Representation for the Drazin inverse of the block matrix

被引：0
|
作者：
Bu, Tanyi [1 ]
Zhang, Chundi [2 ]
机构：
[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Coll Sci, Dept Appl Math, Harbin 150001, Peoples R China
来源：
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012) | 2012年
关键词：
Drazin inverse; Block matrix;
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 paper, we give an explicit representation for the Drazin inverse of the matrix ((A)(B) (A)(0)) (A and B are square) under the conditions (I - A(pi))(BA - AB)(I - A(pi)) = 0 and BAA(pi) = AA(pi)B, which generalizes the results given by Bu et al. (Appl. Math. Comput. 217 (2011) 4935-4943) and Gonzalez et al. (Linear Algebra Appl. 400 (2005) 253-269).
引用
收藏
页码：211 / 214
页数：4
相关论文
共 50 条
  • [1] 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
  • [2] Representations for Drazin inverse of block matrix
    Ljubisavljevic, Jelena
    Cvetkovic-Ilic, Dragana S.
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 481 - 497
  • [3] Further results on the representation of the Drazin inverse of a 2 x 2 block matrix
    Dopazo, E.
    Martinez-Serrano, M. F.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (08) : 1896 - 1904
  • [4] Further Expressions on the Drazin Inverse for Block Matrix
    Abdul Shakoor
    Ilyas Ali
    Samad Wali
    Abdur Rehman
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 833 - 837
  • [5] Further Expressions on the Drazin Inverse for Block Matrix
    Shakoor, Abdul
    Ali, Ilyas
    Wali, Samad
    Rehman, Abdur
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (03): : 833 - 837
  • [6] BLOCK REPRESENTATIONS OF THE DRAZIN INVERSE OF A BIPARTITE MATRIX
    Catral, M.
    Olesky, D. D.
    Van den Driessche, P.
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 98 - 107
  • [7] The existence and representation of the Drazin inverse of a 2 x 2 block matrix over a ring
    Zou, Honglin
    Mosic, Dijana
    Chen, Jianlong
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (11)
  • [8] Explicit representations of the Drazin inverse of block matrix and modified matrix
    Cvetkovic-Ilic, Dragana S.
    Chen, Jianbiao
    Xu, Zhaoliang
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2009, 57 (04): : 355 - 364
  • [9] THE DRAZIN INVERSE OF A SEMILINEAR TRANSFORMATION AND ITS MATRIX REPRESENTATION
    BEVIS, JH
    HALL, FJ
    HARTWIG, RE
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 97 : 229 - 242
  • [10] The generalized Drazin inverse of a block matrix in a Banach algebra
    Mosic, Dijana
    [J]. AEQUATIONES MATHEMATICAE, 2015, 89 (03) : 849 - 855
12345