2021•Unpublished venueRequires access

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

Abdenbi El Hilali, Mohamed Chergui, Bouazza El Wahbi, Fouad Ayoub

Abstract

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.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Hellinger distance, Kullback–Leibler divergence, Mathematics, Entropy (arrow of time), Positive-definite matrix, Distance matrix, Matrix (chemical analysis), Operator (biology)