E0互补问题的变形凝聚同伦算法

摘要

利用变形凝聚函数构造同伦方程,给出了同伦路径的存在性、有界性及收敛性的构造性证明,并利用数值算例验证了变形凝聚同伦算法求解互补问题可行、有效.%At first, the definition and the properties of an aggregate deformation function were given. Then the homotopy equation was constructed by using aggregate deformation function, with the constructive proof of the existence, boundedness and convergence of the homotopy path given. At last, numerical examples were given to show the effectiveness and the feasibility of this method.