Closest matrices in the space of generalized doubly stochastic matrices
type: Item
instance of: scholarly article
title: Closest matrices in the space of generalized doubly stochastic matrices
zbMATH Open document ID: 0911.15013
author: Raja Nicolas Khoury
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-05-04T00:00:00Z
review text: The author constructs the closest matrix \(B^*\) in \(\Omega_n\) (the collection of doubly stochastic \(n\times n\) real matrices) to a given real matrix \(A\) in \(M_n\) (the space of all \(n\times n\) real matrices). He also proves that \(B^* =(I_n-J_n) A(J_n-J_n) +J_n\), where \(J_n\) is \(n\times n\) real matrix the entries of which are all equal to \(1/n\) and \(I_n\) is \(n\times n\) real identity matrix in \(M_n\).
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 1218618
zbMATH Keywords: doubly stochastic matrices
zbMATH Keywords: closest matrix
reviewed by: Prem Narain
MaRDI profile type: Publication
full work available at URL: jmaa.1998.5970
OpenAlex ID: W2055639171
cites work: Generalized self adjointness in the complex doubly stochastic matrices†
cites work: Matrices which commute with doubly stochastic matrices
cites work: Q4040931
cites work: Q4039989
DOI: 10.1006/JMAA.1998.5970
description: scientific article; zbMATH DE number 1218618