Rank equalities related to the generalized inverse AT,S(2) with applications

被引：6
|
作者：
Wang, Qing-Wen [1 ]
Song, Guang-Jing [1 ]
Lin, Chun-Yan [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shandong Finance Univ, Sch Stat & Sci, Jinan 250014, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 205卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Rank; Linear matrix expression; Moore-Penrose inverse; Drazin inverse; Weighted Moore-Penrose inverse; Block matrix;
D O I：
10.1016/j.amc.2008.08.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A variety of rank formulas of some matrix expressions and certain partitioned matrices with respect to the generalized inverse A(T,S)((2)) are established. Some necessary and sufficient conditions are given by using the rank formulas presented in this paper for two, three and four ordered matrices to be independent in the generalized inverse Ad(T,S)((2)). As special cases, necessary and sufficient conditions are derived for two, three and four ordered matrices to be independent in the weighted Moore-Penrose inverse and the Drazin inverse. Some known results can be regarded as the special cases of the results in this paper. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：370 / 382
页数：13
相关论文
共 50 条
  • [31] Rank Equalities Related to the Generalized Inverses A(B1,C1), D(B2,C2) of Two Matrices A and D
    Wang, Wenjie
    Xu, Sanzhang
    Benitez, Julio
    SYMMETRY-BASEL, 2019, 11 (04):
  • [32] Determinantal representation of the generalized inverse AT,S(2) over integral domains and its applications
    Yu, Yaoming
    Wei, Y.
    LINEAR & MULTILINEAR ALGEBRA, 2009, 57 (06): : 547 - 559
  • [33] General Perturbation of the Generalized Inverse AT,S(2)
    Qin, Mei
    Liu, Minghua
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 250 - 253
  • [34] On continuity of the generalized inverse A(2)T,S
    Wei, YM
    Wang, GR
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 289 - 295
  • [35] The representation and computation of generalized inverse AT,(2)S
    Sheng, Xingping
    Chen, Guoliang
    Gong, Yi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 213 (01) : 248 - 257
  • [36] The representation and approximation for the generalized inverse AT,S(2)
    Wei, YM
    Wu, HB
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (2-3) : 263 - 276
  • [37] On integral representation of the generalized inverse AT,S(2)
    Wei, YM
    Djordjevic, DS
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (01) : 189 - 194
  • [38] Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications
    Yongge Tian
    Journal of Inequalities and Applications, 2016
  • [39] Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications
    Tian, Yongge
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [40] ITERATIVE METHOD FOR COMPUTATION OF GENERALIZED INVERSE AND MATRIX RANK
    GUPTA, NN
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1971, SMC1 (01): : 89 - &
12345