Approximations to the Karcher mean on Hadamard spaces via geometric power means
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Publication:494965
DOI10.1515/forum-2013-0088zbMath1325.53055OpenAlexW2318225465MaRDI QIDQ494965
Publication date: 8 September 2015
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/forum-2013-0088
Probability measures on topological spaces (60B05) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
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Contractive barycentric maps and \(L^{1}\) ergodic theorems on the cone of positive definite matrices ⋮ Matrix geometric means based on shuffled inductive sequences ⋮ Manifold-valued subdivision schemes based on geodesic inductive averaging ⋮ A fixed point mean approximation to the Cartan barycenter of positive definite matrices ⋮ Operator means of probability measures ⋮ A global approach to the refinement of manifold data ⋮ Operator means deformed by a fixed point method ⋮ New deterministic approaches to the least square mean ⋮ Weighted inductive means
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