Applications of an inequality in information theory to matrices
type: Item
instance of: scholarly article
title: Applications of an inequality in information theory to matrices
zbMATH Open document ID: 0587.15011
DOI: 10.1016/0024-3795(86)90018-2
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The author proves inequalities such as \(per_ KZ\geq per_ KA\prod_{i,j}(z_{ij}/a_{ij})^ bij\) where \(per_ K\) is the sum of all diagonal products over an arbitrary set of permutations, Z, A are any nonnegative matrices with \(per_ KA\) positive, and B is \(b_{ij}=a_{ij}per A(i,j)/per A\).
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 3941713
zbMATH Keywords: doubly stochastic matrix
zbMATH Keywords: permanent
zbMATH Keywords: diagonal equivalence
author: R. B. Bapat
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90018-2
OpenAlex ID: W2047670810
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description: scientific article; zbMATH DE number 3941713