info:eu-repo/semantics/article
Hyperbolicity of the Karcher mean
Date
2022-02Registration in:
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
Author
Ghiglioni, Eduardo Mario
Lim, Yongdo
Abstract
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