SOR法求解病态方程组的修正算法及其最优松弛因子

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.