I have studied and understood the Moment-SOS hierarchy proposed by Lasserre where a sequence of semidefinite programs are required to be solved and a rank condition for the moment matrices is invoked in order to check if the global solution is found. I was not able to find such conditions for its dual viewpoint ( also known as the Putinar's Positivstellensatz). Alternatively, is there a similar rank condition for Parrilo's sum-of-squares relaxation?
2026-03-25 15:52:34.1774453954
Convergence of sum of squares relaxations for global polynomial optimization
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