Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization
A filled function approach is proposed for solving a non-smooth unconstrained global optimization problem. First, the definition of filled function in Zhang (2009) for smooth global optimization is extended to non-smooth case and a new one is put forwarded. Then, a novel filled function is proposed...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/843609 |
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| _version_ | 1832556406820044800 |
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| author | Weixiang Wang Youlin Shang Ying Zhang |
| author_facet | Weixiang Wang Youlin Shang Ying Zhang |
| author_sort | Weixiang Wang |
| collection | DOAJ |
| description | A filled function approach is proposed for solving a non-smooth unconstrained
global optimization problem. First, the definition of filled function in Zhang (2009) for smooth global
optimization is extended to non-smooth case and a new one is put forwarded. Then, a novel filled
function is proposed for non-smooth the global optimization and a corresponding non-smooth algorithm
based on the filled function is designed. At last, a numerical test is made. The computational results
demonstrate that the proposed approach is effcient and reliable. |
| format | Article |
| id | doaj-art-b5d6c644f4814ca58411c711cc4342a6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b5d6c644f4814ca58411c711cc4342a62025-02-03T05:45:34ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/843609843609Finding Global Minima with a Filled Function Approach for Non-Smooth Global OptimizationWeixiang Wang0Youlin Shang1Ying Zhang2Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, ChinaDepartment of Mathematics, Henan University of Science and Technology, Luoyang 471003, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaA filled function approach is proposed for solving a non-smooth unconstrained global optimization problem. First, the definition of filled function in Zhang (2009) for smooth global optimization is extended to non-smooth case and a new one is put forwarded. Then, a novel filled function is proposed for non-smooth the global optimization and a corresponding non-smooth algorithm based on the filled function is designed. At last, a numerical test is made. The computational results demonstrate that the proposed approach is effcient and reliable.http://dx.doi.org/10.1155/2010/843609 |
| spellingShingle | Weixiang Wang Youlin Shang Ying Zhang Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization Discrete Dynamics in Nature and Society |
| title | Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization |
| title_full | Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization |
| title_fullStr | Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization |
| title_full_unstemmed | Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization |
| title_short | Finding Global Minima with a Filled Function Approach for Non-Smooth Global Optimization |
| title_sort | finding global minima with a filled function approach for non smooth global optimization |
| url | http://dx.doi.org/10.1155/2010/843609 |
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