A Note on Equivalent Conditions for Majorization
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929341667999744 |
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| author | Bruno, Roberto Vaccaro, Ugo |
| author_facet | Bruno, Roberto Vaccaro, Ugo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Note on Equivalent Conditions for Majorization Bruno, Roberto Vaccaro, Ugo Information Theory 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. |
| title | A Note on Equivalent Conditions for Majorization |
| topic | Information Theory |
| url | https://arxiv.org/abs/2405.07787 |