Reducible pattern \(k\)-potent ray pattern matrices
type: Item
instance of: scholarly article
title: Reducible pattern \(k\)-potent ray pattern matrices
zbMATH Open document ID: 1040.15019
DOI: 10.1016/S0024-3795(02)00514-1
author: Jeffrey Stuart
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: An \(n \times n \) ray pattern is the set of all \(n \times n \) complex matrices with a specified zero-nonzero pattern and with the argument specified for each nonzero entry. A ray pattern \(A\) is said to be pattern \(k\)-potent if \(k\) is the smallest positive integer such that \(A^{k+1} = A\) as ray patterns. The author extends some results of \textit{J. Stuart}, \textit{L. Beasley} and \textit{B. Shader} [Linear Algebra Appl. 346, No. 1--3, 261--271 (2002; Zbl 0998.15030)] to the reducible ray patterns and supplies his article with interesting examples.
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1880065
zbMATH Keywords: ray pattern matrix
zbMATH Keywords: reducible ray patterns
reviewed by: Bambina Larato
MaRDI profile type: Publication
cites work: Combinatorial matrix theory
cites work: Irreducible powerful ray pattern matrices
cites work: Reducible sign \(k\)-potent sign pattern matrices
cites work: Irreducible, pattern \(k\)-potent ray pattern matrices
cites work: Irreducible sign \(k\)-potent sign pattern matrices
cites work: Matrices that commute with a permutation matrix
full work available at URL: s0024-3795(02)00514-1
OpenAlex ID: W4206684498
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description: scientific article; zbMATH DE number 1880065