A note on equivalent conditions for majorization

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 impro...

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Bibliographic Details
Published in:	AIMS mathematics Vol. 9; no. 4; pp. 8641 - 8660
Main Authors:	Bruno, Roberto, Vaccaro, Ugo
Format:	Journal Article
Language:	English
Published:	AIMS Press 01-01-2024
Subjects:	column-stochastic matrices entropy majorization row-stochastic matrices schur-concave functions
Online Access:	Get full text
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Summary:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2024419