Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix
type: Item
instance of: scholarly article
title: Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix
zbMATH Open document ID: 1155.15023
author: DeAnne M. Morris
author: J. J. McDonald
published in: Linear Algebra and its Applications
publication date: 2008-10-06T00:00:00Z
review text: The peripheral spectrum of a matrix \(A\) is defined as the multiset of eigenvalues of \(A\) with a modulus equal to the spectral radius of \(A\). It is well known that the peripheral spectrum of a nonnegative matrix \(A\) is a union of complete sets of roots of unity multiplied by the spectral radius of \(A\). In the present paper, the authors give necessary and sufficient conditions for a set of Jordan blocks to correspond to the peripheral spectrum of a nonnegative matrix. This problem is also exhibited from an algorithmic point of view by providing an implementation in MATLAB.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 5349146
zbMATH Keywords: nonnegative matrix
zbMATH Keywords: peripheral spectrum
zbMATH Keywords: Jordan form
zbMATH Keywords: level characteristic
zbMATH Keywords: height characteristic
zbMATH Keywords: eigenvalues
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.laa.2008.05.014
OpenAlex ID: W2031882893
cites work: Q3943082
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cites work: On the Core of a Cone-Preserving Map
DOI: 10.1016/J.LAA.2008.05.014
description: scientific article; zbMATH DE number 5349146