Characterization of weakly monotone stochastic matrices
type: Item
instance of: scholarly article
title: Characterization of weakly monotone stochastic matrices
zbMATH Open document ID: 0748.15022
DOI: 10.1016/0024-3795(92)90288-L
author: Robert E. Atalla
published in: Linear Algebra and its Applications
publication date: 1992-09-27T00:00:00Z
review text: A nonnegative \(n\times n\) matrix \(T\) is called weakly monotone if \(Tx\) nonnegative implies the existence of a nonnegative \(x_ 0\) such that \(Tx=Tx_ 0\). A proof of a characterization of weakly monotone stochastic matrices \(T\) is given in terms of zero locations in the rows of \(T\).
reviewed by: Richard Sinkhorn
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 57563
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: characterization
zbMATH Keywords: weakly monotone stochastic matrices
MaRDI profile type: Publication
cites work: Saturated sets of probability measures and stochastic matrices
cites work: Generalized Markov Projections and Matrix Summability
cites work: Q3943082
cites work: Q3281340
full work available at URL: 0024-3795(92)90288-l
OpenAlex ID: W2085193658
description: scientific article; zbMATH DE number 57563