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] 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
  • [3] 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
  • [4] 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
  • [5] 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
  • [6] 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
  • [7] A shift-splitting preconditioner for non-Hermitian positive definite matrices
    Bai, Zhong-zhi
    Yin, Jun-feng
    Su, Yang-feng
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 24 (04) : 539 - 552
  • [8] A modified GHSS method for non-Hermitian positive definite linear systems
    Cui-Xia Li
    Shi-Liang Wu
    Japan Journal of Industrial and Applied Mathematics, 2012, 29 : 253 - 268
  • [9] 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
  • [10] Extrapolated Positive Definite and Positive Semi-Definite Splitting Methods for Solving Non-Hermitian Positive Definite Linear Systems
    Shokrpour, Raheleh
    Ebadi, Ghodrat
    APPLICATIONS OF MATHEMATICS, 2022, 67 (03) : 319 - 340
12345