5 problems

Generic finite convergence conjecture. There exists a finite set of polynomials $\varphi_1,\ldots,\varphi_L$ in the coefficients of $f$, $a$, $b$, and $c$ such that, if

Finite convergence conjecture. The hierarchy has finite convergence under the optimality condition assumptions.

Consider a polynomial optimization problem with homogenized constraint polynomials $\tilde{c}_{\mathcal{E}}$ and $\tilde{c}_{\mathcal{I}}$, and let $f_k$ and $f_k^\prime$ denote th…

Let $K$ be an unbounded feasible set for a polynomial optimization problem, and let the hierarchy of Moment-SOS relaxations proposed by Mai, Lasserre and Magron be specialized to t…

Finite-rank convergence conjecture. If the data $\mathbf{a}$ and $\mathbf{b}$ in problem … is satisfied.