保持(r,s)-一致相对熵的映射结构

摘要

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Molnár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 Molnár of the classical Von Neumann relative entropy invariant map-ping structure is generalized ,and the results are extended to more generalized (r ,s)-consistent relative entropy .