Repetition invariant geometric means

We introduce a class of repetition invariant geometric means and obtain corresponding contractive barycentric maps of integrable Borel probability measures on the Cartan–Hadamard Riemannian manifold of positive definite matrices. They retain most of the properties of the Cartan barycenter and lead t...

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Veröffentlicht in:	Linear algebra and its applications 2018-05, Vol.544, p.443-459
Hauptverfasser:	Kim, Sejong, Lee, Hosoo, Lim, Yongdo
Format:	Artikel
Sprache:	eng
Schlagworte:	Borel probability measure Center of gravity Contractive barycentric map Geometric mean Geometry Inequalities Invariants Linear algebra Mathematical analysis Matrix Matrix methods Positive definite matrix Probability Repetition Repetition invariancy Riemann manifold Yamazaki inequality
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