Inequalities involving powers of generalized inverses
type: Item
instance of: scholarly article
title: Inequalities involving powers of generalized inverses
zbMATH Open document ID: 0796.15021
DOI: 10.1016/0024-3795(94)90354-9
author: V. Pereyra
published in: Linear Algebra and its Applications
publication date: 1994-10-05T00:00:00Z
review text: By the use of generalized inverses of powers of positive semidefinite matrices, converses of matrix inequalities corresponding to ratios and differences of means are extended to the positive semidefinite case. Similar extensions for converses of matrix forms of Hölder's inequality are also given.
reviewed by: Seshadri Sridhar
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 566103
zbMATH Keywords: generalized inverses
zbMATH Keywords: positive semidefinite matrices
zbMATH Keywords: matrix inequalities
zbMATH Keywords: means
zbMATH Keywords: converses of matrix forms
zbMATH Keywords: Hölder's inequality
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90354-9
OpenAlex ID: W2089842773
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cites work: Differences of means
Wikidata QID: Q127065655
description: scientific article; zbMATH DE number 566103