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Volume 10, Issue 2, Article 41 |
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On Weighted Partial Orderings on the Set of Rectangular Complex Matrices
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Authors: |
Hanyu Li, Hu Yang, Hua Shao, |
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Keywords:
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Weighted partial ordering, Matrix function, Singular value ecomposition. |
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Date Received:
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21/01/08 |
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Date Accepted:
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19/05/09 |
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Subject Codes: |
15A45, 15A99
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper, the relations between the weighted partial orderings on the set of rectangular complex matrices are first studied. Then, using the matrix function defined by Yang and Li [H. Yang and H.Y. LI, Weighted UDV* -decomposition and weighted spectral decomposition for rectangular matrices and their applications, Appl. Math. Comput. 198 (2008), pp. 150--162], some weighted partial orderings of matrices are compared with the orderings of their functions.
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