activity
20122022
most citedTwo Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.OC2022

Revisiting second-order optimality conditions for equality-contrained minimization problem

Luca Amodei

The aim of this note is to give a geometric insight into the classical second order optimality conditions for equality-constrained minimization problem. We show that the Hessian's…

cs.GT2017

How to cut a cake with a gram matrix

Guillaume Chèze, Luca Amodei

In this article we study the problem of fair division. In particular we study a notion introduced by J. Barbanel that generalizes super envy-free fair division. We give a new proof…

math.OC2012★ 2 cited

Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries

P. -A. Absil, Luca Amodei, Gilles Meyer

We consider two Riemannian geometries for the manifold of all matrices of rank . The geometries are induced on …