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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,  
 
  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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