Formulas for the drazin inverse of special block matrices

被引：40
|
作者：
Castro-González, N [1 ]
Dopazo, E [1 ]
Robles, J [1 ]
机构：
[1] Univ Politecn Madrid, Fac Informat, E-28660 Madrid, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 01期
关键词：
Drazin inverse; block matrix; binomial coefficients;
D O I：
10.1016/j.amc.2005.03.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Properties of the Drazin inverse of the matrix F = ((I)(E) (I)(0)) with E square, are investigated. Based on this approach, it is obtained an explicit formula for the Drazin inverse of matrices of the form A = ((I)(Q) (Pt)(UVt)), where U, V, P and Q are n x k. The representation for A(D) is given in terms of k x k matrices involving the individual blocks under some conditions. Some special cases are also analyzed. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：252 / 270
页数：19
相关论文
共 50 条
  • [31] GENERALIZED DRAZIN INVERSE OF CERTAIN BLOCK MATRICES IN BANACH ALGEBRAS
    Kolundzija, M. Z.
    Mosic, D.
    Djordjevic, D. S.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (02): : 529 - 542
  • [32] Block Representations for the Drazin Inverse of Anti-Triangular Matrices
    Dopazo, E.
    Martinez-Serrano, M. F.
    Robles, J.
    FILOMAT, 2016, 30 (14) : 3897 - 3906
  • [33] The Drazin inverse and Drazin ordering of quaternion matrices
    Zhao, Linlin
    Li, Ying
    Jia, Zhigang
    ADVANCES IN MATRIX THEORY AND APPLICATIONS, 2006, : 226 - 229
  • [34] Further Results on the Generalized Drazin Inverse of Block Matrices in Banach Algebras
    Milica Z. Kolundžija
    Dijana Mosić
    Dragan S. Djordjević
    Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 483 - 498
  • [35] DRAZIN INVERSE FOR RECTANGULAR MATRICES
    CLINE, RE
    SIAM REVIEW, 1978, 20 (03) : 622 - 622
  • [36] A DRAZIN INVERSE FOR RECTANGULAR MATRICES
    CLINE, RE
    GREVILLE, TNE
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1980, 29 (FEB) : 53 - 62
  • [37] On Drazin inverse of operator matrices
    Cvetkovic, Aleksandar S.
    Milovanovic, Gradimir V.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) : 331 - 335
  • [38] Further Results on the Generalized Drazin Inverse of Block Matrices in Banach Algebras
    Kolundzija, Milica Z.
    Mosic, Dijana
    Djordjevic, Dragan S.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) : 483 - 498
  • [39] A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices
    Guo, Li
    Hu, Guangli
    Yu, Deyue
    Luan, Tian
    MATHEMATICS, 2023, 11 (17)
  • [40] Some Representations for the Generalized Drazin Inverse of Block Matrices in Banach Algebras
    Mosic, Dijana
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (04) : 1137 - 1147
12345