Majorization-constrained doubly stochastic matrices
type: Item
instance of: scholarly article
title: Majorization-constrained doubly stochastic matrices
zbMATH Open document ID: 1020.15023
DOI: 10.1016/S0024-3795(02)00276-8
author: Richard A. Brualdi
author: Geir Dahl
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: The authors study the structure and properties of the subpolytopes \(\Omega_n(d)\) of the Birkhoff polytope \(\Omega_n\) of doubly stochastic matrices of order \(n\) whose rows and columns (or just one row or just the main diagonal) are majorized by a given stochastic vector \(d\). In addition, the authors study the (not necessarily convex) set \(\Omega_n^*(d)\) of matrices in \(\Omega_n\) whose rows and columns majorize \(d\).
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 1880048
zbMATH Keywords: Birkhoff polytope
zbMATH Keywords: doubly stochastic matrix
zbMATH Keywords: majorization
zbMATH Keywords: stochastic vector
zbMATH Keywords: transportation polytope
reviewed by: Huang Wenxue
MaRDI profile type: Publication
cites work: Q4208001
cites work: The doubly stochastic matrices of a vector majorization
cites work: Combinatorial matrix theory
cites work: Q4371290
cites work: Majorization polytopes
cites work: Inequalities: theory of majorization and its applications
cites work: Q3673577
full work available at URL: s0024-3795(02)00276-8
OpenAlex ID: W2086810859
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description: scientific article; zbMATH DE number 1880048