| 无约束全局优化的一个可调参数的填充函数 |
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| 引用本文： | SHANG You-lin,LI Xiao-yan(Department of Mathematics,University of Science and Technology of Henan,Luoyang 471003,China,Department of Mathematics,Shanghai University,Shanghai 200436,China ). 无约束全局优化的一个可调参数的填充函数[J]. 数学季刊, 2004, 19(3): 232-239 |
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| 作者姓名： | SHANG You-lin LI Xiao-yan(Department of Mathematics University of Science and Technology of Henan Luoyang 471003 China Department of Mathematics Shanghai University Shanghai 200436 China ) |
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| 作者单位： | Department of Mathematics，University of Science and Technology of Henan，Luoyang 471003，China;Department of Mathematics，Shanghai University，Shanghai 200436，China |
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| 基金项目： | Supported by the National Science Foundation of China(10171118)，Supported by the Science Foundation of University of Science and Technology of Henan(2003ZY06) |
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| 摘 要： | A filled function with adjustable parameters is suggested in this paper for finding a global minimum point of a general class of nonlinear programming problems with a bounded and closed domain. This function has two adjustable parameters. We will discuss the properties of the proposed filled function. Conditions on this function and on the values of parameters are given so that the constructed function has the desired properties of traditional filled function.
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| 关 键 词： | 非线性规划 几何规划 满函数 整体最佳化 |
A Filled Function with Adjustable Parameters for Unconstrained Global Optimization |
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| SHANGYou-lin LIXiao-yan. A Filled Function with Adjustable Parameters for Unconstrained Global Optimization[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 232-239 |
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| Authors: | SHANGYou-lin LIXiao-yan |
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| Affiliation: | DepartmentofMathematics,UniversityofScienceandTechnologyofHenan,Luoyang471003,China |
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| Abstract: | A filled function with adjustable parameters is suggested in this paper for finding a global minimum point of a general class of nonlinear programming problems with a bounded and closed domain. This function has two adjustable parameters. We will discuss the properties of the proposed filled function. Conditions on this function and on the values of parameters are given so that the constructed function has the desired properties of traditional filled function. |
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| Keywords: | filled function global optimization global minimizer unconstrained problem basin hill |
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