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arXiv · 2604.00180

Sparse Copositive Polynomial Optimization

Suhan Zhong·Jinling Zhou·Jiawang Nie·Xindong Tang
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Abstract

This paper studies the copositive optimization problem whose objective is a sparse polynomial, with linear constraints over the nonnegative orthant. We propose sparse Moment-SOS relaxations to solve it. Necessary and sufficient conditions are shown for these relaxations to be tight. In particular, we prove they are tight under the cop-SOS convexity assumption. Compared to the traditional dense ones, the sparse Moment-SOS relaxations are more computationally efficient. Numerical experiments are given to show the efficiency.

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Suhan Zhong, Jinling Zhou, Jiawang Nie, Xindong Tang. 2026-03-31. Sparse Copositive Polynomial Optimization. https://arxiv.org/abs/2604.00180

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