应用数学2012,Vol.25Issue(4):732-737,6.
同伦方法求解无界域上非凸规划问题的收敛性定理
Convergence Theorems of Homotopy Method for Nonconvex Programming in Unbounded Set
摘要
Abstract
Generally,for nonconvex pogramming, we only get a K-K-T point from homo-topy method. In this paper,some convergence theorems of homotopy method for nonconvex programming in unbounded set are obtained. It is proved that, under suitable conditions, we can get a local optimal solution from the homotopy method by constructing proper homotopy equation.关键词
非凸规划/无界区域/同伦方法/局部最优解Key words
Nonconvex programming/ Unbounded set/ Homotopy method/ Local optimal solution分类
数理科学引用本文复制引用
孙文娟,王彩玲..同伦方法求解无界域上非凸规划问题的收敛性定理[J].应用数学,2012,25(4):732-737,6.基金项目
国家自然科学基金(10771020) (10771020)