Drazin Inverse of Anti-triangular Operator Matrices

被引：1
|
作者：
Wang, Hua [1 ]
Wu, Cai [2 ]
Huang, Junjie [2 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 03期
关键词：
Drazin inverse; Anti-triangular operator matrix; Drazin index; REPRESENTATION;
D O I：
10.1007/s40840-017-0533-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we investigate the existence of the Drazin inverse for the anti-triangular operator matrix open=with A2=A and CAB=0, and the explicit representation of MD is given in term of A,AD,B,C and (CB)D. In addition, it is shown that ind(M)2>ind(CB)+2, which is important to prove the existence and representation of the Drazin inverse for M.
引用
收藏
页码：1071 / 1083
页数：13
相关论文
共 50 条
  • [1] Drazin Inverse of Anti-triangular Operator Matrices
    Hua Wang
    Cai Wu
    Junjie Huang
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 1071 - 1083
  • [2] The Drazin inverse of anti-triangular block matrices
    Zhang, Daochang
    Jin, Yu
    Mosic, Dijana
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (04) : 2699 - 2716
  • [3] On the Drazin inverse of anti-triangular block matrices
    Zhang, Daochang
    Mosic, Dijana
    Chen, Liangyun
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (07): : 2428 - 2445
  • [4] The Drazin inverse of anti-triangular block matrices
    Daochang Zhang
    Yu Jin
    Dijana Mosić
    [J]. Journal of Applied Mathematics and Computing, 2022, 68 : 2699 - 2716
  • [5] The representation of the Drazin inverse of anti-triangular operator matrices based on resolvent expansions
    Huang, Junjie
    Shi, Yunfeng
    Chen, Alatancang
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 196 - 201
  • [6] Block Representations for the Drazin Inverse of Anti-Triangular Matrices
    Dopazo, E.
    Martinez-Serrano, M. F.
    Robles, J.
    [J]. FILOMAT, 2016, 30 (14) : 3897 - 3906
  • [7] Some results on the Drazin inverse of anti-triangular matrices
    Bu, Changjiang
    Sun, Lizhu
    Zhou, Jiang
    Wei, Yimin
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (11): : 1568 - 1576
  • [8] Exact expressions for the Drazin inverse of anti-triangular matrices
    Zhang, Daochang
    Zhao, Yue
    Mosic, Dijana
    Katsikis, Vasilios N.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 428
  • [9] g-Drazin inverse and group inverse for the anti-triangular block-operator matrices
    Chen, Huanyin
    Sheibani, Marjan
    [J]. FILOMAT, 2024, 38 (14) : 4973 - 4990
  • [10] Explicit Formulae for the Drazin Inverse of Anti-Triangular Block Matrices
    Zhang, Daochang
    Mosic, Dijana
    Jin, Yu
    [J]. FILOMAT, 2022, 36 (18) : 6215 - 6229
12345