A modified generalized shift-splitting iteration method for complex symmetric linear systems

被引:4
|
作者
Yan, Tongxin [1 ,2 ]
Ma, Changfeng [1 ,3 ]
机构
[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Peoples R China
[2] Fujian Univ Technol, Sch Comp Sci & Math, Fuzhou 350118, Peoples R China
[3] FJKLMAA & Ctr Appl Math Fujian Prov FJNU, Fuzhou 350007, Peoples R China
基金
中国国家自然科学基金;
关键词
Linear systems; Complex symmetric; Shift-splitting; Iterative method; PRECONDITIONER;
D O I
10.1016/j.aml.2021.107129
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we introduce a modified generalized shift-splitting (MGSS) iteration method for a class of complex symmetric linear systems. Meanwhile, we establish the convergence analysis and give the spectral properties of the corresponding preconditioned matrix. Finally, a numerical example illustrates the effectiveness of the MGSS. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] A rotated shift-splitting method for complex symmetric linear systems
    Nayak, Snigdhashree
    Mishra, Debasisha
    Mishra, Nachiketa
    NUMERICAL ALGORITHMS, 2025, 98 (01) : 85 - 115
  • [2] Generalized shift-splitting iteration method for a class of two-by-two linear systems
    Zeng, Min-Li
    Zhang, Guo-Feng
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 271 - 283
  • [3] A generalized shift-splitting preconditioner for complex symmetric linear systems
    Chen, Cai-Rong
    Ma, Chang-Feng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 344 : 691 - 700
  • [4] Generalized shift-splitting iteration method for a class of two-by-two linear systems
    Min-Li Zeng
    Guo-Feng Zhang
    Journal of Applied Mathematics and Computing, 2017, 53 : 271 - 283
  • [5] A two-sweep shift-splitting iterative method for complex symmetric linear systems
    Zhang, Li-Tao
    Zuo, Xian-Yu
    Wu, Shi-Liang
    Gu, Tong-Xiang
    Zhang, Yi-Fan
    Wang, Yan-Ping
    AIMS MATHEMATICS, 2020, 5 (03): : 1913 - 1925
  • [6] Efficient parameterized rotated shift-splitting preconditioner for a class of complex symmetric linear systems
    Li, Cheng-Liang
    Ma, Chang-Feng
    NUMERICAL ALGORITHMS, 2019, 80 (02) : 337 - 354
  • [7] A modified generalized shift-splitting method for nonsymmetric saddle point problems
    Huang, Zhuo-Hong
    Huang, Ting-Zhu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 328 : 381 - 399
  • [8] On preconditioned generalized shift-splitting iteration methods for saddle point problems
    Cao, Yang
    Miao, Shu-Xin
    Ren, Zhi-Ru
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (04) : 859 - 872
  • [9] Shift-splitting fixed point iteration method for solving generalized absolute value equations
    Xu Li
    Yi-Xin Li
    Yan Dou
    Numerical Algorithms, 2023, 93 : 695 - 710
  • [10] Shift-splitting fixed point iteration method for solving generalized absolute value equations
    Li, Xu
    Li, Yi-Xin
    Dou, Yan
    NUMERICAL ALGORITHMS, 2023, 93 (02) : 695 - 710