# American Institute of Mathematical Sciences

July  2007, 3(3): 569-584. doi: 10.3934/jimo.2007.3.569

## Convergence properties of a non-interior-point smoothing algorithm for the P*NCP

 1 Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China 2 Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, P.R., China

Received  September 2006 Revised  April 2007 Published  July 2007

In this paper, a non-interior-point smoothing algorithm is applied to solve the $P_*$ nonlinear complementarity problem (NCP). The algorithm is proved to be globally convergent under an assumption that the $P_*$ NCP has a nonempty solution set. In particular, the solution obtained by the algorithm is shown to be a maximally complementary solution of the $P_*$ NCP. The results we obtained strictly generalize the relative results appeared in the literature.
Citation: Zheng-Hai Huang, Shang-Wen Xu. Convergence properties of a non-interior-point smoothing algorithm for the P*NCP. Journal of Industrial & Management Optimization, 2007, 3 (3) : 569-584. doi: 10.3934/jimo.2007.3.569
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