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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Główni autorzy: Đặng, Tuấn Hiệp, Nguyen Thi Ngoc Giao, Nguyen Thi Mai Van
Format: Journal article
Język:English
Wydane: Springer 2023
Dostęp online:https://scholar.dlu.edu.vn/handle/123456789/2318
https://doi.org/10.1007/s13348-022-00358-5
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Opis
Streszczenie: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.