2 papers
math.OC2026
A Partitioned Optimization Framework for Structure-Aware Problems
Charles Audet, Pierre-Yves Bouchet, Loïc Bourdin
This work tackles a class of optimization problems in which fixing some well-chosen combinations of the variables makes the problem substantially easier to solve. We consider that…
math.OC2024
Convergence towards a local minimum by direct search methods with a covering step
Charles Audet, Pierre-Yves Bouchet. Loïc Bourdin
This paper introduces a new step to the Direct Search Method (DSM) to strengthen its convergence analysis. By design, this so-called covering step may ensure that for all refined p…