Some results for the Drazin inverses of the sum of two matrices and some block matrices
type: Item
instance of: scholarly article
title: Some results for the Drazin inverses of the sum of two matrices and some block matrices
zbMATH Open document ID: 1397.15004
DOI: 10.1155/2013/804313
author: Abdul Shakoor
author: Hu Yang
author: Ilyas Ali
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We give a formula of \((P+Q)^D\) under the conditions \(P^2+QPQ=0\), \(P^3Q=0\), and \(PQPQ=0\). Then, we apply it to give some expressions for the Drazin inverse of block matrix \(M=\begin{pmatrix} A&B\\C&D\end{pmatrix}\) (\(A\) and \(D\) are square matrices) under some conditions, generalizing some recent results in the literature. Finally, numerical examples are given to illustrate our results.
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 6950883
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/804313
OpenAlex ID: W2091460780
Wikidata QID: Q59004571
Recommended article: THE DRAZIN INVERSES OF THE SUM OF TWO MATRICES AND BLOCK MATRIX
Recommended article: Some formulas on the Drazin inverse for the sum of two matrices and block matrices
Recommended article: Representations for the Drazin inverses of the sum of two matrices and some block matrices
Recommended article: On some previous results for the Drazin inverse of block matrices
Recommended article: Q5368027
Recommended article: On the Drazin inverse of the sum of two matrices
Recommended article: The Drazin inverse of the sum of two matrices and its applications
Recommended article: The drazin inverse of the sum of two matrices and its applications
Recommended article: Additive results for the Drazin inverse of block matrices and applications
Recommended article: A note on the formulas for the Drazin inverse of the sum of two matrices
description: scientific article; zbMATH DE number 6950883