Geometric mean block matrices

DOI10.1016/j.laa.2019.04.008zbMath1414.15024OpenAlexW2936677929WikidataQ128082780 ScholiaQ128082780MaRDI QIDQ2419073

Yongdo Lim, Sejong Kim, Ho Soo Lee

Publication date: 29 May 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.008

zbMATH Keywords

geometric meanpositive definite matrixblock matrixAndo-Li-Mathias geometric mean\(\Gamma\)-commuting family

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

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Cites Work

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• Monotonic properties of the least squares mean
• Min matrices and mean matrices
• Matrix power means and the Karcher mean
• Riemannian geometry and matrix geometric means
• Mean matrices and infinite divisibility
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Functional calculus for sesquilinear forms and the purification map
• Geometric means
• \(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices
• An effective matrix geometric mean satisfying the Ando–Li–Mathias properties