Analyticity of the Karcher mean coefficient maps

The main concern of this paper is the three-variable Karcher (alternatively, Riemannian or Cartan) matrix mean for 2×2 linearly independent triples of positive definite matrices. We show that such triples form an analytic manifold and obtain three analytic functions from (1,∞)2×(0,π/2) to (0,1) real...

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Veröffentlicht in:	Linear algebra and its applications 2021-10, Vol.627, p.162-184
Hauptverfasser:	Lawson, Jimmie, Lim, Yongdo
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic functions Karcher mean Linear algebra Mathematical analysis Matrices (mathematics) Moore-Penrose inverse Positive definite matrix Real analytic
Online-Zugang:	Volltext
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