TY - JOUR
T1 - A New Smoothing Equations Approach to the Nonlinear Complementarity Problems
AU - Ma , Chang-Feng
AU - Nie , Pu-Yan
AU - Liang , Guo-Ping
JO - Journal of Computational Mathematics
VL - 6
SP - 747
EP - 758
PY - 2003
DA - 2003/12
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10232.html
KW - Nonlinear complementarity problem, Smoothing Newton method, Global convergence, Superlinear convergence.
AB - <p style="text-align: justify;">The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by construction a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm.</p>