Preconditioned Method of L-matriz Linear System

摘要：

In 1991 A.D. Gunawardena et al. first reported that the convergence rate of the Gauss-Seidel method with a preconditioning matrix I+S is superior to that of the basic iterative method. In this paper, we use stair matrix P as the preconditioning matrix. If the coefficient matrix A is a nonsingular L-matrix, the preconditioned method yields considerable improvement in the rate of convergence for the Gauss-Seidel type iterative method. Finally, a numerical example shows the advantage of this method.

关键词： L-matriz preconditioned iterative method

作者: Fu-Jiao Ren Rui-Ping Wen

作者单位: Department of Mathematics, Taiyuan Normal University, Taiyuan, 030012, Shanxi Province, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 933-936

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）