# Distinct solutions of finite-dimensional complementarity problems

@article{Croci2015DistinctSO, title={Distinct solutions of finite-dimensional complementarity problems}, author={Matteo Croci and Patrick E. Farrell}, journal={arXiv: Optimization and Control}, year={2015} }

Complementarity problems often permit distinct solutions, a fact of major significance in optimization, game theory and other fields. In this paper, we develop a numerical technique for computing multiple isolated solutions of complementarity problems, starting from the same initial guess. This technique, called deflation, is applied in conjunction with existing algorithms that reformulate the complementarity problem as the rootfinding problem of a semismooth residual. After one solution is… CONTINUE READING

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## Global Optimization Techniques for Mixed Complementarity Problems

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