Penalty Interior-Point Method Fails to Converge

Details Penalty Interior-Point Method Fails to Converge Penalty Interior-Point Method Fails to Converge

2003-10-22

arxiv.org/abs/math/0310357v1

Mathematics

Optimization and Control

11 pages

Scientific paper

Equilibrium equations in the form of complementarity conditions often appear as constraints in optimization problems. Problems of this type are commonly referred to as mathematical programs with complementarity constraints (MPCCs). A popular method for solving MPCCs is the penalty interior-point algorithm (PIPA). This paper presents a small example for which PIPA converges to a nonstationary point, providing a counterexample to the established theory. The reasons for this adverse behavior are discussed.

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