Group inverse for the block matrices with an invertible subblock
type: Item
instance of: scholarly article
title: Group inverse for the block matrices with an invertible subblock
zbMATH Open document ID: 1181.15003
author: Changjiang Bu
author: Min Li
author: Kuize Zhang
author: Lan Zheng
published in: Applied Mathematics and Computation
publication date: 2009-10-09T00:00:00Z
review text: Suppose that \(M = \left(\begin{matrix} A & B \\ C & D \end{matrix} \right)\) (\(A\) is square) is a square block matrix with an invertible subblock over a skew field \(K\). The authors presented some necessary and sufficient conditions for the existence as well as the expressions of the group inverse for \(M\) under some conditions.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 5612883
zbMATH Keywords: skew field
zbMATH Keywords: group inverse
zbMATH Keywords: invertible subblock
zbMATH Keywords: \(\{1\}\)-inverse
MaRDI profile type: Publication
full work available at URL: j.amc.2009.04.054
OpenAlex ID: W2093438987
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DOI: 10.1016/J.AMC.2009.04.054
description: scientific article; zbMATH DE number 5612883