New Exact Penalty Functions for Nonlinear Constrained Optimization Problems
For two kinds of nonlinear constrained optimization problems, we propose two simple penalty functions, respectively, by augmenting the dimension of the primal problem with a variable that controls the weight of the penalty terms. Both of the penalty functions enjoy improved smoothness. Under mild co...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/738926 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849387275726618624 |
|---|---|
| author | Bingzhuang Liu Wenling Zhao |
| author_facet | Bingzhuang Liu Wenling Zhao |
| author_sort | Bingzhuang Liu |
| collection | DOAJ |
| description | For two kinds of nonlinear constrained optimization problems, we propose two simple penalty functions, respectively, by augmenting the dimension of the primal problem with a variable that controls the weight of the penalty terms. Both of the penalty functions enjoy improved smoothness. Under mild conditions, it can be proved that our penalty functions are both exact in the sense that local minimizers of the associated penalty problem are precisely the local minimizers of the original constrained problem. |
| format | Article |
| id | doaj-art-2f4cf197c3eb4d7c88eafaeef4d7ea15 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2f4cf197c3eb4d7c88eafaeef4d7ea152025-08-20T03:55:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/738926738926New Exact Penalty Functions for Nonlinear Constrained Optimization ProblemsBingzhuang Liu0Wenling Zhao1School of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaSchool of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaFor two kinds of nonlinear constrained optimization problems, we propose two simple penalty functions, respectively, by augmenting the dimension of the primal problem with a variable that controls the weight of the penalty terms. Both of the penalty functions enjoy improved smoothness. Under mild conditions, it can be proved that our penalty functions are both exact in the sense that local minimizers of the associated penalty problem are precisely the local minimizers of the original constrained problem.http://dx.doi.org/10.1155/2014/738926 |
| spellingShingle | Bingzhuang Liu Wenling Zhao New Exact Penalty Functions for Nonlinear Constrained Optimization Problems Abstract and Applied Analysis |
| title | New Exact Penalty Functions for Nonlinear Constrained Optimization Problems |
| title_full | New Exact Penalty Functions for Nonlinear Constrained Optimization Problems |
| title_fullStr | New Exact Penalty Functions for Nonlinear Constrained Optimization Problems |
| title_full_unstemmed | New Exact Penalty Functions for Nonlinear Constrained Optimization Problems |
| title_short | New Exact Penalty Functions for Nonlinear Constrained Optimization Problems |
| title_sort | new exact penalty functions for nonlinear constrained optimization problems |
| url | http://dx.doi.org/10.1155/2014/738926 |
| work_keys_str_mv | AT bingzhuangliu newexactpenaltyfunctionsfornonlinearconstrainedoptimizationproblems AT wenlingzhao newexactpenaltyfunctionsfornonlinearconstrainedoptimizationproblems |