Matrix trace inequalities on the Tsallis entropies

Details Matrix trace inequalities on the Tsallis entropies Matrix trace inequalities on the Tsallis entropies

2010-01-09

arxiv.org/abs/1001.1388v1

Journal of inequalities in pure and applied mathematics, Vol.9(2008), Issue 1, Article 1, 7pp

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 addtition, some matrix trace
inequalities related to the Tsallis relative entropy are studied.

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