Convergence of GAOR Iterative Method with Strictly α Diagonally Dominant Matrices

被引:36
|
作者
Wang, Guangbin [1 ]
Wen, Hao [1 ]
Wang, Ting [1 ]
机构
[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China
基金
中国国家自然科学基金;
关键词
GENERALIZED AOR METHOD; LINEAR-SYSTEMS;
D O I
10.1155/2011/713795
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We discuss the convergence of GAOR method for linear systems with strictly a diagonally dominant matrices. Moreover, we show that our results are better than ones of Darvishi and Hessari (2006), Tian et al. (2008) by using three numerical examples.
引用
收藏
页数:10
相关论文
共 50 条
  • [11] Subdirect Sums of Doubly Strictly Diagonally Dominant Matrices
    Li, Yating
    Chen, Xiaoyong
    Liu, Yi
    Gao, Lei
    Wang, Yaqiang
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [12] New Codes for Generalized Strictly Diagonally Dominant Matrices
    Wang, Jian
    Xu, Zhong
    Lu, Quan
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 3, 2009, : 136 - 139
  • [13] Some methods to prove that strictly diagonally dominant matrices are nonsingular matrices
    Chen, Zhaoying
    2018 NINTH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY IN MEDICINE AND EDUCATION (ITME 2018), 2018, : 1004 - 1006
  • [14] On the iterative criterion for generalized diagonally dominant matrices
    Li, L
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2002, 24 (01) : 17 - 24
  • [16] Convergence theory for the general GAOR type iterative method and the MSOR iterative method applied to H-matrices
    Wang, XM
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 250 : 1 - 19
  • [17] The Doubly Diagonally Dominant Degree of the Schur Complement of Strictly Doubly Diagonally Dominant Matrices and Its Applications
    Gu, Jiangliu
    Zhou, Shouwei
    Zhao, Jianxing
    Zhang, Jiafeng
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (02) : 265 - 285
  • [18] Subdirect sums of S-strictly diagonally dominant matrices
    Bru, Rafael
    Pedroche, Francisco
    Szyld, Daniel B.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2006, 15 : 201 - 209
  • [19] The Doubly Diagonally Dominant Degree of the Schur Complement of Strictly Doubly Diagonally Dominant Matrices and Its Applications
    Jiangliu Gu
    Shouwei Zhou
    Jianxing Zhao
    Jiafeng Zhang
    Bulletin of the Iranian Mathematical Society, 2021, 47 : 265 - 285
  • [20] An improved iterative algorithm for generalized diagonally dominant matrices
    Huang, Ting-Zhu
    Zhang, Xiao-Qing
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (01) : 742 - 746