A Filled Function with Adjustable Parameters for Unconstrained Global Optimization

Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (3): 232-239.

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)

Abstract

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

CLC Number:

O221.2

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.

[1]	WANG Shu, SUN Rui. Global Well-Posedness of the Initial-Boundary Value Problem on Incompressible MHD-Boussinesq Equations with Nonlinear Boundary Conditions [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(3): 290-310.
[2]	DAI Bing-bing, ZHANG Rui-feng. The Polynomial Function Model in Born-Infeld Theory [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 221-236.
[3]	SUN An-qi, LI Feng-jie. Asymptotic Property of Solutions in a 4th-Order Parabolic Model for Epitaxial Growth of Thin Film#br# [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(2): 162-177.
[4]	SHI Jin-cheng , XIAO Sheng-zhong. Continuous Dependence for a Brinkman-Forchheimer Type Model with Temperature-Dependent Solubility [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(3): 308-319.
[5]	LI Shuo, SHANG You-lin, QU De-qiang, . A Novel Parameter-Free Filled Function and Its Application in Least Square Method [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(3): 263-274.
[6]	LIANG Bing-jie. Sparse Reduced-Rank Regression with Outlier Detection [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(3): 275-287.
[7]	LI Hong-jun. Locally Conformal Pseudo-Kähler Finsler Manifolds [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(3): 244-251.
[8]	LIU Jin-zan, QU De-qiang. A New Non-Parameter Filled Function for Global Optimization Problems [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(2): 188-195.
[9]	SONG Yan-bo. On the Diophantine Inequality Problem [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(1): 79-89.
[10]	SHEN Nan , JIN Zheng-fen , WANG Qiu-yu. Nested Alternating Direction Method of Multipliers to Low-Rank and Sparse-Column Matrices Recovery [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(1): 90-110.
[11]	QU De-qiang, WU Dan, SHANG You-lin. A New Filled Function for Global Optimization Problems with Box Constraints [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 354-362.
[12]	WU Chun-jie. Some Results on the Principal Eigenvector [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 401-409.
[13]	ZHOU Jiu-ru. Vanishing Theorems on Smooth Metric Measure Spaces with a Weighted p-Poincaré Inequality [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(3): 311-319.
[14]	HE Dong-lin, LI Yu-yan. Some Notes on Relative Projective and Injective Dimensions [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(2): 171-178.
[15]	ZHAN Yue, SHANG You-lin, QU De-qiang. A New F-C Function for Box Constrained Global Optimization [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(2): 214-220.

A Filled Function with Adjustable Parameters for Unconstrained Global Optimization

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments