A preconditioned two-sweep shift splitting method for non-Hermitian positive definite linear systems

被引：0

作者：

Wu, Shi-Liang ^{[1
]}

Li, Cui-Xia ^{[1
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Yunnan, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 21期

基金：

中国国家自然科学基金;

关键词：

Non-Hermitian matrix; precondition technique; shift splitting; convergence;

D O I：

10.1080/03081087.2021.1982855

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, to find the numerical solution of the linear systems with the non-Hermitian positive definite matrix, a preconditioned two-sweep shift splitting (PTSS) iteration method is introduced and its convergent conditions are discussed. When the PTSS method is used as a preconditioner, the eigenvalue distribution of the corresponding preconditioned matrix is given. Numerical experiments are reported to the efficiency of the PTSS method and the PTSS preconditioner.

引用

页码：7075 / 7092

页数：18

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