Irreducible sign \(k\)-potent sign pattern matrices
type: Item
instance of: scholarly article
title: Irreducible sign \(k\)-potent sign pattern matrices
zbMATH Open document ID: 0935.15008
DOI: 10.1016/S0024-3795(99)00076-2
author: Jeffrey Stuart
author: Carolyn A. Eschenbach
author: S. J. Kirkland
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: A matrix whose entries are from the set \(\{ +, -, 0 \}\) is called a sign pattern matrix. A square sign pattern matrix \(A\) is called sign \(k\)-potent if \(k\) is the smallest positive integer for which \(A^{k+1} = A\) holds. (In the case \(k = 1\), \(A\) is called sign idempotent.) The authors not only present a full characterization of those irreducible sign pattern matrices that are sign \(k\)-potent but also provide canonical forms for such matrices.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 1371393
zbMATH Keywords: sign pattern matrices
zbMATH Keywords: sign \(k\)-potent matrices
zbMATH Keywords: irreducible matrices
zbMATH Keywords: reduced block matrices
zbMATH Keywords: canonical forms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1371393