UPM Institutional Repository

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


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. .


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.

Download File

[img] PDF (Full text)
38725.pdf - Published Version
Restricted to Repository staff only

Download (113kB)

Additional Metadata

Item Type: Conference or Workshop Item (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

Actions (login required)

View Item View Item