SOR法求解病态方程组的修正算法及其最优松弛因子  

On the research of modified SOR method in solving ill-conditioned equations and its optimal relaxation parameter

作　　者：方秀男[1] 汤凤香[1] 杨文泉[1] 李东[1] 邹晓范[1] 

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007

出　　处：《高师理科学刊》2013年第2期20-22,共3页Journal of Science of Teachers＇College and University

基　　金：佳木斯大学科研基金项目(L2010-114)

摘　　要：针对一类病态方程组的SOR法进行了研究,在引入残差的基础上,提出了求解的修正SOR方法,对其最优松弛因子进行了分析,并通过实例对修正算法做了进一步的探讨.Researched a kind of ill-conditioned equations with SOR method, and on the basis of the introduction of residual, proposed a new modified SOR method. Then the analysis about its optimal relaxation factor was provided. Finally further explored the modified algorithm through an example.

关 键 词：病态方程组 SOR法 残差 修正算法 最优松弛因子 

分 类 号：O242.26[理学—计算数学]