Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices
type: Item
instance of: scholarly article
title: Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices
zbMATH Open document ID: 1014.15014
DOI: 10.1007/BF02936209
author: Xian Zhang
author: Chongguang Cao
author: Zhongpeng Yang
published in: Journal of Applied Mathematics and Computing
publication date: 2002-12-10T00:00:00Z
review text: The authors establish several inequalities for positive semi-definite Hermitian matrices that involve Hadamard and Kronecker products, thus extending previous results by \textit{B. Wang, X. Zhang} and \textit{F. Zhang} [Linear Algebra Appl. 302-303, 163-172 (1999; Zbl 0947.15010)] and \textit{S. Liu} [J. Math. Anal. Appl. 243, No.~2, 458-463 (2000; Zbl 0949.15026)]. Moreover, full characterizations of the equality case in some inequalities from the beforementioned articles are presented.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 1836019
zbMATH Keywords: matrix inequalities
zbMATH Keywords: positive semi-definite Hermitian matrices
zbMATH Keywords: unitary matrices
zbMATH Keywords: Hadamard product
zbMATH Keywords: Kronecker product
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Moore-Penrose inverses
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02936209
OpenAlex ID: W2011539256
description: scientific article; zbMATH DE number 1836019