Facial structure of copositive and completely positive cones over a second-order cone
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910132210761728 |
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| author | Nishijima, Mitsuhiro Lourenço, Bruno F. |
| author_facet | Nishijima, Mitsuhiro Lourenço, Bruno F. |
| contents | We classify the faces of copositive and completely positive cones over a second-order cone and investigate their dimension and exposedness properties. Then we compute two parameters related to chains of faces of both cones. At the end, we discuss some possible extensions of the results with a view toward analyzing the facial structure of general copositive and completely positive cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Facial structure of copositive and completely positive cones over a second-order cone Nishijima, Mitsuhiro Lourenço, Bruno F. Optimization and Control We classify the faces of copositive and completely positive cones over a second-order cone and investigate their dimension and exposedness properties. Then we compute two parameters related to chains of faces of both cones. At the end, we discuss some possible extensions of the results with a view toward analyzing the facial structure of general copositive and completely positive cones. |
| title | Facial structure of copositive and completely positive cones over a second-order cone |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2502.04006 |