On generalized inverses of \(m \times n\) matrices over a pseudoring
type: Item
instance of: scholarly article
title: On generalized inverses of \(m \times n\) matrices over a pseudoring
zbMATH Open document ID: 1480.15004
author: Lin Yang
author: Shengliang Yang
published in: Vietnam Journal of Mathematics
publication date: 2021-12-03T00:00:00Z
review text: The authors give a characterization of matrices having generalized inverses. More specifically, they introduce and study a space decomposition method, and prove that a matrix is decomposable if and only if it has a generalized inverse. Finally, they establish necessary and sufficient conditions for a matrix to possess various types of \(g\)-inverses, including the Moore-Penrose inverse.
reviewed by: Zhen Chao
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 7438396
zbMATH Keywords: idempotent matrix
zbMATH Keywords: regular matrix
zbMATH Keywords: generalized inverse
zbMATH Keywords: space decomposition
MaRDI profile type: Publication
full work available at URL: s10013-021-00502-x
OpenAlex ID: W3162401734
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DOI: 10.1007/S10013-021-00502-X
description: scientific article; zbMATH DE number 7438396