Representations for the Drazin Inverse of a Modified Matrix

被引：4
|
作者：
Zhang, Daochang [1 ]
Du, Xiankun [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
来源：
FILOMAT | 2015年 / 29卷 / 04期
关键词：
Drazin inverse; generalized Schur complement; modified matrix; Sherman-Morrison-Woodbury formula; MOORE-PENROSE INVERSE;
D O I：
10.2298/FIL1504853Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper expressions for the Drazin inverse of a modified matrix A - (CDB)-B-d are presented in terms of the Drazin inverses of A and the generalized Schur complement D - BA(d)C under weaker restrictions. Our results generalize and unify several results in the literature and the Sherman-Morrison-Woodbury formula.
引用
收藏
页码：853 / 863
页数：11
相关论文
共 50 条
  • [1] Some representations for the Drazin inverse of a modified matrix
    Abdul Shakoor
    Hu Yang
    Ilyas Ali
    [J]. Calcolo, 2014, 51 : 505 - 514
  • [2] Representations for the weighted Drazin inverse of a modified matrix
    Chen, Jianbiao
    Xu, Zhaoliang
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) : 202 - 209
  • [3] Some representations for the Drazin inverse of a modified matrix
    Shakoor, Abdul
    Yang, Hu
    Ali, Ilyas
    [J]. CALCOLO, 2014, 51 (03) : 505 - 514
  • [4] 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
  • [5] 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
  • [6] The Drazin inverse of a modified matrix
    Wei, YM
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 125 (2-3) : 295 - 301
  • [7] On deriving the Drazin inverse of a modified matrix
    Dopazo, E.
    Martinez-Serrano, M. F.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (04) : 1678 - 1687
  • [8] 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
  • [9] Expressions for the Drazin Inverse of a Modified Matrix
    Stojkovic, Lazar
    Mosic, Dijana
    [J]. FILOMAT, 2018, 32 (18) : 6387 - 6394
  • [10] A NOTE ON THE DRAZIN INVERSE OF A MODIFIED MATRIX
    Cvetkovic, Dragana S.
    Ljubisavljevic, Jelena
    [J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (02) : 483 - 487
12345