The least squares mean of positive Hilbert-Schmidt operators

DOI10.1016/j.jmaa.2013.02.013zbMath1301.47021OpenAlexW2072199074MaRDI QIDQ2442972

Yongdo Lim, Jimmie D. Lawson

Publication date: 2 April 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.013

zbMATH Keywords

Riemannian manifoldnonpositive curvatureleast squares meanKarcher equationpositive Hilbert-Schmidt operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Equations involving linear operators, with operator unknowns (47A62) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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Cites Work

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• Manifolds of semi-negative curvature
• Riemannian center of mass and mollifier smoothing
• A Panoramic View of Riemannian Geometry
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
• The Riemannian Mean of Positive Matrices

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