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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2005
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38725/1/38725.pdf |
| _version_ | 1825949277792239616 |
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| author | Al Zhour, Zeyad Abdel Al Ziz Kilicman, Adem |
| author_facet | Al Zhour, Zeyad Abdel Al Ziz Kilicman, Adem |
| author_sort | Al Zhour, Zeyad Abdel Al Ziz |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:42:06Z |
| format | Conference or Workshop Item |
| id | upm.eprints-38725 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:42:06Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | 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. . |
| spellingShingle | Al Zhour, Zeyad Abdel Al Ziz Kilicman, Adem A family of geometric means of positive matrices and some new connections |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/38725/1/38725.pdf |
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