Gauss-Seidel Method for AX plus BXC = D

被引:0
|
作者
Long, Jianhui [1 ]
He, Youmei [1 ]
Hu, Xiyan
机构
[1] Fujian Univ Technol, Dept Math & Phys, Fuzhou, Peoples R China
来源
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词
Gauss-Seidel method; Convergence; error estimates;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a new iterate algorithm to the block Gauss-Seidel method applied to linear systems of equations which can be written as a matrix equation AV+BXC=D. We drive convergence conditions and error estimates of the iterate algorithm. Some numerical examples to illustrate the behavior of the iterate algorithm are given.
引用
收藏
页码:210 / 213
页数:4
相关论文
共 50 条
  • [1] A parallel multiparametric Gauss-Seidel method
    Missirlis, N. M.
    Tzaferis, F. I.
    NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 2006, : 354 - +
  • [2] PRECONDITIONERS FOR THE INTERVAL GAUSS-SEIDEL METHOD
    KEARFOTT, RB
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (03) : 804 - 822
  • [3] Convergence of the Gauss-Seidel iterative method
    Jiang, Youyi
    Zou, Limin
    CEIS 2011, 2011, 15
  • [4] Gauss-Seidel method with oblique direction
    Wang, Fang
    Li, Weiguo
    Bao, Wendi
    Lv, Zhonglu
    RESULTS IN APPLIED MATHEMATICS, 2021, 12
  • [5] An accelerated Gauss-Seidel method for inverse modeling
    Ng, TM
    Farhang-Boroujeny, B
    Garg, HK
    SIGNAL PROCESSING, 2003, 83 (03) : 517 - 529
  • [6] On the improved Gauss-Seidel method for linear systems
    Liu, Qingbing
    CISST'09: PROCEEDINGS OF THE 3RD WSEAS INTERNATIONAL CONFERENCE ON CIRCUITS, SYSTEMS, SIGNAL AND TELECOMMUNICATIONS, 2009, : 105 - 109
  • [7] Experiments on asynchronous partial Gauss-Seidel method
    Nishida, H
    Kuang, HR
    ADVANCED PARALLEL PROCESSING TECHNOLOGIES, PROCEEDINGS, 2005, 3756 : 111 - 120
  • [8] A Gauss-Seidel projection method for micromagnetics simulations
    Wang, XP
    García-Cervera, CJ
    Weinan, E
    JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 171 (01) : 357 - 372
  • [9] Generalized line criterion for Gauss-Seidel method
    Garcia, M. V. P.
    Humes, C., Jr.
    Stern, J. M.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2003, 22 (01): : 91 - 97
  • [10] On convergence rate of the randomized Gauss-Seidel method
    Bai, Zhong-Zhi
    Wang, Lu
    Wu, Wen-Ting
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 611 : 237 - 252