A Note on Generalizing Power Bounds for Physical Design
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917360172007424 |
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| author | Angeris, Guillermo |
| author_facet | Angeris, Guillermo |
| contents | In this note we show how to construct a number of nonconvex quadratic inequalities for a variety of physics equations appearing in physical design problems. These nonconvex quadratic inequalities can then be used to construct bounds on physical design problems where the objective is a quadratic or a ratio of quadratics. We show that the quadratic inequalities and the original physics equations are equivalent under a technical condition that holds in many practical cases which is easy to computationally (and, in some cases, manually) verify. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_04411 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Note on Generalizing Power Bounds for Physical Design Angeris, Guillermo Optimization and Control Computational Physics Optics In this note we show how to construct a number of nonconvex quadratic inequalities for a variety of physics equations appearing in physical design problems. These nonconvex quadratic inequalities can then be used to construct bounds on physical design problems where the objective is a quadratic or a ratio of quadratics. We show that the quadratic inequalities and the original physics equations are equivalent under a technical condition that holds in many practical cases which is easy to computationally (and, in some cases, manually) verify. |
| title | A Note on Generalizing Power Bounds for Physical Design |
| topic | Optimization and Control Computational Physics Optics |
| url | https://arxiv.org/abs/2208.04411 |