Notes on matrix arithmetic-geometric mean inequalities
type: Item
instance of: scholarly article
title: Notes on matrix arithmetic-geometric mean inequalities
zbMATH Open document ID: 0974.15016
DOI: 10.1016/S0024-3795(00)00048-3
author: Rajendra Bhatia
author: Fuad Kittaneh
published in: Linear Algebra and its Applications
publication date: 2000-11-07T00:00:00Z
review text: The authors prove that a unitarily invariant norm of 4AB does not exceed that of \((A+B)^2\), for positive semi-definite matrices \(A\), \(B\). Connections with some other matrix arithmetic-geometric mean inequalities and trace inequalities are discussed.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 1446352
zbMATH Keywords: unitarily invariant norm
zbMATH Keywords: positive semi-definite matrices
zbMATH Keywords: matrix arithmetic-geometric mean inequalities
zbMATH Keywords: trace inequalities
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
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cites work: Q4110023
cites work: Inequalities for Unitarily Invariant Norms
description: scientific article; zbMATH DE number 1446352