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

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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…

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 …