广义非线性互补问题的高斯牛顿算法的收敛性

The Convergence of Gauss-Newton Methods for Nonlinear Complementarity Problem

首先将定义在闭凸多面锥上的广义互补问题转化为一个等价的非线性方程组,然后利用阻尼高斯牛顿算法来求解该非线性方程组．并在适当条件下证明了算法的全局收敛性．

First we reformulate GNCP defined on a polyhedral cone as a system of nonlinear equations,based on which the damped Gauss-Newton Method algorithm is employed for obtaining its solmion,and the global convergence analysis are given in this thesis.