Positivity of a quartic form

algebraic-geometry inequality polynomials real-algebraic-geometry

Use semidefinite programming (SDP) to compute the sum of squares (SOS) decomposition of a given quartic form. If an SOS decomposition exists, then the quartic form is globally nonnegative.

From one of Parrilo's papers [0]:

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[0] Pablo Parrilo, Semidefinite programming relaxations for semialgebraic problems, 2001.

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