Mixed mean inequalities for several positive definite matrices
type: Item
instance of: scholarly article
title: Mixed mean inequalities for several positive definite matrices
zbMATH Open document ID: 1083.15032
author: Xiuping Zhang
author: Zhenghong Yang
author: Yongjian Hu
published in: Linear Algebra and its Applications
publication date: 2005-02-23T00:00:00Z
review text: This paper presents several kinds of mixed means for three or more positive definite matrices, which involve the geometric mean [cf. \textit{T. Ando, C.-K. Li} and \textit{R. Mathias}, Linear Algebra Appl. 385, 305--334 (2004; Zbl 1063.47013)] and one of the arithmetic and harmonic means. Further results deal with mixed mean inequalities, matrix version of a conjecture of \textit{F. Holland} [On a mixed arithmetic-mean, geometric-mean inequality, Math. Competitions 5, 60--64 (1992)], and convergence of mixed mean sequences.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 2137799
zbMATH Keywords: positive definite matrix
zbMATH Keywords: geometric mean
zbMATH Keywords: mixed mean
zbMATH Keywords: mixed mean inequality
zbMATH Keywords: arithmetic mean
MaRDI profile type: Publication
full work available at URL: j.laa.2004.08.010
OpenAlex ID: W2072116238
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DOI: 10.1016/J.LAA.2004.08.010
description: scientific article; zbMATH DE number 2137799