含参变量与P-矩阵线性互补问题及其熵函数光滑逼近问题的几点性质

Some Properties of Linear Complementarity Problem with a Parametric P-Matrix and its Smooth Approximation Problem with the Entropy Function

讨论了含参变量及P-矩阵的线性互补问题,将该问题等价转化为非光滑方程组,利用熵函数,给出并证明了光滑逼近问题解的若干性质.

A parametric P-matrix linear complementarity problem was considered and transformed into an equivalent nonsmooth equation problem. By using the entropy function, some properties of the solution to the smooth approximation problem with the entropy function was proved.