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LCQPow: a solver for linear complementarity quadratic programs

delete2024-12-16
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PRE
AI
J
Jonas Hall *
A
Armin Nurkanović
F
Florian Messerer
M
Moritz Diehl
DOI:10.1007/s12532-024-00272-wdelete
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摘要

摘要

En 中文
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.
Keyword:
Optimization
Complementarity constraints
Sequential convex programming
Hybrid systems

期刊

Mathematical Programming Computation 封面图
Mathematical Programming Computation
IF:
3.6
论文数:
198
被引数:
1.9K

机构

B
boston university
学者数:
3.8W
论文数: 3.2W
被引数: 67
U
University of Freiburg
学者数:
3.3W
论文数: 2.4W
被引数: 3.4W
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