Resumen de A characterization of the algebraic degree in semidefinite programming

Dang Tuan Hiep, Nguyen Thi Ngoc Giao, Nguyen Thi Mai Van

• 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.