Doubly stochastic matrices with prescribed positive spectrum
type: Item
instance of: scholarly article
title: Doubly stochastic matrices with prescribed positive spectrum
zbMATH Open document ID: 0551.15010
DOI: 10.1016/0024-3795(84)90018-1
author: L. F. Martignon
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: If \(\Lambda\) is a set of real numbers \(\{\lambda_ 1,\lambda_ 2,...,\lambda_ n\}\) such that \(1=\lambda_ 1\geq \lambda_ 2\geq...\geq \lambda_ n>0\), there exists a symmetric doubly stochastic matrix A whose spectrum is \(\Lambda\).
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 3877362
zbMATH Keywords: prescribed positive spectrum
zbMATH Keywords: symmetric doubly stochastic matrix
reviewed by: Richard Sinkhorn
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90018-1
OpenAlex ID: W1996557711
cites work: Q5798359
cites work: Results and problems in the theory of doubly-stochastic matrices
cites work: Q4049667
description: scientific article; zbMATH DE number 3877362