30 citations · 92 across the 38 of their papers we have counts for
5 papers · 1 filter
A penalty-type method for relaxed inverse optimal control problems
Floriane Mefo Kue, Patrick Mehlitz, Thorsten Raasch
This paper is devoted to the introduction and analysis of a penalty-type method for the numerical treatment of a class of bilevel optimization problems arising from inverse optimal…
Elastically safeguarded augmented Lagrangian methods
Ernesto G. Birgin, Alberto De Marchi, Patrick Mehlitz
We investigate, theoretically and numerically, a class of elastically safeguarded augmented Lagrangian methods for nonlinear optimization problems with inequality and equality cons…
On directional local minimality and directional optimality conditions in nonsmooth optimization
Timm Baake, Patrick Mehlitz
This paper considers the unconstrained minimization of a lower semicontinuous function. Exploiting first and second subderivatives, directional limiting subdifferentials, and direc…
Uniqueness and stability of Lagrange multipliers and associated qualification conditions
Patrick Mehlitz, Gerd Wachsmuth
This paper is concerned with uniqueness and stability of Lagrange multipliers for constrained optimization problems in abstract spaces. It is well known that validity of the strict…
Approximate directional stationarity and associated qualification conditions
Isabella Käming, Patrick Mehlitz
Approximate stationarity conditions provide necessary optimality conditions without requiring additional assumptions by demanding that a perturbed stationarity system possesses sol…