Some inequalities for the Hadamard product of matrices
type: Item
instance of: scholarly article
title: Some inequalities for the Hadamard product of matrices
zbMATH Open document ID: 0866.15010
DOI: 10.1016/0024-3795(94)00297-5
author: Miroslav Fiedler
author: Thomas L. Markham
published in: Linear Algebra and its Applications
publication date: 1996-12-01T00:00:00Z
review text: The authors find the best possible bounds for certain functions of the eigenvalues of \((A\circ C)C^{-1}\), where \(A\) is a fixed positive definite (or semidefinite) \(n\times n\) matrix and \(C\) runs through all positive definite \(n\times n\) matrices. One result is that the infimum of the \(k\)th elementary symmetric function of the eigenvalues of \(A\) occurs when \(C=I\).
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 951787
zbMATH Keywords: Hadamard product
zbMATH Keywords: positive definite matrix
zbMATH Keywords: best possible bounds
zbMATH Keywords: functions of the eigenvalues
zbMATH Keywords: elementary symmetric function of the eigenvalues
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00297-5
OpenAlex ID: W2032703951
cites work: An observation on the Hadamard product of Hermitian matrices
cites work: Q3497208
description: scientific article; zbMATH DE number 951787