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  Volume 9, Issue 1, Article 1
Matrix Trace Inequalities on the Tsallis Entropies

    Authors: S. Furuichi,  
    Keywords: Matrix trace inequality, Tsallis entropy, Tsallis relative entropy and maximum entropy principle.  
    Date Received: 28/06/07  
    Date Accepted: 29/01/08  
    Subject Codes:

47A63, 94A17, 15A39.

    Editors: Fuzhen Zhang,  

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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