Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz-Schur forms

被引：10

作者：

Mosic, Dijana ^{[1
]}

Djordjevic, Dragan S. ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 413卷 / 01期

关键词：

Generalized Drazin inverse; Schur complement; Banachiewicz-Schur form; Block matrix; PARTITIONED MATRICES;

D O I：

10.1016/j.jmaa.2013.11.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce new expressions for the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra under some conditions. We generalized some recent results for Drazin inverse and group inverse of complex matrices. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：114 / 120

页数：7

共 50 条

[41] New Formulae of the Drazin Inverse of Anti-Triangular Complex Block Matrices
Chen, Huanyin
Abdolyousefi, Marjan Sheibani
FILOMAT, 2022, 36 (12) : 4251 - 4264
[42] On deriving the generalized Drazin inverse of block matrices in a Banach algebra
Mosic, Dijana
QUAESTIONES MATHEMATICAE, 2016, 39 (04) : 511 - 521
[43] Representation for the generalized Drazin inverse of block matrices in Banach algebras
Mosic, Dijana
Djordjevic, Dragan S.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (24) : 12001 - 12007
[44] 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
[45] Representations for the Drazin inverse of a 2 x 2 block matrix
Hartwig, R
Li, XZ
Wei, YM
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2005, 27 (03) : 757 - 771
[46] Block algorithms for reordering standard and generalized Schur forms
Kressner, Daniel
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2006, 32 (04): : 521 - 532
[47] 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
[48] 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
[49] 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
[50] More results on generalized Drazin inverse of block matrices in Banach algebras
Mosic, Dijana
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (08) : 2468 - 2478

← 1 2 3 4 5 →