| Fermat场址问题的信赖域算法 |
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| 引用本文： | 杨益民.Fermat场址问题的信赖域算法[J].高等学校计算数学学报,1997,19(3):224-231. |
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| 作者姓名： | 杨益民 |
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| 作者单位： | 安徽机电学院运筹学研究室 芜湖241000 |
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| 基金项目： | 安徽省高校中青年学科带头人培养基金资助 |
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| 摘 要： | 1 问题及预备引理 设R~n是n维欧氏空间，a_i∈R~n,i=1,2,…，t是t个不共线的点，w_i>0,i=1,2,…,t,┃·┃表欧氏范数，著名的Fermat场址问题是
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| 关 键 词： | Fermat场址问题 信赖域算法 不可微规划 |
A TRUST REGION ALGORITHM FOR FERMAT LOCATION |
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| Yang Yimin.A TRUST REGION ALGORITHM FOR FERMAT LOCATION[J].Numerical Mathematics A Journal of Chinese Universities,1997,19(3):224-231. |
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| Authors: | Yang Yimin |
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| Institution: | Anhui Mechanical and Electronic College |
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| Abstract: | Fermat location is a class of special non-differentiable programming. The trust region methods presented by Dennis etal. (1995) can't be used, because the gradient of the objective function is not continuous at all of the extreme points. In the paper, based on the speciality of Fermat location, a new TR algorithm is proposed and the global convergence of the algorithm is proved under a weaker condition. |
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| Keywords: | Fermat location trust region algorithm global convergence |
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