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A Filled Function with Adjustable Parameters for Unconstrained Global Optimization 被引量:1

A Filled Function with Adjustable Parameters for Unconstrained Global Optimization
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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. 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.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第3期232-239,共8页 数学季刊(英文版)
基金 Supported by the National Science Foundation of China(10171118) Supported by the Science Foundation of University of Science and Technology of Henan(2003ZY06)
关键词 非线性规划 几何规划 满函数 整体最佳化 filled function global optimization global minimizer unconstrained problem basin hill
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