Hyperbolicity of the Karcher mean

DOI10.1016/j.laa.2022.02.018OpenAlexW4213179738MaRDI QIDQ2120926

Yongdo Lim, Eduardo Ghiglioni

Publication date: 1 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.02.018

zbMATH Keywords

positive definite matrixKarcher meanhyperbolic matrixhyperboloid of two sheetsCS-decompositionpositively stable matrix

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

The Ando-Li-Mathias geometric mean and infinite product of hollow matrices ⋮ The Karcher mean of equilateral triangles

Cites Work

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• An effective matrix geometric mean satisfying the Ando–Li–Mathias properties
• Riemannian center of mass and mollifier smoothing
• The Geometric Mean, Matrices, Metrics, and More
• Following the Trail of the Operator Geometric Mean
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

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