Drazin invertibility for matrices over an arbitrary ring
type: Item
instance of: scholarly article
title: Drazin invertibility for matrices over an arbitrary ring
zbMATH Open document ID: 1056.15005
DOI: 10.1016/S0024-3795(03)00618-9
published in: Linear Algebra and its Applications
publication date: 2004-08-06T00:00:00Z
review text: This paper deals with the Drazin inverse of a matrix \(A\) over an arbitrary ring \(R\). Characterizations for its existence and for the existence of the Drazin inverse of the product \(PAQ\) (where \(P\) and \(Q\) are matrices over \(R\) and there exist \(P'\) and \(Q'\) such that \(P'PA=A=AQQ'\)) are given and expressions for its computation are also presented. In addition, the case of Drazin inverses of companion matrices over general rings is studied by means of lower triangular Toeplitz matrices.
reviewed by: Néstor Thome
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 2083511
zbMATH Keywords: rings
zbMATH Keywords: Drazin invertibility
zbMATH Keywords: group invertibility
zbMATH Keywords: companion matrix
zbMATH Keywords: Drazin inverse
zbMATH Keywords: lower triangular Toeplitz matrices
author: R. Puystjens
author: M. C. Gouveia
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2083511