Several inequalities involving Khatri-Rao products of positive semidefinite matrices
type: Item
instance of: scholarly article
title: Several inequalities involving Khatri-Rao products of positive semidefinite matrices
zbMATH Open document ID: 1016.15016
DOI: 10.1016/S0024-3795(02)00338-5
author: Shuangzhe Liu
published in: Linear Algebra and its Applications
publication date: 2003-02-05T00:00:00Z
review text: The author introduces the definitions and some basic properties of the Hadamard, Kronecker, Khatri-Rao and Tracy-Singh products for matrices. He establishes several inequalities involving Khatri-Rao products of positive semidefinite matrices. The obtained results lead to inequalities involving Hadamard products as a special case.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 1864721
zbMATH Keywords: Khatri-Rao product
zbMATH Keywords: Tracy-Singh product
zbMATH Keywords: Hadamard product
zbMATH Keywords: Kronecker product
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: matrix inequality
zbMATH Keywords: positive semidefinite matrices
reviewed by: Fozi Dannan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1864721