预处理并行AOR迭代法  

Preconditioned parallel AOR iterative method

作　　者：石艳超[1] 徐安农[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《安徽大学学报（自然科学版）》2008年第6期18-20,共3页Journal of Anhui University(Natural Science Edition)

摘　　要：AOR迭代法是经典的迭代法,不同的AOR迭代法和并行AOR迭代法被广泛研究.近年来,预条件迭代法引起了人们的极大兴趣,提出了多种预条件因子.论文提出预处理并行AOR迭代法,并给出了相应的收敛性和比较理论.最后,通过数值例子说明新算法的有效性.AOR iteration method was a classic iteration method. Here, different AOR iteration methods and parallel AOR iteration methods have been extensively studied. In recent years, pre-condition iteration method has aroused people＇s enormous interest, many kinds of pre-condition factors were proposed. In this paper, we presented preconditioned parallel AOR iteration method, and gave the corresponding convergence of theory and comparative. Numerical example was also given to illustrate the effectiveness of the new algorithm.

关 键 词：线性方程组 预处理因子 H-矩阵 松弛法 AOR迭代法 

分 类 号：O241.6[理学—计算数学]