30 citations · 92 across the 38 of their papers we have counts for
6 papers · 1 filter
Inverse demand tracking in transportation networks
Simone Göttlich, Patrick Mehlitz, Thomas Schillinger
This paper deals with the reconstruction of the desired demand in an optimal control problem, stated over a tree-shaped transportation network which is governed by a linear hyperbo…
A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization
Patrick Mehlitz
In this note, we present an elementary proof for a well-known second-order sufficient optimality condition in nonlinear semidefinite optimization which does not rely on the enhance…
Why second-order sufficient conditions are, in a way, easy -- or -- revisiting calculus for second subderivatives
Matúš Benko, Patrick Mehlitz
In this paper, we readdress the classical topic of second-order sufficient optimality conditions for optimization problems with nonsmooth structure. Based on the so-called second s…
On the directional asymptotic approach in optimization theory Part B: constraint qualifications
Matúš Benko, Patrick Mehlitz
During the last years, asymptotic (or sequential) constraint qualifications, which postulate upper semicontinuity of certain set-valued mappings and provide a natural companion of…
On the directional asymptotic approach in optimization theory Part A: approximate, M-, and mixed-order stationarity
Matúš Benko, Patrick Mehlitz
We show that, for a fixed order , each local minimizer of a rather general nonsmooth optimization problem in Euclidean spaces is either M-stationary in the classical sense…
Constrained composite optimization and augmented Lagrangian methods
Alberto De Marchi, Xiaoxi Jia, Christian Kanzow +1
We investigate finite-dimensional constrained structured optimization problems, featuring composite objective functions and set-membership constraints. Offering an expressive yet s…