TY - JOUR A1 - Hall, Jonas A1 - Nurkanović, Armin A1 - Messerer, Florian A1 - Diehl, Moritz T1 - LCQPow: a solver for linear complementarity quadratic programs T2 - Mathematical Programming Computation N2 - In this paper we introduce an open-source software package written in C++ for efficiently finding solutions to quadratic programming problems with linear complementarity constraints. These problems arise in a wide range of applications in engineering and economics, and they are challenging to solve due to their structural violation of standard constraint qualifications, and highly nonconvex, nonsmooth feasible sets. This work extends a previously presented algorithm based on a sequential convex programming approach applied to a standard penalty reformulation. We examine the behavior of local convergence and introduce new algorithmic features. Competitive performance profiles are presented in comparison to state-of-the-art solvers and solution variants in both existing and new benchmarks. Y1 - 2024 UR - https://opus4.kobv.de/opus4-mpc/frontdoor/index/index/docId/282 SN - 1867-2949 VL - 17 IS - 1 SP - 81 EP - 109 PB - Springer Science and Business Media LLC ER -