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Mathematics in Applied Sciences and Engineering
Article . 2024 . Peer-reviewed
License: CC BY
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Article . 2024
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https://dx.doi.org/10.60692/rv...
Other literature type . 2024
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Other literature type . 2024
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Relative operator entropy properties related to some weighted metrics

خصائص إنتروبيا المشغل النسبية المتعلقة ببعض المقاييس المرجحة
Authors: Mohamed Chergui; Abdenbi El Hilali;

Relative operator entropy properties related to some weighted metrics

Abstract

In recent decades, intensive research has been devoted to the study of various operator entropies. In this work, we investigate the properties of the parameterized relative operator entropy Sp(A | B) acting on positive definite matrices with respect to weighted Hellinger and Alpha Procrustes distances. In particular, we investigate estimation of the distance between the entropy Sp(A | B) and certain standard means.

Related Organizations
Keywords

Hellinger metric, Hellinger distance, matrix means, Operator (biology), Kullback–Leibler divergence, Matrix Inequalities and Geometric Means, Biochemistry, Quantum mechanics, Gene, Positive-definite matrix, procrustes distance, Operator means involving linear operators, shorted linear operators, etc., Entropy in general topology, FOS: Mathematics, Entropy (arrow of time), Relative operator entropy, Hellinger metric, procrustes distance, matrix means., Complex Analysis and Operator Theory, Operator Theory, Eigenvalues and eigenvectors, T57-57.97, Applied mathematics. Quantitative methods, Applied Mathematics, Physics, Statistics, Operator theory, Geometric Function Theory and Complex Analysis, Applied mathematics, Algorithm, Parameterized complexity, Chemistry, Physical Sciences, Repressor, Thermodynamics, Linear operator inequalities, Geometry and Topology, Transcription factor, relative operator entropy, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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