
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.
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
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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