Notes and counterexamples on positive (semi) definite properties of some matrix products

In the present paper, we give some notes and counterexamples to show that the positive (semi) definite property of the Khatri-Rao and Tracy-Singh products of partitioned matrices are in general incorrect and show also that the matrix triangle inequality for the usual and Kronecker sums need not hold...

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Bibliographic Details
Main Author: Zeyad Al-Zhour
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S209044791730148X