A Note on Equivalent Conditions for Majorization
arXiv:2405.07787 · doi:10.3934/math.2024419
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.
Published in: AIMS Mathematics - Special Issue on Mathematical Foundations of Information Theory