A comment on some recent results concerning the Drazin inverse of an anti-triangular block matrix

被引:1
作者
Deng, Chun Yuan [1 ]
机构
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
关键词
Anti-triangular matrix; Drazin inverse; Group inverse; Block matrix; REPRESENTATIONS;
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 note we give formulae for the Drazin inverse M-D of an anti-triangular special block matrix M = (A B C 0) under some conditions expressed in terms of the individual blocks, which generalize some recent results given by Changjiang Bu [7, 8] and Chongguang Cao [10], etc.
引用
收藏
页码:135 / 145
页数:11
相关论文
共 17 条
  • [1] Group inverse for a class 2x2 block matrices over skew fields
    Bu, Changjiang
    Zhao, Jiemei
    Zheng, Jinshan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) : 45 - 49
  • [2] Representation of the Drazin inverse for special block matrix
    Bu, Changjiang
    Zhao, Jiemei
    Tang, Jiapei
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4935 - 4943
  • [3] Bu CJ, 2009, ELECTRON J LINEAR AL, V18, P117
  • [4] Campbell S.T., 1983, Linear Multilinear Algebra, V14, P195, DOI DOI 10.1080/03081088308817556
  • [5] CAMPBELL SL, 1979, GEN INVERSE LINEAR T
  • [6] Cao C., 2006, INT MATH FORUM, V31, P1511
  • [7] Representations of the Drazin inverse for a class of block matrices
    Castro-González, N
    Dopazo, E
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 400 : 253 - 269
  • [8] Catral M, 2009, ELECTRON J LINEAR AL, V18, P98
  • [9] A note on the representation for the Drazin inverse of 2x2 block matrices
    Cvetkovic-Ilic, Dragana S.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (01) : 242 - 248
  • [10] Additive results for the generalized Drazin inverse in a Banach algebra
    Cvetkovic-Ilic, Dragana S.
    Djordjevic, Dragan S.
    Wei, Yimin
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 418 (01) : 53 - 61