A Note on Equivalent Conditions for Majorization
<|reference_start|>A Note on Equivalent Conditions for Majorization: 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.<|reference_end|>
@article{bruno2024a,
    title={A Note on Equivalent Conditions for Majorization},
    author={Roberto Bruno, Ugo Vaccaro},
    journal={AIMS Mathematics 2024, 9(4), 8641-8660},
    year={2024},
    doi={10.3934/math.2024419},
    archivePrefix={arXiv},
    eprint={2405.07787},
    primaryClass={cs.IT math.IT}
}