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

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 o...

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Main Authors: Al Zhour, Zeyad Abdel Al Ziz, Kilicman, Adem
Format: Conference or Workshop Item
Language:English
Published: 2005
Online Access:http://psasir.upm.edu.my/id/eprint/38725/1/38725.pdf
http://psasir.upm.edu.my/id/eprint/38725/
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spelling my.upm.eprints.387252015-06-04T04:37:39Z http://psasir.upm.edu.my/id/eprint/38725/ A family of geometric means of positive matrices and some new connections Al Zhour, Zeyad Abdel Al Ziz Kilicman, Adem 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. 2005 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38725/1/38725.pdf 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. .
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Conference or Workshop Item
author Al Zhour, Zeyad Abdel Al Ziz
Kilicman, Adem
spellingShingle Al Zhour, Zeyad Abdel Al Ziz
Kilicman, Adem
A family of geometric means of positive matrices and some new connections
author_facet Al Zhour, Zeyad Abdel Al Ziz
Kilicman, Adem
author_sort Al Zhour, Zeyad Abdel Al Ziz
title A family of geometric means of positive matrices and some new connections
title_short A family of geometric means of positive matrices and some new connections
title_full A family of geometric means of positive matrices and some new connections
title_fullStr A family of geometric means of positive matrices and some new connections
title_full_unstemmed A family of geometric means of positive matrices and some new connections
title_sort family of geometric means of positive matrices and some new connections
publishDate 2005
url http://psasir.upm.edu.my/id/eprint/38725/1/38725.pdf
http://psasir.upm.edu.my/id/eprint/38725/
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score 13.244745

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