Formulae for anti-triangular block matrices which include the Drazin inverse

The expressions for the Drazin inverse of two kinds of anti-triangular block matrices are developed under new and weaker assumptions relative to those already used recently in this subject. Applying our results concerning the Drazin inverse and anti-triangular block matrices, we propose some charact...

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Bibliographic Details
Published inApplicable analysis and discrete mathematics Vol. 19; no. 1; pp. 21 - 45
Main Authors Zhang, Daochang, Mosic, Dijana, Stanimirovic, Predrag
Format Journal Article
LanguageEnglish
Published 2025
Online AccessGet full text
ISSN1452-8630
2406-100X
2406-100X
DOI10.2298/AADM230418022Z

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Summary:The expressions for the Drazin inverse of two kinds of anti-triangular block matrices are developed under new and weaker assumptions relative to those already used recently in this subject. Applying our results concerning the Drazin inverse and anti-triangular block matrices, we propose some characterizations and representations of the Drazin inverse of a 2?2 block matrix. In this way, we expand some notable achievements in characterizing and representing generalized inverses of partitioned matrices.
ISSN:1452-8630
2406-100X
2406-100X
DOI:10.2298/AADM230418022Z