Pathfollowing for Parametric Mathematical Programs with Complementarity Constraints

In this paper we study procedures for pathfollowing parametric mathematical pro- grams with complementarity constraints. We present two procedures, one based on the penalty approach to solving standalone MPCCs, and one based on tracing active set bifurcations aris- ing from doubly-active complementarity constraints. We demonstrate the performance of these approaches on a variety of examples with different types of stationary points and also a simple engineering problem with phase changes.

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