A family of geometric means of positive matrices and some new connections

Citation

Al Zhour, Zeyad Abdel Al Ziz and Kilicman, Adem (2005) A family of geometric means of positive matrices and some new connections. In: International Advanced Technology Congress: Conference on Advances in Theoretical Sciences, 6-8 Dec. 2005, Putrajaya, Malaysia. .

Abstract

In this paper, a family of geometric means for positive matrices is studied; provided some counter examples are given. It stills an open problem to find a completely satisfactory definition. We generalize the geometric means of two positive matrices to arrive the definitions of the weighted means of k positive matrices. Some new connections between the Tracy-Singh product and geometric means of positive matrices are established. The results lead to the case of Kronecker product of positive matrices.

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Additional Metadata

Item Type:	Conference or Workshop Item (Oral/Paper)
Divisions:	Institute for Mathematical Research Institute of Advanced Technology
Keywords:	Tracy-Singh product;Kronecker product; Positive definite matrix; Geometric means; Weighted geometric means
Depositing User:	Erni Suraya Abdul Aziz
Date Deposited:	04 Jun 2015 04:37
Last Modified:	04 Jun 2015 04:37
URI:	http://psasir.upm.edu.my/id/eprint/38725
Statistic Details:	View Download Statistic

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