| 基于过滤信赖域算法的非线性二层规划求解方法 |
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| 引用本文： | 徐凌,张圣贵.基于过滤信赖域算法的非线性二层规划求解方法[J].福建师范大学学报(自然科学版),2010,26(2). |
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| 作者姓名： | 徐凌 张圣贵 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建,福州,350108 |
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| 基金项目： | 福建省自然科学基金资助项目(2006J0202);;福建师范大学网络安全与密码技术福建省高校重点实验室2009年度开放课题(09A004) |
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| 摘 要： | 引入过滤信赖域技术,给出了一种利用线性二次二层规划逼近求解非线性二层规划的方法,并通过一个数值试验,验证算法的可行性.
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| 关 键 词： | 二层规划 非线性规划 过滤信赖域方法 逼近 |
A Method for Solving Nonlinear Bilevel Programmings Based on the Filter Trust Region Method |
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| XU Ling,ZHANG Sheng-gui.A Method for Solving Nonlinear Bilevel Programmings Based on the Filter Trust Region Method[J].Journal of Fujian Teachers University(Natural Science),2010,26(2). |
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| Authors: | XU Ling ZHANG Sheng-gui |
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| Institution: | School of Mathematics and Computer Science;Fujian Normal University;Fuzhou;350108;China |
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| Abstract: | Give a method for nonlinear bilevel programs based on the filter trust region method by solving its approximation of programs the linear-quadratic bilevel program. The computational results of an example show the feasibility of the algorithm. |
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| Keywords: | bilevel programming nonlinear programming filter trust region method approximation |
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