| 无约束全局最优化中的无参数填充函数 |
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| 引用本文： | 安澜,张连生,陈美霖,Chen mei-lin.无约束全局最优化中的无参数填充函数[J].上海大学学报(英文版),2004,8(2):117-123. |
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| 作者姓名： | 安澜 张连生 陈美霖 Chen mei-lin |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200436,P.R.China |
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| 摘 要： | The filled function method is an approach for finding a global minimum of multi-dimensional functions.With more and more relevant research,it becomes a promising way used in unconstrained global optimization.Some filled functions with one or two parameters have already been suggested.However,there is no certain criterion to choose a parameter appropriately.In this paper,a parameter-free filled function was proposed.The definition of the original filled function and assumptions of the objective function given by Ge were improved according to the presented parameter-free filled function.The algorithm and numerical results of test functions were reported.Conclusions were drawn in the end.
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| 关 键 词： | 无约束全局最优化 无参数填充函数 局部最小化 多维函数 |
| 收稿时间： | 4 July 2003 |
A parameter-free filled function for unconstrained global optimization |
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| An?Lan,Zhang?Lian-sheng,Chen?Mei-lin.A parameter-free filled function for unconstrained global optimization[J].Journal of Shanghai University(English Edition),2004,8(2):117-123. |
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| Authors: | An Lan Zhang Lian-sheng Chen Mei-lin |
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| Institution: | Department of Mathematics,College of Sciences,Shanghai University,shanghai,200436,P.R.China |
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| Abstract: | The filled function method is an approach for finding a global minimum of multi-dimensional functions. With more and more relevant research, it becomes a promising way used in unconstrained global optimization. Some filled functions with one or two parameters have already been suggested. However, there is no certain criterion to choose a parameter appropriately. In this paper, a parameter-free filled function was proposed. The definition of the original filled function and assumptions of the objective function given by Ge were improved according to the presented parameter-free filled function. The algorithm and numerical results of test functions were reported. Conclusions were drawn in the end. |
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| Keywords: | global optimization filled function method local minimizer |
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