| 同伦内点方法求解无界域上的非线性规划问题 |
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| 引用本文： | 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(Z1):185-188. |
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| 作者姓名： | 苏孟龙 王建 |
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| 作者单位： | 洛阳师范学院数学科学学院;中国海洋大学数学科学学院; |
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| 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 |
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| 摘 要： | 冯果忱等人提出了同伦内点方法,在可行域有界的条件下求解一类非线性规划问题,并且还猜想此结果能够推广到无界可行域上。本文提出1个无界性条件,在此基础上,部分解决了该猜想。最后给出2个数值例子来进一步验证结果的有效性。
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| 关 键 词： | 同伦内点方法 非线性规划问题 无界集 |
Solving Nonlinear Programming Problems on Unbounded Sets Via A Homotopy Interior Point Method |
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| SU Meng-Long,WANG Jian.Solving Nonlinear Programming Problems on Unbounded Sets Via A Homotopy Interior Point Method[J].Periodical of Ocean University of China,2011(Z1):185-188. |
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| Authors: | SU Meng-Long WANG Jian |
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| Institution: | SU Meng-Long1,WANG Jian2(1.College of Mathematics,Luoyang Normal University,Luoyang 471022,China,2.School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China) |
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| 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. |
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| Keywords: | homotopy interior point method nonlinear programming problems unbounded sets |
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