Sciweavers

Share
WCE
2007

A mathematical review of the generalized entropies and their matrix trace inequalities

11 years 23 days ago
A mathematical review of the generalized entropies and their matrix trace inequalities
Abstract– We review the properties of the generalized entropies in our previous papers in the following way. (1)A generalized Fannes’ inequality is shown by the axiomatically characterized Tsallis entropy. (2)The maximum entropy principles in nonextensive statistical physics are revisited as an application of the Tsallis relative entropy defined for the nonnegative matrices in the framework of matrix analysis. (3)A variational expression for Tsallis relative entropy is derived and some related inequalities are studied. Matrix trace inequalities, Tsallis relative entropy, Fannes’ inequality, variational expression and maximum entropy principle
Shigeru Furuichi
Added 07 Nov 2010
Updated 07 Nov 2010
Type Conference
Year 2007
Where WCE
Authors Shigeru Furuichi
Comments (0)
books