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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.16716 |
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| _version_ | 1866910311253016576 |
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| author | Yang, Chengmiao Jiao, Liguo Lee, Jae Hyoung |
| author_facet | Yang, Chengmiao Jiao, Liguo Lee, Jae Hyoung |
| contents | In this paper, we study a class of nonsmooth fractional programs {\rm (FP, for short)} with SOS-convex semi-algebraic functions. Under suitable assumptions, we derive a strong duality result between the problem (FP) and its semidefinite programming (SDP) relaxations. Remarkably, we extract an optimal solution of the problem (FP) by solving one and only one associated SDP problem. Numerical examples are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A parameter-free approach for solving SOS-convex semi-algebraic fractional programs Yang, Chengmiao Jiao, Liguo Lee, Jae Hyoung Optimization and Control 90C32, 90C22, 90C23 In this paper, we study a class of nonsmooth fractional programs {\rm (FP, for short)} with SOS-convex semi-algebraic functions. Under suitable assumptions, we derive a strong duality result between the problem (FP) and its semidefinite programming (SDP) relaxations. Remarkably, we extract an optimal solution of the problem (FP) by solving one and only one associated SDP problem. Numerical examples are also given. |
| title | A parameter-free approach for solving SOS-convex semi-algebraic fractional programs |
| topic | Optimization and Control 90C32, 90C22, 90C23 |
| url | https://arxiv.org/abs/2401.16716 |