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
关键词
Nonsingular non-Hermitian; positive semidefinite linear systems; SPHSS method; convergence; spectral properties; 65F10; 65F50;
D O I
暂无
中图分类号
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.
引用
收藏
相关论文
共 50 条
  • [31] A modified GHSS method for non-Hermitian positive definite linear systems
    Li, Cui-Xia
    Wu, Shi-Liang
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2012, 29 (02) : 253 - 268
  • [32] On convergence of splitting iteration methods for non-Hermitian positive-definite linear systems
    Wang, Chuan-Long
    Yan, Xi-Hong
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (02) : 292 - 305
  • [33] Convergence Theorems for the Splittings of Non-Hermitian Positive Definite Systems
    Wu, Jing
    Huang, Ting-Zhu
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 319 - 322
  • [34] Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
    Bai, Zhong-Zhi
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 25 (04)
  • [35] Hermitian and normal splitting methods for non-Hermitian positive definite linear systems
    Cao, Yang
    Mao, Lin
    Xu, Xun-Qian
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 690 - 702
  • [36] A Class of Preconditioners for non-Hermitian Positive Definite Linear Systems
    Li, Liang
    Huang, Ting-Zhu
    Ren, Zhi-Gang
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 28 - 31
  • [37] Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems
    Ai-Li Yang
    Yang Cao
    Yu-Jiang Wu
    BIT Numerical Mathematics, 2019, 59 : 299 - 319
  • [38] Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems
    Yang, Ai-Li
    Cao, Yang
    Wu, Yu-Jiang
    BIT NUMERICAL MATHEMATICS, 2019, 59 (01) : 299 - 319
  • [39] A SHSS-SS iteration method for non-Hermitian positive definite linear systems
    Li, Cui-Xia
    Wu, Shi-Liang
    RESULTS IN APPLIED MATHEMATICS, 2022, 13
  • [40] Convergence conditions for splitting iteration methods for non-Hermitian linear systems
    Wang, Li
    Bai, Zhong-Zhi
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (2-3) : 453 - 468