求解正定线性方程组的PPS迭代方法  

PPS iteration methods for solving positive-definite linear equations

作　　者：刘仲云 梅聪辉 LIU Zhongyun;MEI Conghui(School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙410114

出　　处：《邵阳学院学报（自然科学版）》2022年第2期1-6,共6页Journal of Shaoyang University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11371075)。

摘　　要：提出了一种求解大型稀疏正定线性方程组的positive-definite/positive-definite splitting(PPS)迭代方法,理论分析显示:PPS迭代方法无条件收敛到线性方程组的唯一解,并且数值实验表明:在求解二维对流扩散问题中PPS迭代方法比HSS迭代方法更有效。The aim is to present a kind of positive-definite and positive-definite splitting(PPS)iteration scheme for solving large sparse positive-definite linear equations.It is proved that the PPS scheme converges to the unique solution of the system of linear equations unconditionally.And a numerical test demonstrates that the PPS scheme is more effective in solving the two-dimensional convection-diffusion problems than the HSS scheme.

关 键 词：正定线性方程组 分裂迭代方法 二维对流扩散 HSS 

分 类 号：O241.6[理学—计算数学]