A nonsmooth equation system solver based on subgradient method
© 2017 IEEE. 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 n...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/65814 |
| _version_ | 1848761209776504832 |
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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 | © 2017 IEEE. 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. Several numerical experiments show that the proposed method is efficient and robust. |
| first_indexed | 2025-11-14T10:28:02Z |
| format | Conference Paper |
| id | curtin-20.500.11937-65814 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:28:02Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-658142018-02-19T08:06:31Z A nonsmooth equation system solver based on subgradient method Long, Q. Wu, Changzhi © 2017 IEEE. 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. Several numerical experiments show that the proposed method is efficient and robust. 2017 Conference Paper http://hdl.handle.net/20.500.11937/65814 10.1109/ICDSP.2017.8096089 restricted |
| spellingShingle | Long, Q. Wu, Changzhi A nonsmooth equation system solver based on subgradient method |
| title | A nonsmooth equation system solver based on subgradient method |
| title_full | A nonsmooth equation system solver based on subgradient method |
| title_fullStr | A nonsmooth equation system solver based on subgradient method |
| title_full_unstemmed | A nonsmooth equation system solver based on subgradient method |
| title_short | A nonsmooth equation system solver based on subgradient method |
| title_sort | nonsmooth equation system solver based on subgradient method |
| url | http://hdl.handle.net/20.500.11937/65814 |