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arXiv · 2606.21483

A note on the convergence guarantees of RLT-based algorithms for polynomial optimization

Alejandro Barros-González·Julio González-Díaz·Brais González-Rodríguez·Iria Rodríguez Acevedo
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Abstract

This paper identifies and addresses a mathematical oversight in one of the foundational results on the Reformulation-Linearization Technique (RLT) for polynomial optimization. We then argue that, although correctness of the original result can be easily recovered by adding a minor and natural assumption, not being aware of this nuance may lead to the loss of convergence guarantees in RLT-based algorithms.

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Alejandro Barros-González, Julio González-Díaz, Brais González-Rodríguez, Iria Rodríguez Acevedo. 2026-06-19. A note on the convergence guarantees of RLT-based algorithms for polynomial optimization. https://arxiv.org/abs/2606.21483

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