A note on the formulas for the Drazin inverse of the sum of two matrices

被引:13
|
作者
Bu, Changjiang [1 ]
Zhang, Chundi [1 ]
机构
[1] Harbin Engn Univ, Coll Sci, Dept Appl Math, Harbin 150001, Peoples R China
关键词
Drazin inverse; Index; Block matrix; REPRESENTATIONS; INDEX;
D O I
10.1016/j.laa.2013.01.026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we give the explicit formulas for the Drazin inverse of P + Q under some conditions. Furthermore we give the representations for the Drazin inverse of some block matrices (GRAPHICS) (A and D are square) under some conditions. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:565 / 576
页数:12
相关论文
共 50 条
  • [1] A note on the formulas for the Drazin inverse of the sum of two matrices
    Liu, Xin
    Yang, Xiaoying
    Wang, Yaqiang
    [J]. OPEN MATHEMATICS, 2019, 17 : 160 - 167
  • [2] Some Formulas on the Drazin Inverse for the Sum of Two Matrices and Block Matrices
    Abdul Shakoor
    Ilyas Ali
    Samad Wali
    Abdur Rehman
    [J]. Bulletin of the Iranian Mathematical Society, 2022, 48 : 351 - 366
  • [3] Some Formulas on the Drazin Inverse for the Sum of Two Matrices and Block Matrices
    Shakoor, Abdul
    Ali, Ilyas
    Wali, Samad
    Rehman, Abdur
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (02) : 351 - 366
  • [4] On the Drazin Inverse of the Sum of Two Matrices
    Liu, Xiaoji
    Wu, Shuxia
    Yu, Yaoming
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [5] THE DRAZIN INVERSE OF THE SUM OF TWO MATRICES
    Mosic, Dijana
    [J]. MATHEMATICA SLOVACA, 2018, 68 (04) : 767 - 772
  • [6] A note on computational formulas for the Drazin inverse of certain block matrices
    Bu, Changjiang
    Feng, Chengcheng
    Dong, Pengfei
    [J]. Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 631 - 640
  • [7] The Drazin inverse of the sum of two matrices and its applications
    Yang, Hu
    Liu, Xifu
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1412 - 1417
  • [8] The Drazin Inverse of the Sum of Two Matrices and its Applications
    Xia, Lingling
    Deng, Bin
    [J]. FILOMAT, 2017, 31 (16) : 5151 - 5158
  • [9] Representations for the Drazin Inverse of the Sum of Two Matrices and its Applications
    Guo, Li
    Chen, Jianlong
    Zou, Honglin
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (03) : 683 - 699
  • [10] Representations for the Drazin Inverse of the Sum of Two Matrices and its Applications
    Li Guo
    Jianlong Chen
    Honglin Zou
    [J]. Bulletin of the Iranian Mathematical Society, 2019, 45 : 683 - 699