37,共7页线性代数与矩阵理论研究进展（英文）

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.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.

关 键 词：PRECONDITIONING GAUSS-SEIDEL Method Regular SPLITTING Z-MATRIX NONNEGATIVE Matrix 

分 类 号：O1[理学—数学]