用Hellinger距离的一些矩阵形式研究相对算子熵

2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet) Pub Date : 2021-12-03 DOI:10.1109/CommNet52204.2021.9641881

Abdenbi El Hilali, Mohamed Chergui, B. E. Wahbi, F. Ayoub

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引用次数: 1

摘要

本文讨论了作用于正定矩阵的相对算子熵在海灵格距离的各种矩阵形式下的一些性质。特别地，我们估计相对熵和两个正定矩阵的几何平均值之间的距离。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Study of the Relative Operator Entropy via Some Matrix Versions of the Hellinger Distance

This paper is focusing on determining some properties for relative operator entropies acting on positive definite matrices with respect to various matrix versions of Hellinger distance. In particular, we estimate the distance between the relative entropy and a geometric mean of two positive definite matrices.

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2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet)

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