利用光滑Chen Harker KanzowSmale函数和Robinson正则法,将非线性互补问题转化为与之等价的光滑非线性方程组,并基于无导数线搜索技术提出了一种新的求解P0非线性互补问题的光滑化拟牛顿法.在一定条件下获得了算法的全局收敛性,数值实验表明该算法是有效的.
In this paper,Based on Chen-Harker-Kanzow-Smale function and the Robinson regularization method we can reformulate the nonlinear complementarity problem as the solution to a smooth system of equations.With the derivative-free line search techniques,a new smoothing quasi-Newton method for P0 nonlinear complementarity problem is presented.In the suitable condition,The global convergence properties of this algorithm are proved.The numerical experiments show that this algorithm is efficient.