Note to the mixed-type splitting iterative method for Z-matrices linear systems

被引：6
|
作者：
Cheng, Guang-Hui [1 ]
Huang, Ting-Zhu [1 ]
Shen, Shu-Qian [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 220卷 / 1-2期
关键词：
splitting iterative method; SOR and AOR methods; linear system; Z-matrix;
D O I：
10.1016/j.cam.2007.06.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the mixed-type splitting iterative method is established for solving the linear system Ax = b, where A is a Z-mattix. The iterative method contains an auxiliary matrix L-1(D-1) that is restricted to be nonnegative strictly lower triangular (diagonal) matrix. Comparison theorems show that the proper choice of the L-1(D-1) can lead to the convergence rate of the Mixed-Type Iterative Method faster than that of the SOR and AOR type iterative methods for solving Ax = b. Numerical results are presented. (C) 2007 Elsevier B.V. All rights reserved.
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页码：1 / 7
页数：7
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