Convergence Properties of the Single-Step Preconditioned HSS Method for Non-Hermitian Positive Semidefinite Linear Systems

被引：0
|
作者：
Chengliang Li
Changfeng Ma
机构：
[1] Fujian Normal University,College of Mathematics and Informatics and FJKLMAA
来源：
Mediterranean Journal of Mathematics | 2019年 / 16卷
关键词：
Nonsingular non-Hermitian; positive semidefinite linear systems; SPHSS method; convergence; spectral properties; 65F10; 65F50;
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学科分类号：
摘要：
For the nonsingular, non-Hermitian and positive semidefinite linear systems, we derive the convergence results of the single-step preconditioned HSS (SPHSS) method under suitable constraints. Additionally, we consider the acceleration of the SPHSS method by Krylov subspace methods and some spectral properties of the preconditioned matrix are established. Numerical experiments are presented to further examine the effectiveness of the proposed method either as a solver or a preconditioner.
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