published on October 19, 2023
Sums of squares approximations in polynomial optimization: performance analysis and degree bounds
By Monique Laurent
From Frank RAMSEY à René THOM: beyond Opmitisation
By Ivar Ekeland
Appears in collection : 1923-2023, Centenaire de René Thom
I will introduce a class of optimization problems in the calculus of variations arising from economic theory, and I will show why the optimal solution makes no sense. A new concept of solution must be introduced, leading to an implicit ODE in the sens of Thom.
