AOR type iterative methods for solving least squares problems

被引:0
|
作者
Wang, L [1 ]
机构
[1] Nanjing Normal Univ, Dept Numer Math, Nanjing 210097, Peoples R China
关键词
AOR type iterative methods; least squares problems; convergence;
D O I
10.1080/00207160108805053
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In order to solve least squares problems, the block SOR, block SSOR and block AOR iterative methods are proposed and investigated by some authors. In this paper, we generalize the usual block AOR method. Other five AOR type iterative methods are defined. Then the convergence and divergence regions for the AOR methods are discussed.
引用
收藏
页码:105 / 116
页数:12
相关论文
共 50 条
  • [1] AOR iterative methods for rank deficient least squares problems
    Huang, Yanli
    Song, Yongzhong
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2008, 26 (1-2) : 105 - 124
  • [2] Sor type iterative methods for solving least squares problems
    Song, Y
    Goro, O
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1998, 68 (1-2) : 99 - 118
  • [3] PRECONDITIONED ITERATIVE METHODS FOR SOLVING LINEAR LEAST SQUARES PROBLEMS
    Bru, Rafael
    Marin, Jose
    Mas, Jose
    Tuma, Miroslav
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2014, 36 (04): : A2002 - A2022
  • [4] Preconditioned iterative methods for solving weighted linear least squares problems
    Shen, Hai-long
    Shao, Xin-hui
    Zhang, Tie
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (03) : 375 - 384
  • [5] Preconditioned iterative methods for solving weighted linear least squares problems
    沈海龙
    邵新慧
    张铁
    [J]. Applied Mathematics and Mechanics(English Edition), 2012, 33 (03) : 375 - 384
  • [6] Preconditioned iterative methods for solving weighted linear least squares problems
    Hai-long Shen
    Xin-hui Shao
    Tie Zhang
    [J]. Applied Mathematics and Mechanics, 2012, 33 : 375 - 384
  • [7] Some new preconditioned generalized AOR methods for solving weighted linear least squares problems
    Huang, Zheng-Ge
    Wang, Li-Gong
    Xu, Zhong
    Cui, Jing-Jing
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (01): : 415 - 438
  • [8] On the Some New Preconditioned Generalized AOR Methods for Solving Weighted Linear Least Squares Problems
    Fallah, M.
    Edalatpanah, S. A.
    [J]. IEEE ACCESS, 2020, 8 : 33196 - 33201
  • [9] Some new preconditioned generalized AOR methods for solving weighted linear least squares problems
    Zheng-Ge Huang
    Li-Gong Wang
    Zhong Xu
    Jing-Jing Cui
    [J]. Computational and Applied Mathematics, 2018, 37 : 415 - 438