保持(r,s)-一致相对熵的映射结构

The map structure of keeping the (r,s)-unified relative entropy

利用(r,s)-一致相对熵的概念,在附加广义逆的条件下,将有关Von Neumann相对熵的非负性、联合凸性等基本性质推广到(r,s)-一致相对熵的情形.同时推广了Molnr给出的保持经典Von Neumann相对熵不变的映射结构的结论,将其映射结构扩展到更为广义的(r,s)-一致相对熵的情形.

By using the definition of the(r,s)-unified relative entropy,based on the generalized inverse of additional conditions,some properties of Von Neumann relative entropy such as non negativity,joint convexity are popularized on the(r,s)-unified relative entropy.At the same time,the conclusion of Molnr of the classical Von Neumann relative entropy invariant mapping structure is generalized,and the results are extended to more generalized(r,s)-consistent relative entropy.