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**1 - 3**of**3**### MATRIX TRACE INEQUALITIES ON THE TSALLIS ENTROPIES

, 2008

"... 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 stud ..."

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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. Key words and phrases: Matrix trace inequality, Tsallis entropy, Tsallis relative entropy and maximum entropy principle.