2 citations · 2 across the 2 of their papers we have counts for
8 papers
The Sparse(st) Optimization Problem: Reformulations, Optimality, Stationarity, and Numerical Results
Christian Kanzow, Alexandra Schwarz, Felix Weiß
We consider the sparse optimization problem with nonlinear constraints and an objective function, which is given by the sum of a general smooth mapping and an additional term defin…
Efficient Regularized Proximal Quasi-Newton Methods for Large-Scale Nonconvex Composite Optimization Problems
Christian Kanzow, Theresa Lechner
Optimization problems with composite functions consist of an objective function which is the sum of a smooth and a (convex) nonsmooth term. This particular structure is exploited b…
New Constraint Qualifications for Optimization Problems in Banach Spaces based on Asymptotic KKT Conditions
Eike Börgens, Christian Kanzow, Patrick Mehlitz +1
Optimization theory in Banach spaces suffers from the lack of available constraint qualifications. Despite the fact that there exist only a very few constraint qualifications, they…
Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods
Christian Kanzow, Daniel Steck
This paper deals with quasi-variational inequality problems (QVIs) in a generic Banach space setting. We provide a theoretical framework for the analysis of such problems which is…
Relaxation schemes for mathematical programs with switching constraints
Christian Kanzow, Patrick Mehlitz, Daniel Steck
Switching-constrained optimization problems form a difficult class of mathematical programs since their feasible set is almost disconnected while standard constraint qualifications…
Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems
Christian Kanzow, Daniel Steck
We propose an augmented Lagrangian-type algorithm for the solution of generalized Nash equilibrium problems (GNEPs). Specifically, we discuss the convergence properties with regard…