info:eu-repo/semantics/article
Hyperbolicity of the Karcher mean
Fecha
2022-02Registro en:
Ghiglioni, Eduardo Mario; Lim, Yongdo; Hyperbolicity of the Karcher mean; Elsevier Science Inc.; Linear Algebra and its Applications; 643; 2-2022; 196-217
0024-3795
CONICET Digital
CONICET
Autor
Ghiglioni, Eduardo Mario
Lim, Yongdo
Resumen
The main concern of this paper is the Karcher mean of linearly independent triples (A,B,C) on the hyperbolic manifold of 2×2 positive definite matrices of determinant 1. We show that the Karcher mean is of the form Λ(A,B,C)=xA+y(B+C),0