Convergence of GAOR method for doubly diagonally dominant matrices

被引：8
|
作者：
Wang, Guangbin [1 ]
Wen, Hao [1 ]
Li, Liangliang [1 ]
Li, Xue [1 ]
机构：
[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 18期
基金：
中国国家自然科学基金;
关键词：
GAOR method; Spectral radius; Convergence; Strictly doubly diagonally dominant matrix; Iterative matrix; GENERALIZED AOR METHOD; LINEAR-SYSTEMS;
D O I：
10.1016/j.amc.2011.02.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain bounds for the spectral radius of the matrix l(omega,r) which is the iterative matrix of the generalized accelerated overrelaxation (GAOR) iterative method. Moreover, we present one convergence theorem of the GAOR method. Finally, we present two numerical examples. (C) 2011 Elsevier Inc. All rights reserved.
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页码：7509 / 7514
页数：6
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