THE SINGLE-STEP PRECONDITIONED HSS METHOD FOR SINGULAR LINEAR SYSTEMS

被引：0
|
作者：
Li, Chengliang [1 ,2 ]
Ma, Changfeng [1 ,2 ]
机构：
[1] Fujian Normal Univ, FJKLMAA, Coll Math & Stat, Fuzhou 350007, Peoples R China
[2] Fujian Normal Univ, Ctr Appl Math Fujian Prov, Fuzhou 350007, Peoples R China
来源：
APPLIED AND COMPUTATIONAL MATHEMATICS | 2021年 / 20卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Singular Linear System; Non-Hermitian Matrix; Positive Semi-Definite Matrix; SPHSS Method; Semi-Convergence; Spectral Properties; HERMITIAN SPLITTING METHODS; FOURIER COLLOCATION METHODS; BIFURCATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the single-step preconditioned HSS (SPHSS) iteration method to solve a class of singular, non-Hermitian, and positive semidefinite linear systems. The semi-convergence properties and the quasi-optimal parameter of the proposed method are derived under suitable constrains. Additionally, the spectral properties of the preconditioned matrix are discussed in detail. Numerical experiments are presented to show the correctness of the theoretical analysis and the effectiveness of the SPHSS method.
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页码：247 / 256
页数：10
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