GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE

被引：6
|
作者：
白中治
王德人
机构：
[1] Department of Mathematics Shanghai University of Science and Technology
[2] PRC.
[3] Shanghai 201800
来源：
Numerical Mathematics(Theory,Methods and Applications) | 1993年 / 01期
关键词：
System of linear equations; matrix mullisplilting; relaxation method; convergence; divergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix.
引用
收藏
页码：87 / 100
页数：14
相关论文
共 50 条
  • [21] Weaker Convergence of Global Relaxed Multisplitting USAOR Methods for an H-matrix
    Li-Tao Zhang
    Ding-De Jiang
    Xian-Yu Zuo
    Ying-Chao Zhao
    Mobile Networks and Applications, 2021, 26 : 755 - 765
  • [22] Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices
    Zhang, Li-Tao
    Li, Jian-Lei
    Gu, Tong-Xiang
    Liu, Xing-Ping
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [23] CONVERGENCE OF RELAXED PARALLEL MULTISPLITTING METHODS
    FROMMER, A
    MAYER, G
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 119 : 141 - 152
  • [24] Weaker Convergence of Global Relaxed Multisplitting USAOR Methods for anH-matrix
    Zhang, Li-Tao
    Jiang, Ding-De
    Zuo, Xian-Yu
    Zhao, Ying-Chao
    MOBILE NETWORKS & APPLICATIONS, 2021, 26 (02): : 755 - 765
  • [25] PARALLEL NONLINEAR MULTISPLITTING RELAXATION METHODS
    WANG DEREN AND BAI ZHONGZHI(Department of Mathematics
    Applied Mathematics:A Journal of Chinese Universities, 1995, (03) : 251 - 266
  • [26] THE WEAKER CONVERGENCE OF NON-STATIONARY MATRIX MULTISPLITTING METHODS FOR ALMOST LINEAR SYSTEMS
    Zhang, Li-Tao
    Huang, Ting-Zhu
    Cheng, Shao-Hua
    Gu, Tong-Xiang
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (04): : 1423 - 1436
  • [27] Applied convergence results of relaxed matrix multisplitting chaotic methods for H-matrices
    Cheng Shao-Hua
    Zhang Li-Tao
    COMPUTER AND INFORMATION TECHNOLOGY, 2014, 519-520 : 874 - 877
  • [28] Convergence of some asynchronous nonlinear multisplitting methods
    Szyld, DB
    Xu, JJ
    NUMERICAL ALGORITHMS, 2000, 25 (1-4) : 347 - 361
  • [29] Convergence of some asynchronous nonlinear multisplitting methods
    Daniel B. Szyld
    Jian-Jun Xu
    Numerical Algorithms, 2000, 25 : 347 - 361
  • [30] ON THE CONVERGENCE OF ASYNCHRONOUS NESTEDMATRIX MULTISPLITTING METHODS FOR LINEARSYSTEMS
    Zhong-zhi Bai(State Key Laboratory of Scientific/Engineering Computing
    Journal of Computational Mathematics, 1999, (06) : 575 - 588
12345