A characterization of the algebraic degree in semidefinite programming
In this article, we show that the algebraic degree in semidefinite programming can be expressed in terms of the coefficient of a certain monomial in a doubly symmetric polynomial. This characterization of the algebraic degree allows us to use the theory of symmetric polynomials to obtain many intere...
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| Những tác giả chính: | , , |
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| Format: | Journal article |
| Sprog: | English |
| Udgivet: |
Springer
2023
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| Online adgang: | https://scholar.dlu.edu.vn/handle/123456789/2318 https://doi.org/10.1007/s13348-022-00358-5 |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Summary: | In this article, we show that the algebraic degree in semidefinite programming can be expressed in terms of the coefficient of a certain monomial in a doubly symmetric polynomial. This characterization of the algebraic degree allows us to use the theory of symmetric polynomials to obtain many interesting results of Nie, Ranestad and Sturmfels in a simpler way. |
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