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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 / Synopsis

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 (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 12:37
Last Modified: 04 Jun 2015 12:37
URI: http://psasir.upm.edu.my/id/eprint/38725
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