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DOE OSTI · 1969125

Sequential Linearization Method for Bound-Constrained Mathematical Programs with Complementarity Constraints

Kirches, Christian·Larson, Jeffrey·Leyffer, Sven·Manns, Paul
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Abstract

Here, we propose an algorithm for solving bound-constrained mathematical programs with complementarity constraints on the variables. Each iteration of the algorithm involves solving a linear program with complementarity constraints in order to obtain an estimate of the active set. The algorithm enforces descent on the objective function to promote global convergence to B-stationary points. We provide a convergence analysis and preliminary numerical results on a range of test problems. We also study the effect of fixing the active constraints in a bound-constrained quadratic program that can be solved on each iteration in order to obtain fast convergence.

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97 MATHEMATICS AND COMPUTINGB-stationaritymathematical programs with complementarity constraintssequential linear programming

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Kirches, Christian, Larson, Jeffrey, Leyffer, Sven, Manns, Paul. 2022-01-05. Sequential Linearization Method for Bound-Constrained Mathematical Programs with Complementarity Constraints. https://doi.org/10.1137/20m1370501

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