On semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917592632918016 |
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| author | Friedland, Shmuel |
| author_facet | Friedland, Shmuel |
| contents | We give a semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices. We show that the computation of the numerical radius and its dual norm within $\varepsilon$ precision are polynomially time computable in the data and $|\log \varepsilon |$ using the short step, primal interior point method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01629 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices Friedland, Shmuel Optimization and Control 15A60, 15A69, 15B33, 68Q25, 68W25, 90C22, 90C51 We give a semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices. We show that the computation of the numerical radius and its dual norm within $\varepsilon$ precision are polynomially time computable in the data and $|\log \varepsilon |$ using the short step, primal interior point method. |
| title | On semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices |
| topic | Optimization and Control 15A60, 15A69, 15B33, 68Q25, 68W25, 90C22, 90C51 |
| url | https://arxiv.org/abs/2311.01629 |