A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means

DOI10.1016/j.laa.2020.09.007OpenAlexW3008933240MaRDI QIDQ2226457

Dániel Virosztek, József Pitrik

Publication date: 12 February 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11678

zbMATH Keywords

barycenterKubo-Ando meanweighted multivariate mean

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (3)

The matrix Heinz mean and related divergence ⋮ Geodesic in-betweenness for means of several matrices ⋮ Characterisation of the lattice operations on positive operators with respect to the spectral order

Cites Work

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• Transformations on positive definite matrices preserving generalized distance measures
• The matrix geometric mean of parameterized, weighted arithmetic and harmonic means
• Riemannian geometry and matrix geometric means
• Information geometry and its applications
• Means of positive linear operators
• In-betweenness, a geometrical monotonicity property for operator means
• Generalized Hellinger metric and Audenaert's in-betweenness
• Positive definite matrices and the S-divergence
• Introduction to matrix analysis and applications

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