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中文摘要：
本文研究了非线性互补的光滑化问题.利用一个新的光滑NCP函数将非线性互补问题转化为等价的光滑方程组,并在此基础上建立了求解P0-函数非线性互补问题的一个完全光滑化牛顿法,获得了算法的全局收敛性和局部二次收敛性的结果.并给出数值实验验证了理论分析的正确性.
英文摘要：
In the article, we study the smoothness of the nonlinear complementarity problem. By means of a new smoothing NCP-function, the nonlinear complementarity problem can be reformulated as the solution of the equivalent smoothness equations, and we propose a new smoothing Newton method for solving nonlinear complementarity problem with P0-function （denoted by P0-NCP）. Under suitable assumptions, we obtain the global and local quadratic convergence results of the proposed algorithm. Numerical experiments indicate that the proposed method is quite effective.
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