A Note on Equivalent Conditions for Majorization
Information Theory
2024-05-14 v1 math.IT
Abstract
In this paper, we introduce novel characterizations of the classical concept of majorization in terms of upper triangular (resp., lower triangular) row-stochastic matrices, and in terms of sequences of linear transforms on vectors. We used our new characterizations of majorization to derive an improved entropy inequality.
Cite
@article{arxiv.2405.07787,
title = {A Note on Equivalent Conditions for Majorization},
author = {Roberto Bruno and Ugo Vaccaro},
journal= {arXiv preprint arXiv:2405.07787},
year = {2024}
}
Comments
Published in: AIMS Mathematics - Special Issue on Mathematical Foundations of Information Theory