首先利用光滑Fischer-Burmeister函数,将非线性P0互补问题转化成相应的约束优化问题;然后对此约束优化问题构造出一种新的无参数的填充函数,讨论了该填充函数的有关性质,并提出了求解非线性P0互补问题的填充函数算法。通过几个数值算例验证了该算法的有效性。
Firstly,the nonlinear P0 complementarity problem is converted into a corresponding constrained optimization problem by using the smoothing Fischer-Burmeister function.Subsequently,a novel parameter-free filled function is constructed for the constrained optimization problem,and the function's properties are also discussed.A filled function algorithm is proposed to solve the nonlinear P_0 complementarity problem,and its validity is verified by several numerical examples.