预处理Hermitian和skew-Hermitian分裂迭代法  

Preconditioned Hermitian and skew-Hermitian splitting methods

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）》2010年第1期16-20,共5页Journal of Anhui University(Natural Science Edition)

基　　金：广西省自然科学基金资助项目(0728206)

摘　　要：对于系数矩阵为大型稀疏非Hermitian正定线性方程组,白中治、Golub和Ng提出了Hermitian和skew-Hermitian分裂迭代法(HSS).该论文提出一种预处理Hermitian和skew-Hermitian分裂迭代法(PHSS).理论分析该法收敛于线性方程组的唯一解.For large sparse non-Hermitian positive definite system of linear equations.Bai zhong zhi,Golub and Ng recently studied an Hermitian and skew-Hermitian splitting methods（HSS）.This article established a class of preconditioned Hermitian and skew-Hermitian splitting iteration methods.Theoretical analysis showed that the new method converged unconditionally to the unique solution of the linear system.

关 键 词：非Hermitian正定矩阵 Hermitian和skew-Hermitian分裂 预处理因子 迭代法 

分 类 号：O241.6[理学—计算数学]