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Convergence rate of the moment-SOS hierarchy for univariate polynomial optimization

Henrion, Didier et al.
arXiv (All) · Papers
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optimization-and-control
We study the convergence rate of the moment-SOS (sum-of-squares) hierarchy for polynomial optimization problems (POPs) on a bounded subset of the real line described by arbitrary polynomial inequalities. We prove that, for every fixed univariate POP, the relaxation error is bounded by $O(1/r^2)$, wh
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