中文摘要：

通过构造隐线性互补问题的同伦方程,给出同伦路径存在的一个新条件,并证明同伦路径的有界性和收敛性,获得了隐线性互补问题解存在的条件.

英文摘要：

By constructing a homotopy equation of the implicit linear complementarity problem,we gave a new condition for the existence of homotopy path,proved the boundedness and convergence of the homotopy path and obtained the condition for the existence of a solution of the implicit linear complementarity problem.