An Alternative Lopsided PMHSS Iteration Method for Complex Symmetric Systems of Linear Equations

被引:3
|
作者
Pour, Hossein Noormohammadi [1 ]
机构
[1] Islamic Azad Univ, Anar Branch, Dept Math, Anar, Iran
关键词
Complex symmetric linear system; iterative method; HERMITIAN SPLITTING METHODS; SADDLE-POINT PROBLEMS;
D O I
10.4208/eajam.040117.190118a
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An iterative method for complex symmetric systems of linear equations is proposed. Estimates for the spectral radius of the method are obtained and sufficient convergence conditions are established. Numerical experiments show the efficiency of the method for linear systems with a dominant real part.
引用
收藏
页码:313 / 322
页数:10
相关论文
共 50 条
  • [31] A Note on Chebyshev Accelerated PMHSS Iteration Method for Block Two-by-Two Linear Systems
    Liang, Zhao-Zheng
    Tian, Jun-Lin
    Wan, Hong-Yi
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2023,
  • [32] Minimum residual modified HSS iteration method for a class of complex symmetric linear systems
    Zhang, Wei-Hong
    Yang, Ai-Li
    Wu, Yu-Jiang
    NUMERICAL ALGORITHMS, 2021, 86 (04) : 1543 - 1559
  • [33] A new two-parameter iteration method for indefinite complex symmetric linear systems
    Maeddeh Pourbagher
    Davod Khojasteh Salkuyeh
    Japan Journal of Industrial and Applied Mathematics, 2022, 39 : 145 - 163
  • [34] A new single-step iteration method for solving complex symmetric linear systems
    X. Y. Xiao
    X. Wang
    Numerical Algorithms, 2018, 78 : 643 - 660
  • [35] Novel minimum residual MHSS iteration method for solving complex symmetric linear systems
    Zhang, Wei-Hong
    Yang, Ai-Li
    Wu, Yu-Jiang
    APPLIED MATHEMATICS LETTERS, 2024, 148
  • [36] Minimum residual modified HSS iteration method for a class of complex symmetric linear systems
    Wei-Hong Zhang
    Ai-Li Yang
    Yu-Jiang Wu
    Numerical Algorithms, 2021, 86 : 1543 - 1559
  • [37] A new two-parameter iteration method for indefinite complex symmetric linear systems
    Pourbagher, Maeddeh
    Salkuyeh, Davod Khojasteh
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2022, 39 (01) : 145 - 163
  • [38] A modified generalized shift-splitting iteration method for complex symmetric linear systems
    Yan, Tongxin
    Ma, Changfeng
    APPLIED MATHEMATICS LETTERS, 2021, 117
  • [39] Fast and Unconditional Convergent MRMHSS Iteration Method for Solving Complex Symmetric Linear Systems
    Zhang, Wei-Hong
    Luo, Yi-Qing
    Wu, Yu-Jiang
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2024,
  • [40] A new single-step iteration method for solving complex symmetric linear systems
    Xiao, X. Y.
    Wang, X.
    NUMERICAL ALGORITHMS, 2018, 78 (02) : 643 - 660