Smoothing Methods for Nonlinear Complementarity Problems

Details Smoothing Methods for Nonlinear Complementarity Problems Smoothing Methods for Nonlinear Complementarity Problems

2010-06-10

arxiv.org/abs/1006.2030v1

Mathematics

Optimization and Control

16 pages, 1 figures

Scientific paper

In this paper, we present a new smoothing approach to solve general nonlinear
complementarity problems. Under the $P_0$ condition on the original problems,
we prove some existence and convergence results . We also present an error
estimate under a new and general monotonicity condition. The numerical tests
confirm the efficiency of our proposed methods.

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