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arXiv · 2111.01070

A characterization of the algebraic degree in semidefinite programming

Dang Tuan Hiep·Nguyen Thi Ngoc Giao·Nguyen Thi Mai Van
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Abstract

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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Dang Tuan Hiep, Nguyen Thi Ngoc Giao, Nguyen Thi Mai Van. 2021-11-01. A characterization of the algebraic degree in semidefinite programming. https://doi.org/10.1007/s13348-022-00358-5

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