most citedMinimal curves in U(n) and Gl(n)+ with respect to the spectral and the trace norms

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2019★ 1 cited

Minimal curves in U(n) and Gl(n)+ with respect to the spectral and the trace norms

Jorge Antezana, Eduardo Ghiglioni, Demetrio Stojanoff

Consider the Lie group of n x n complex unitary matrices U(n) endowed with the bi-invariant Finsler metric given by the spectral norm, ||X||_U = ||U*X||_{sp} = ||X||_{sp} for any X…

math.FA2019

New deterministic approaches to the least square mean

Eduardo Ghiglioni

In this paper we presents new deterministic approximations to the least square mean, also called geometric mean or barycenter of a finite collection of positive definite matrices.…

math.MG2018

Ergodic theorem in Hadamard spaces in terms of inductive means

Jorge Antezana, Eduardo Ghiglioni, Demetrio Stojanoff

Let (G,+) be a compact, abelian, and metrizable topological group. In this group we take such that the corresponding automorphism t_g is ergodic. The main result of this p…