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预处理并行AOR迭代法
引用本文:石艳超,徐安农.预处理并行AOR迭代法[J].安徽大学学报(自然科学版),2008,32(6).
作者姓名:石艳超  徐安农
作者单位:桂林电子科技大学,数学与计算科学学院,广西,桂林,541004
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.

关 键 词:线性方程组  预处理因子  H-矩阵  松弛法  AOR迭代法

Preconditioned parallel AOR iterative method
SHI Yan-chao,XU An-nong.Preconditioned parallel AOR iterative method[J].Journal of Anhui University(Natural Sciences),2008,32(6).
Authors:SHI Yan-chao  XU An-nong
Abstract: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.
Keywords:system of linear equation  pre-condition factor  H-matrix  relaxed method  AOR iterative method
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