摘要
本文就一类特殊矩阵所对应的线性方程组,采用加速松弛法迭代求解时,用先求出最优的松弛因子,再得到加速因子的最优,给出了G.Avdelas＆A.Hadjidimos所得最优因子的一个简单明了的几何证明。
Application of the accelerate overrelaxation (AOR) iterative methbd to linear systems Ax=b with matrix possessing consistantly order and nonvanishing diagonal elements. We first determinated of the optimal factor for the overrelaxation, next determinated Of the optimal factor for the accelerate. The results of G. Avdelas & A. Hadjidmos were demonstrated with geometric method which is simplive and cleare than their original proof.
出处
《苏州大学学报（自然科学版）》
CAS
1991年第3期256-260,共5页
Journal of Soochow University(Natural Science Edition)
关键词
线性方程组
加速松驰迭代
最优因子
Accelerate Overrelaxation (AOR)
Optimal ovevrelation factot
Optimal accelerate factor
