@article{Bruno2024, 
author = {Roberto Bruno and Ugo Vaccaro},
title = {A note on equivalent conditions for majorization},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8641-8660},
keywords = {majorization, entropy, row-stochastic matrices, column-stochastic matrices, Schur-concave functions},
url = {https://www.sciopen.com/article/10.3934/math.2024419},
doi = {10.3934/math.2024419},
abstract = {In this paper, we introduced 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 use our new characterizations of majorization to derive an improved entropy inequality.}
}