On the convergence of conditional gradient method for unbounded multiobjective optimization problems
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913254535593984 |
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| author | Chen, Wang Zhao, Yong Tang, Liping Yang, Xinmin |
| author_facet | Chen, Wang Zhao, Yong Tang, Liping Yang, Xinmin |
| contents | This paper focuses on developing a conditional gradient algorithm for multiobjective optimization problems with an unbounded feasible region. We employ the concept of recession cone to establish the well-defined nature of the algorithm. The asymptotic convergence property and the iteration-complexity bound are established under mild assumptions. Numerical examples are provided to verify the algorithmic performance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the convergence of conditional gradient method for unbounded multiobjective optimization problems Chen, Wang Zhao, Yong Tang, Liping Yang, Xinmin Optimization and Control This paper focuses on developing a conditional gradient algorithm for multiobjective optimization problems with an unbounded feasible region. We employ the concept of recession cone to establish the well-defined nature of the algorithm. The asymptotic convergence property and the iteration-complexity bound are established under mild assumptions. Numerical examples are provided to verify the algorithmic performance. |
| title | On the convergence of conditional gradient method for unbounded multiobjective optimization problems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.02671 |