2 papers
math.OC2021
A Fresh Geometrical Look at the General S-Procedure
Michel de Lara, Jean-Baptiste Hiriart-Urruty
We revisit the S-procedure for general functions with "geometrical glasses". We thus delineate a necessary condition, and almost a sufficient condition, to have the S-procedure val…
math.MG2020
Polytopal balls arising in optimization
Antoine Deza, Jean-Baptiste Hiriart-Urruty, Lionel Pournin
We study a family of polytopes and their duals, that appear in various optimization problems as the unit balls for certain norms. These two families interpolate between the hypercu…