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arXiv · 2403.08329

Slow convergence of the moment-SOS hierarchy for an elementary polynomial optimization problem

Didier Henrion·Adrien Le Franc·Victor Magron
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Abstract

We describe a parametric univariate quadratic optimization problem for which the moment-SOS hierarchy has finite but increasingly slow convergence when the parameter tends to its limit value. We estimate the order of finite convergence as a function of the parameter.

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Didier Henrion, Adrien Le Franc, Victor Magron. 2024-03-13. Slow convergence of the moment-SOS hierarchy for an elementary polynomial optimization problem. https://arxiv.org/abs/2403.08329

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