29 research outputs found
Generalized log-sum inequalities
In information theory, the so-called log-sum inequality is fundamental and a
kind of generalization of the non-nagativity for the relative entropy. In this
paper, we show the generalized log-sum inequality for two functions defined for
scalars. We also give a new result for commutative matrices. In addition, we
demonstrate further results for general non-commutative positive semi-definite
matrices.Comment: 13 page