P混合线性互补问题的同伦方法

摘要

A homotopy equation was constructed for the P-mixed linear complementarity problem,the existence,boundedness and convergence of the homotopy path were proved, the solvability of P-mixed linear complementarity problem was obtained.Thus an interior-point method of P-mixed linear complementarity problem has been established.%对P混合线性互补问题建立一个同伦方程，证明了同伦路径的存在性、有界性和收敛性，得到了P混合线性互补问题的可解性，从而建立了P混合线性互补问题的内点算法。