A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization

This work presents a filled function method based on the filter technique for global optimization. Filled function method is one of the effective methods for nonlinear global optimization, since it can effectively find a better minimizer. Filter technique is applied to local optimization methods for...

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Main Authors: Wei Wang, Xiaoshan Zhang, Min Li
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2015/245427
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author Wei Wang
Xiaoshan Zhang
Min Li
author_facet Wei Wang
Xiaoshan Zhang
Min Li
author_sort Wei Wang
collection DOAJ
description This work presents a filled function method based on the filter technique for global optimization. Filled function method is one of the effective methods for nonlinear global optimization, since it can effectively find a better minimizer. Filter technique is applied to local optimization methods for its excellent numerical results. In order to optimize the filled function method, the filter method is employed for global optimizations in this method. A new filled function is proposed first, and then the algorithm and its properties are proved. The numerical results are listed at the end.
format Article
id doaj-art-468914959bb444caa1676337d3f4e2c0
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-468914959bb444caa1676337d3f4e2c02025-08-20T03:36:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/245427245427A Filled Function Method Dominated by Filter for Nonlinearly Global OptimizationWei Wang0Xiaoshan Zhang1Min Li2Department of Mathematics, East China University of Science and Technology, Shanghai 200237, ChinaShangnan Middle School, South Campus, Shanghai 200123, ChinaDepartment of Mathematics, East China University of Science and Technology, Shanghai 200237, ChinaThis work presents a filled function method based on the filter technique for global optimization. Filled function method is one of the effective methods for nonlinear global optimization, since it can effectively find a better minimizer. Filter technique is applied to local optimization methods for its excellent numerical results. In order to optimize the filled function method, the filter method is employed for global optimizations in this method. A new filled function is proposed first, and then the algorithm and its properties are proved. The numerical results are listed at the end.http://dx.doi.org/10.1155/2015/245427
spellingShingle Wei Wang
Xiaoshan Zhang
Min Li
A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization
Journal of Applied Mathematics
title A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization
title_full A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization
title_fullStr A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization
title_full_unstemmed A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization
title_short A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization
title_sort filled function method dominated by filter for nonlinearly global optimization
url http://dx.doi.org/10.1155/2015/245427
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AT xiaoshanzhang afilledfunctionmethoddominatedbyfilterfornonlinearlyglobaloptimization
AT minli afilledfunctionmethoddominatedbyfilterfornonlinearlyglobaloptimization
AT weiwang filledfunctionmethoddominatedbyfilterfornonlinearlyglobaloptimization
AT xiaoshanzhang filledfunctionmethoddominatedbyfilterfornonlinearlyglobaloptimization
AT minli filledfunctionmethoddominatedbyfilterfornonlinearlyglobaloptimization