Minkowski inequality over complex positive definite matrices
type: Item
instance of: scholarly article
zbMATH Open document ID: 0997.15016
author: Huiping Yuan
publication date: 2002-06-18T00:00:00Z
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1721702
zbMATH Keywords: determinants
zbMATH Keywords: inequalities
zbMATH Keywords: Hermitian matrices
zbMATH Keywords: complex positive definite matrices
zbMATH Keywords: Minkowski inequality
zbMATH Keywords: Ostrowski-Taussky inequality
MaRDI profile type: Publication
title: Minkowski inequality over complex positive definite matrices
published in: Journal of Mathematical Research \& Exposition
review text: The author derives determinantal inequalities of the type NEWLINE\[NEWLINE |\det(A+B)|^{1/r} >|\det(A)|^{1/r}+|\det(B)|^{1/r} NEWLINE\]NEWLINE for complex positive definite matrices \(A, B\) and positive real numbers \(r,\) thus generalizing the Minkowski inequality. Moreover, these results are used to obtain further improvements of a number of other inequalities, e. g., the Ostrowski-Taussky inequality.
description: scientific article; zbMATH DE number 1721702