A class of nonconvex semidefinite programming in which every KKT point is globally optimal
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916802622128128 |
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| author | Nishioka, Akatsuki Kanno, Yoshihiro |
| author_facet | Nishioka, Akatsuki Kanno, Yoshihiro |
| contents | We consider a special class of nonconvex semidefinite programming problems and show that every point satisfying the Karush--Kuhn--Tucker (KKT) conditions is globally optimal despite nonconvexity. This property is related to pseudoconvex optimization. This class of problems is motivated by an eigenfrequency topology optimization problem in structural engineering, but is presented in a more general form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16739 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of nonconvex semidefinite programming in which every KKT point is globally optimal Nishioka, Akatsuki Kanno, Yoshihiro Optimization and Control We consider a special class of nonconvex semidefinite programming problems and show that every point satisfying the Karush--Kuhn--Tucker (KKT) conditions is globally optimal despite nonconvexity. This property is related to pseudoconvex optimization. This class of problems is motivated by an eigenfrequency topology optimization problem in structural engineering, but is presented in a more general form. |
| title | A class of nonconvex semidefinite programming in which every KKT point is globally optimal |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2506.16739 |