论文标题
广义操作员熵的续分表示
Continued fraction representations of the generalized operator entropy
论文作者
论文摘要
通过矩阵的理性指数的出现，通用操作员熵的直接计算证明了难以证明。这项工作的主要动机是克服这些困难，并使用矩阵的表示，为此计算提供了一种实用，有效的方法，持续分数。在论文的最后，我们推断出Bregman操作员分歧的持续扩展。讨论了一些误解理论结果的数值示例。
The direct calculation of the Generalized operator entropy proves difficult by the appearance of rational exponents of matrices. The main motivation of this work is to overcome these difficulties and to present a practical and efficient method for this calculation using its representation by the matrix continued fraction. At the end of our paper, we deduce a continued fraction expansion of the Bregman operator divergence. Some numerical examples illutrating the theoretical result are discussed.
