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math.DG2020
Optimal inequalities between distances in convex projective domains
Roland Hildebrand
On any proper convex domain in real projective space there exists a natural Riemannian metric, the Blaschke metric. On the other hand, distances between points can be measured in t…
math.OC2020
Optimal step length for the Newton method near the minimum of a self-concordant function
Roland Hildebrand
In path-following methods for conic programming knowledge of the performance of the (damped) Newton method at finite distances from the minimizer of a self-concordant function is c…