Comparison theorems for a subclass of proper splittings of matrices

被引:14
|
作者
Mishra, Debasisha [1 ]
Sivakumar, K. C. [2 ]
机构
[1] Inst Math & Applicat, Bhubaneswar 751003, Orissa, India
[2] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India
关键词
Moore-Penrose inverse; Comparison theorems; Proper splitting; Nonnegativity; REGULAR SPLITTINGS; INVERSE;
D O I
10.1016/j.aml.2012.06.028
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, a convergence theorem and several comparison theorems are presented for a subclass of proper splittings of matrices introduced recently. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2339 / 2343
页数:5
相关论文
共 50 条
  • [21] Comparison theorems for splittings of M-matrices in (block) Hessenberg form
    Luca Gemignani
    Federico Poloni
    BIT Numerical Mathematics, 2022, 62 : 849 - 867
  • [22] Comparison theorems for splittings of M-matrices in (block) Hessenberg form
    Gemignani, Luca
    Poloni, Federico
    BIT NUMERICAL MATHEMATICS, 2022, 62 (03) : 849 - 867
  • [23] A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
    Nabben, R
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 233 : 67 - 80
  • [24] Proper single splittings over proper cones of rectangular matrices
    Huang, Ting
    Miao, Shu-Xin
    SCIENCEASIA, 2023, 49 (06): : 939 - 946
  • [25] PROPER NONNEGATIVE SPLITTINGS OVER PROPER CONES OF RECTANGULAR MATRICES
    Huang, Ting
    Miao, Shu-xin
    OPERATORS AND MATRICES, 2022, 16 (02): : 371 - 399
  • [26] More on proper nonnegative splittings of rectangular matrices
    Huang, Ting
    Miao, Shu-Xin
    AIMS MATHEMATICS, 2021, 6 (01): : 794 - 805
  • [27] WEAK MONOTONICITY OF MATRICES AND SUBCLASSES OF PROPER SPLITTINGS
    Sushama, Agarwal N.
    Premakumari, K.
    Sivakumar, K. C.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2012, 24 : 83 - 94
  • [28] INDEX-PROPER NONNEGATIVE SPLITTINGS OF MATRICES
    Giri, Chinmay Kumar
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2016, 6 (02): : 103 - 113
  • [29] Comparison theorems for regular splittings on block partitions
    Woznicki, Zbigniew I.
    Linear Algebra and Its Applications, 1997, 253
  • [30] Comparison theorems for regular splittings on block partitions
    Woznicki, ZI
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 253 : 199 - 207