On the Jordan form of an irreducible matrix with eventually non-negative powers
type: Item
instance of: scholarly article
title: On the Jordan form of an irreducible matrix with eventually non-negative powers
zbMATH Open document ID: 0945.15008
DOI: 10.1016/S0024-3795(99)00182-2
published in: Linear Algebra and its Applications
publication date: 2000-03-21T00:00:00Z
review text: In terms of the concept of a Frobenius collection of elementary Jordan blocks which is introduced, the paper characterizes the collection of elementary Jordan blocks that appear in the Jordan form of an irreducible \(m\)-cyclic eventually non-negative matrix whose \(m\)th power is permutationally similar to a direct sum of \(m\) eventually positive matrices.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93B60
zbMATH DE Number: 1419872
zbMATH Keywords: irreducible eventually non-negative matrix
zbMATH Keywords: eventually real matrix
zbMATH Keywords: \(M\)-cyclic matrix
zbMATH Keywords: cyclic index
zbMATH Keywords: self-conjugate Frobenius collection of elementary Jordan blocks
zbMATH Keywords: Jordan form
author: Boris G. Zaslavsky
author: Bit-Shun Tam
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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Wikidata QID: Q126439454
description: scientific article; zbMATH DE number 1419872