Note on a matrix-concave function
type: Item
instance of: scholarly article
title: Note on a matrix-concave function
zbMATH Open document ID: 0843.15007
author: Heinz Neudecker
author: Shuangzhe Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-18T00:00:00Z
review text: The authors give a new proof of the inequality \[ \bigl( K' (B + C)^- K \bigr )^+ \geq (K' B^- K)^+ + (K' C^- K)^+ \] where \(B,C\) are positive semidefinite, \(K\) is in the ranges of both \(B,C, ^+\) is the Moore-Penrose inverse and \(^-\) is any generalized inverse.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 861875
zbMATH Keywords: matrix-concave function
zbMATH Keywords: inequality
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: generalized inverse
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1467
OpenAlex ID: W2015324665
DOI: 10.1006/JMAA.1995.1467
description: scientific article; zbMATH DE number 861875