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Volume 9, Issue 1, Article 1 |
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Matrix Trace Inequalities on the Tsallis Entropies
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Authors: |
S. Furuichi, |
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Keywords:
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Matrix trace inequality, Tsallis entropy, Tsallis relative entropy and maximum entropy principle. |
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Date Received:
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28/06/07 |
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Date Accepted:
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29/01/08 |
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Subject Codes: |
47A63, 94A17, 15A39.
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Editors: |
Fuzhen Zhang, |
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Abstract: |
Maximum entropy principles in nonextensive statistical physics are revisited as an application of the Tsallis relative entropy defined for non-negative matrices in the framework of matrix analysis. In addition, some matrix trace inequalities related to the Tsallis relative entropy are studied.
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