无约束全局优化的一个可调参数的填充函数

数学季刊 ›› 2004, Vol. 19 ›› Issue (3): 232-239.

无约束全局优化的一个可调参数的填充函数

Department of Mathematics, University of Science and Technology of Henan, Luoyang 471003, China; Department of Mathematics, Shanghai University, Shanghai 200436, China

收稿日期:2003-05-19 出版日期:2004-09-30 发布日期:2024-03-11
作者简介:SHANG You-lin(1963-),male,native of Luoyang,Henan,an associate professor of University of Science and Technology of Henan,Ph.D.,engages in nonlinear programming,global optimization;LI Xiao- yan(1964-),female,native of Guangyuan,Sichuan,an associate professor of University of Science and Technology of Henan,engages in partial differential equation.
基金资助:
Supported by the National Science Foundation of China(10171118);Supported by the Science Foundation of University of Science and Technology of Henan(2003ZY06)

A Filled Function with Adjustable Parameters for Unconstrained Global Optimization

Department of Mathematics, University of Science and Technology of Henan, Luoyang 471003, China; Department of Mathematics, Shanghai University, Shanghai 200436, China

Received:2003-05-19 Online:2004-09-30 Published:2024-03-11
About author:SHANG You-lin(1963-),male,native of Luoyang,Henan,an associate professor of University of Science and Technology of Henan,Ph.D.,engages in nonlinear programming,global optimization;LI Xiao- yan(1964-),female,native of Guangyuan,Sichuan,an associate professor of University of Science and Technology of Henan,engages in partial differential equation.
Supported by:
Supported by the National Science Foundation of China(10171118);Supported by the Science Foundation of University of Science and Technology of Henan(2003ZY06)

摘要/Abstract

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.

关键词: , filled function, global optimization, global minimizer, unconstrained problem, basin, hill

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.

Key words: , filled function, global optimization, global minimizer, unconstrained problem, basin, hill

中图分类号:

O221.2

尚有林, 李晓燕. 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.

SHANG You-lin, LI Xiao-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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