混合线性互补问题解的存在条件

Existence Condition of a Solution of the Mixed Linear Complementarity Problem

利用同伦方法研究混合线性互补问题,通过构造一个新的同伦方程,给出了同伦路径的存在性、有界性和收敛性证明,得到了混合线性互补问题有解的一个充分条件.

The mixed linear complementarity problem was considered by the homotopy method,a new homotopy equation was constructed,and the existence,boundedness and convergence of the homotopy path were proved, with a sufficient condition of the solution of mixed linear complementarity problem obtained.