P_0线性互补问题的新同伦方法

New Homotopy Method for the P_0 Linear Complementarity Problem

通过构造P0线性互补问题的新同伦方程,证明了当齐次线性互补问题只有零解时,非齐次线性互补问题同伦路径的存在性、有界性和收敛性,从而获得了P0线性互补问题可解的新条件.

We constructed a new homotopy method for the P0 linear complementarity problem and proved the existence, boundedness and convergence of the homotopy path for the homogeneous complementarity problem are given when the homogeneous complementarity problem has only zero solution so as to obtain a new condition of the solvability of the P0 linear complementarity problem.