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
收藏
页码：7075 / 7092
页数：18
相关论文
共 50 条
  • [1] A GENERALIZED TWO-SWEEP SHIFT SPLITTING METHOD FOR NON-HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS
    Wu, Shi-Liang
    Li, Cui-Xia
    GLASNIK MATEMATICKI, 2022, 57 (01) : 149 - 159
  • [2] A generalized preconditioned HSS method for non-Hermitian positive definite linear systems
    Yang, Ai-Li
    An, Jing
    Wu, Yu-Jiang
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (06) : 1715 - 1722
  • [3] GENERALIZED PRECONDITIONED HERMITIAN AND SKEW-HERMITIAN SPLITTING METHODS FOR NON-HERMITIAN POSITIVE-DEFINITE LINEAR SYSTEMS
    Yin, Junfeng
    Dou, Quanyu
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 30 (04) : 404 - 417
  • [4] 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
  • [5] Minimum residual shift-splitting iteration method for non-Hermitian positive definite and positive semidefinite linear systems
    Yang, Ai-Li
    Dai, Yan-Xia
    Wang, Kai-Hua
    Zhang, Zheng-Cheng
    APPLIED MATHEMATICS LETTERS, 2025, 159
  • [6] A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems
    Wu, Yu-Jiang
    Li, Xu
    Yuan, Jin-Yun
    COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (01): : 367 - 381
  • [7] A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems
    Yu-Jiang Wu
    Xu Li
    Jin-Yun Yuan
    Computational and Applied Mathematics, 2017, 36 : 367 - 381
  • [8] On the convergence of a new splitting iterative method for non-Hermitian positive definite linear systems
    Wen, Rui-Ping
    Yan, Xi-Hong
    Wang, Chuan-Long
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 118 - 130
  • [9] POSITIVE DEFINITE AND SEMI-DEFINITE SPLITTING METHODS FOR NON-HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS
    Huang, Na
    Ma, Changfeng
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2016, 34 (03) : 300 - 316
  • [10] Hermitian and skew-Hermitian splitting methods for non-hermitian positive definite linear systems
    Bai, ZZ
    Golub, GH
    Ng, MK
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 24 (03) : 603 - 626
12345