一个新的NCP函数的构造及其应用

The Construction and Application of a New NCP-function

将非线性互补问题转化为光滑方程组是求解非线性互补问题的一个重要途径,而其转化的桥梁是NCP函数。针对非线性互补问题,构造了一个新的NCP函数,根据光滑逼近原理构造了其光滑逼近函数,并将其应用于求解非线性互补问题。数值算例表明,构造的NCP函数是有效的。

It was an important approach to convert the nonlinear complementarity problem （NCP）into a smooth e- quation by introducing a new smooth NCP function, and the bridge for transformation is NCP function. A new NCP- function is constructed for the nonlinear complementarity problem, and the smooth approximation principle is ap- plied to construct a new smooth approximation function, and then the smooth approximation function was used to solve nonlinear complementarity problems. The numerical tests show that the new NCP-function is effective.