On \(p\)th roots of stochastic matrices
type: Item
instance of: scholarly article
title: On \(p\)th roots of stochastic matrices
zbMATH Open document ID: 1223.15042
author: Nicholas J. Higham
author: Lijing Lin
published in: Linear Algebra and its Applications
publication date: 2011-06-08T00:00:00Z
review text: By exploiting the theory of functions of matrices, the authors obtain some results on the existence and characterization of \(p\)th roots of a matrix, in particular, of a row stochastic matrix. They also present a classification of the \(p\)th roots and relevant results.
reviewed by: Huang Wenxue
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A16
zbMATH DE Number: 5905212
zbMATH Keywords: embeddability
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: Markov chain
zbMATH Keywords: matrix function
zbMATH Keywords: matrix \(p\)th root
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: stochastic matrices
zbMATH Keywords: transition matrices
zbMATH Keywords: \(M\)-matrix
describes a project that uses: mftoolbox
MaRDI profile type: Publication
full work available at URL: j.laa.2010.04.007
OpenAlex ID: W2118918399
Wikidata QID: Q56998709
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DOI: 10.1016/J.LAA.2010.04.007
description: scientific article; zbMATH DE number 5905212