中国海洋大学学报(自然科学版)2011,Vol.41Issue(1):185-188,4.
同伦内点方法求解无界域上的非线性规划问题
Solving Nonlinear Programming Problems on Unbounded Sets Via A Homotopy Interior Point Method
摘要
Abstract
Feng guochen et. al proposed a homotopy interior point method to solve a class of nonlinear programming problems by requiring the boundedness of the feasible set. It was also conjectured that the result may be generalized to unbounded sets. In this paper, an unbounded condition is presented, under which we are able to resolve the conjecture partially. Two numerical examples are given to illustrate the effectiveness of the results.关键词
同伦内点方法/非线性规划问题/无界集Key words
homotopy interior point method/ nonlinear programming problems/ unbounded sets分类
数理科学引用本文复制引用
苏孟龙,王建..同伦内点方法求解无界域上的非线性规划问题[J].中国海洋大学学报(自然科学版),2011,41(1):185-188,4.基金项目
国家自然科学基金项目(10371050).河南省基础与前沿技术研究项目(092300410187),河南省高校青年骨干教师资助计划项目,河南省教育厅自然科学研究计划项目(2009B110015)资助 (10371050)