| 求解一类非线性规划的连续同伦方法(英文) |
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| 引用本文： | 苏孟龙,吕显瑞.求解一类非线性规划的连续同伦方法(英文)[J].东北数学,2008,24(3):265-274. |
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| 作者姓名： | 苏孟龙 吕显瑞 |
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| 作者单位： | College of Mathematics Science;Luoyang Normal University;College of Mathematics;Jilin University; |
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| 基金项目： | The authors express their sincere thanks to Professor Li Yong for his instructions and many invaluable suggestions. |
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| 摘 要： | In this paper we present a homotopy continuation method for finding the Karush-Kuhn-Tucker point of a class of nonlinear non-convex programming problems. Two numerical examples are given to show that this method is effective. It should be pointed out that we extend the results of Lin et al. （see Appl. Math. Comput., 80（1996）, 209-224） to a broader class of non-convex programming problems.
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| 关 键 词： | 求解方法 一类非线性规划 连续同伦方法 数学分析 |
Solving a Class of Nonlinear Programming Problems via a Homotopy Continuation Method |
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| SU Meng-long,L Xian-rui.Solving a Class of Nonlinear Programming Problems via a Homotopy Continuation Method[J].Northeastern Mathematical Journal,2008,24(3):265-274. |
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| Authors: | SU Meng-long L Xian-rui |
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| Institution: | [1]College of Mathematics Science, Luoyang Normal University, Luoyang Henan 471000 [2]College of Mathematics, Jilin University, Changchun 130012t |
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| Abstract: | In this paper we present a homotopy continuation method for finding the Karush-Kuhn-Tucker point of a class of nonlinear non-convex programming problems.Two numerical examples are given to show that this method is effective. It should be pointed out that we extend the results of Linet al (see Appl. Math. Comput.,80(1996), 209-224) to a broader class of non-convex programming problems. |
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| Keywords: | homotopy continuation method Karush-Knhn-Tuckerpoint non-convex programming problem |
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