Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute
type: Item
instance of: scholarly article
title: Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute
zbMATH Open document ID: 1247.15013
author: Chuang Xu
author: Runzhang Xu
published in: Linear Algebra and its Applications
publication date: 2012-09-06T00:00:00Z
Mathematics Subject Classification ID: 15A27
zbMATH DE Number: 6078334
zbMATH Keywords: tripotent matrix
zbMATH Keywords: involutory matrix
zbMATH Keywords: idempotent matrix
zbMATH Keywords: partitioned blocks
zbMATH Keywords: commutativity
zbMATH Keywords: linear combination
reviewed by: Andreas Arvanitoyeorgos
MaRDI profile type: Publication
full work available at URL: j.laa.2012.05.035
OpenAlex ID: W2085120770
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DOI: 10.1016/J.LAA.2012.05.035
review text: The authors study the tripotency of a linear combination of three matrices, which has a background in statistical theory. They demonstrate all the possible cases that lead to the tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute. By utilizing block technique and returning the partitioned matrices to their original forms, they derive the sufficient and necessary conditions such that a linear combination of three mutually commuting involutory matrices is tripotent.NEWLINENEWLINEEditorial remark: For an addendum and corrigendum cf. also [\textit{E. Kişi}, ibid. 477, 211--212 (2015; Zbl 1332.15041)].
description: scientific article; zbMATH DE number 6078334