A system of nonsmooth equations solver based upon subgradient method
In this paper, a subgradient method is developed to solve the system of (nonsmooth) equations. First, the system of (nonsmooth) equations is transformed into a nonsmooth optimization problem with zero minimal objective function value. Then, a subgradient method is applied to solve the nonsmooth opti...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/3075 |
| _version_ | 1848744131380117504 |
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| author | Long, Q. Wu, Changzhi Wang, Xiangyu |
| author_facet | Long, Q. Wu, Changzhi Wang, Xiangyu |
| author_sort | Long, Q. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a subgradient method is developed to solve the system of (nonsmooth) equations. First, the system of (nonsmooth) equations is transformed into a nonsmooth optimization problem with zero minimal objective function value. Then, a subgradient method is applied to solve the nonsmooth optimization problem. During the processes, the pre-known optimal objective function value is adopted to update step sizes. The corresponding convergence results are established as well. Several numerical experiments and applications show that the proposed method is efficient and robust. |
| first_indexed | 2025-11-14T05:56:35Z |
| format | Journal Article |
| id | curtin-20.500.11937-3075 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:56:35Z |
| publishDate | 2015 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-30752017-09-13T14:31:36Z A system of nonsmooth equations solver based upon subgradient method Long, Q. Wu, Changzhi Wang, Xiangyu In this paper, a subgradient method is developed to solve the system of (nonsmooth) equations. First, the system of (nonsmooth) equations is transformed into a nonsmooth optimization problem with zero minimal objective function value. Then, a subgradient method is applied to solve the nonsmooth optimization problem. During the processes, the pre-known optimal objective function value is adopted to update step sizes. The corresponding convergence results are established as well. Several numerical experiments and applications show that the proposed method is efficient and robust. 2015 Journal Article http://hdl.handle.net/20.500.11937/3075 10.1016/j.amc.2014.11.064 Elsevier Inc. restricted |
| spellingShingle | Long, Q. Wu, Changzhi Wang, Xiangyu A system of nonsmooth equations solver based upon subgradient method |
| title | A system of nonsmooth equations solver based upon subgradient method |
| title_full | A system of nonsmooth equations solver based upon subgradient method |
| title_fullStr | A system of nonsmooth equations solver based upon subgradient method |
| title_full_unstemmed | A system of nonsmooth equations solver based upon subgradient method |
| title_short | A system of nonsmooth equations solver based upon subgradient method |
| title_sort | system of nonsmooth equations solver based upon subgradient method |
| url | http://hdl.handle.net/20.500.11937/3075 |