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math.OC2003★ 106 cited
The Lax conjecture is true
Adrian S. Lewis, Pablo A. Parrilo, Motakuri V. Ramana
In 1958 Lax conjectured that hyperbolic polynomials in three variables are determinants of linear combinations of three symmetric matrices. This conjecture is equivalent to a recen…
math.OC2001
Minimizing Polynomial Functions
Pablo A. Parrilo, Bernd Sturmfels
We compare algorithms for global optimization of polynomial functions in many variables. It is demonstrated that existing algebraic methods (Gröbner bases, resultants, homotopy met…