New Holder - Type Inequalities for the Tracy-Singh and Khatri-Rao Products of Positive Matrices

Dublin Core

Title

New Holder - Type Inequalities for the Tracy-Singh and Khatri-Rao Products of Positive Matrices

Description

Recently, the authors establised a number of inequalities involving Khatri-Rao product of two positives matrices. Here, in this paper, the result are establised in three ways. First, we find new Holder-type inequalities for Tracy-Singh and Khatri-Rao products products of positive semi-devinite matrices. Second, the result are extended to provide estimates of sums of the Khatri-Rao and Tracy-Singh products of any finite number of positive semi-definite matrices. Three, the result lead to inequalities involving the Hadamard and Kronecker, as a special case.

Creator

Al Zhour, Zeyad Abdel Al Ziz

Source

Journal of ICMSA; Vol 1, No 1 (2005): ICMSA 2005

Publisher

Journal of ICMSA

Date

2015-09-17

Contributor

Rights

Copyright (c) 2015 Journal of ICMSA

Relation

http://jurnal.unsyiah.ac.id/ICMSA/article/view/2670/2512

Format

application/pdf

Language

eng

Type

info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article

Identifier

http://jurnal.unsyiah.ac.id/ICMSA/article/view/2670