非线性互补问题转化为无约束优化问题的方法

Introduction of Reformulating the Nonlinear Complimentarity Problem as A Unconstrainned Minimization Problem

本文介绍一种带参数的NCP-函数,从而将非线性互补问题(NCP(F))先转化为非光滑方程组的形式,再引进相应价值函数等价地转化为无约束最优化问题的方法,并且还讨论了此NCP-函数,非光滑方程组和相应价值函数的性质。

This article introduce a class of one-parametric NCP-functions.This class of NCP-functions is used in order to reformulate the nonlinear coplementarity problem(NCP(F)) as a nonsmooth system of equations.After,,we may rewrite the NCP(F) as the unconstrainned minimization problem with corresponding merit function.Then we present properties of the NCP-functions, of the nonsmooth equation operator and of the corresponding merit function.