吉林大学学报(理学版)2009,Vol.47Issue(6):1179-1181,3.
拟法锥的一种构造方法及其在非凸优化中的应用
A Construction Method of Quasi-normal Cone and Its Application in Nonconvex Optimizition
摘要
Abstract
A simple method to construct the quasi-normal cone is given in connection with the non-convex feasible domain in which the constraint functions are quadratic functions. It has been proven that selected mapping is positive linear independence with regard to constraint gradient, and selected quasi-normal cone satisfies the quasi-normal cone condition. Therefore, we can solve such non-convex optimization problems with the help of combined homotopy equation.关键词
非凸优化/同伦内点法/拟法锥条件/整体算法Key words
nonconvex optimization/ combined homotopy interior point method (CHIP)/ the quasi-normal cone condition/ globally method分类
数理科学引用本文复制引用
高云峰,刘庆怀..拟法锥的一种构造方法及其在非凸优化中的应用[J].吉林大学学报(理学版),2009,47(6):1179-1181,3.基金项目
国家自然科学基金(批准号: 10771020). (批准号: 10771020)