Comparison results for Proper Double Splittings of Rectangular Matrices

被引:3
|
作者
Reddy, K. Appi [1 ]
Kurmayya, T. [1 ]
机构
[1] Natl Inst Technol Warangal, Dept Math, Warangal 506004, Andhra Pradesh, India
关键词
Double splittings; semi-monotone matrix; spectral radius; Moore-Penrose inverse; COMPARISON-THEOREMS; NONNEGATIVE SPLITTINGS; ITERATIVE METHODS;
D O I
10.2298/FIL1806273A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we consider two proper double splittings satisfying certain conditions, of a semi-monotone rectangular matrix A and derive new comparison results for the spectral radii of the corresponding iteration matrices. These comparison results are useful to analyse the rate of convergence of the iterative methods (formulated from the double splittings) for solving rectangular linear system Ax = b.
引用
收藏
页码:2273 / 2281
页数:9
相关论文
共 50 条
  • [1] PROPER SPLITTINGS OF RECTANGULAR MATRICES
    BERMAN, A
    NEUMANN, M
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 31 (02) : 307 - 312
  • [2] PROPER SPLITTINGS OF RECTANGULAR MATRICES
    BERMAN, A
    NEUMANN, M
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (02): : A306 - A306
  • [3] Comparison Results for Proper Nonnegative Splittings of Matrices
    Baliarsingh, Alekha Kumar
    Mishra, Debasisha
    [J]. RESULTS IN MATHEMATICS, 2017, 71 (1-2) : 93 - 109
  • [4] Comparison Results for Proper Nonnegative Splittings of Matrices
    Alekha Kumar Baliarsingh
    Debasisha Mishra
    [J]. Results in Mathematics, 2017, 71 : 93 - 109
  • [5] Reverse Proper Splittings of Rectangular Matrices
    Mishra, Debasisha
    [J]. FILOMAT, 2015, 29 (07) : 1491 - 1499
  • [6] More on proper nonnegative splittings of rectangular matrices
    Huang, Ting
    Miao, Shu-Xin
    [J]. AIMS MATHEMATICS, 2021, 6 (01): : 794 - 805
  • [7] Proper single splittings over proper cones of rectangular matrices
    Huang, Ting
    Miao, Shu-Xin
    [J]. SCIENCEASIA, 2023, 49 (06): : 939 - 946
  • [8] PROPER NONNEGATIVE SPLITTINGS OVER PROPER CONES OF RECTANGULAR MATRICES
    Huang, Ting
    Miao, Shu-xin
    [J]. OPERATORS AND MATRICES, 2022, 16 (02): : 371 - 399
  • [9] Comparison theorems for a subclass of proper splittings of matrices
    Mishra, Debasisha
    Sivakumar, K. C.
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (12) : 2339 - 2343
  • [10] Convergence and comparison results for double splittings of Hermitian positive definite matrices
    Shu-Qian Shen
    Ting-Zhu Huang
    Jin-Liang Shao
    [J]. Calcolo, 2007, 44 : 127 - 135