The matrix Heinz mean and related divergence
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Publication:5075950
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
least squares problemsHeinz meanquantum divergencedata processing inequalitymatrix power meanin-betweenness property
Operator means involving linear operators, shorted linear operators, etc. (47A64) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Cites Work
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- Some geometric properties of matrix means with respect to different metrics
- Information geometry and its applications
- In-betweenness, a geometrical monotonicity property for operator means
- Correction to: ``Matrix versions of the Hellinger distance
- The \(\alpha\)-\(z\)-Bures Wasserstein divergence
- A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means
- Quantum divergences with \(p\)-power means
- 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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