A quasisecant method for solving a system of nonsmooth equations
In this paper, the solution of nonsmooth equations is studied. We first transform theproblem into an equivalent nonsmooth optimization problem and then the quasisecantmethod is introduced to solve it. Some nonsmooth equations that have arisen from bilevelprogramming problems are solved by our propos...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Elsevier
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/6447 |
| _version_ | 1848745078646898688 |
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| author | Long, Q. Wu, Changzhi |
| author_facet | Long, Q. Wu, Changzhi |
| author_sort | Long, Q. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, the solution of nonsmooth equations is studied. We first transform theproblem into an equivalent nonsmooth optimization problem and then the quasisecantmethod is introduced to solve it. Some nonsmooth equations that have arisen from bilevelprogramming problems are solved by our proposed method. The numerical results showthe effectiveness and efficiency of our proposed method. |
| first_indexed | 2025-11-14T06:11:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-6447 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:11:39Z |
| publishDate | 2013 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-64472017-09-13T16:01:43Z A quasisecant method for solving a system of nonsmooth equations Long, Q. Wu, Changzhi Newton’s method System of nonsmooth equations Quasisecant method Nonsmooth optimization In this paper, the solution of nonsmooth equations is studied. We first transform theproblem into an equivalent nonsmooth optimization problem and then the quasisecantmethod is introduced to solve it. Some nonsmooth equations that have arisen from bilevelprogramming problems are solved by our proposed method. The numerical results showthe effectiveness and efficiency of our proposed method. 2013 Journal Article http://hdl.handle.net/20.500.11937/6447 10.1016/j.camwa.2013.05.018 Elsevier restricted |
| spellingShingle | Newton’s method System of nonsmooth equations Quasisecant method Nonsmooth optimization Long, Q. Wu, Changzhi A quasisecant method for solving a system of nonsmooth equations |
| title | A quasisecant method for solving a system of nonsmooth equations |
| title_full | A quasisecant method for solving a system of nonsmooth equations |
| title_fullStr | A quasisecant method for solving a system of nonsmooth equations |
| title_full_unstemmed | A quasisecant method for solving a system of nonsmooth equations |
| title_short | A quasisecant method for solving a system of nonsmooth equations |
| title_sort | quasisecant method for solving a system of nonsmooth equations |
| topic | Newton’s method System of nonsmooth equations Quasisecant method Nonsmooth optimization |
| url | http://hdl.handle.net/20.500.11937/6447 |