The matrix Heinz mean and related divergence

DOI10.15672/hujms.902879zbMath1497.47032OpenAlexW3215152022MaRDI QIDQ5075950

Ngoc Yen Phan, Lê Công-Trình, Dinh Trung Hoa, Anh Vu Le

Publication date: 12 May 2022

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.902879

zbMATH Keywords

least squares problemsHeinz meanquantum divergencedata processing inequalitymatrix power meanin-betweenness property

Mathematics Subject Classification ID

Operator means involving linear operators, shorted linear operators, etc. (47A64) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

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• Generalized Hellinger metric and Audenaert's in-betweenness
• On the monotonicity of weighted power means for matrices
• Weighted Hellinger distance and in-betweenness property
• In-sphere property and reverse inequalities for matrix means
• Monotonicity of a relative Rényi entropy
• Introduction to matrix analysis and applications

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