On methods for solving nonlinear semidefinite optimization problems
The nonlinear semidefinite optimization problem arises from applications in system control, structural design, financial management, and other fields. However, much work is yet to be done to effectively solve this problem. We introduce some new theoretical and algorithmic development in this field....
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| Format: | Journal Article |
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American Institute of Mathematical Sciences
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/24766 |
| _version_ | 1848751520303022080 |
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| author | Sun, Jie |
| author_facet | Sun, Jie |
| author_sort | Sun, Jie |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The nonlinear semidefinite optimization problem arises from applications in system control, structural design, financial management, and other fields. However, much work is yet to be done to effectively solve this problem. We introduce some new theoretical and algorithmic development in this field. In particular, we discuss first and second-order algorithms that appear to be promising, which include the alternating direction method, the augmented Lagrangian method, and the smoothing Newton method. Convergence theorems are presented and preliminary numerical results are reported. |
| first_indexed | 2025-11-14T07:54:02Z |
| format | Journal Article |
| id | curtin-20.500.11937-24766 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:54:02Z |
| publishDate | 2011 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-247662019-02-19T05:35:24Z On methods for solving nonlinear semidefinite optimization problems Sun, Jie The nonlinear semidefinite optimization problem arises from applications in system control, structural design, financial management, and other fields. However, much work is yet to be done to effectively solve this problem. We introduce some new theoretical and algorithmic development in this field. In particular, we discuss first and second-order algorithms that appear to be promising, which include the alternating direction method, the augmented Lagrangian method, and the smoothing Newton method. Convergence theorems are presented and preliminary numerical results are reported. 2011 Journal Article http://hdl.handle.net/20.500.11937/24766 10.3934/naco.2011.1.1 American Institute of Mathematical Sciences fulltext |
| spellingShingle | Sun, Jie On methods for solving nonlinear semidefinite optimization problems |
| title | On methods for solving nonlinear semidefinite optimization problems |
| title_full | On methods for solving nonlinear semidefinite optimization problems |
| title_fullStr | On methods for solving nonlinear semidefinite optimization problems |
| title_full_unstemmed | On methods for solving nonlinear semidefinite optimization problems |
| title_short | On methods for solving nonlinear semidefinite optimization problems |
| title_sort | on methods for solving nonlinear semidefinite optimization problems |
| url | http://hdl.handle.net/20.500.11937/24766 |