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arXiv · 1212.4924

A certificate for semidefinite relaxations in computing positive dimensional real varieties

Yue Ma·Chu Wang·Lihong Zhi
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Abstract

For an ideal I with a positive dimensional real variety, based on moment relaxations, we study how to compute a Pommaret basis which is simultaneously a Groebner basis of an ideal J generated by the kernel of a truncated moment matrix and nesting between I and its real radical ideal. We provide a certificate consisting of a condition on coranks of moment matrices for terminating the algorithm. For a generic delta-regular coordinate system, we prove that the condition is satisfiable in a large enough order of moment relaxations.

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Yue Ma, Chu Wang, Lihong Zhi. 2012-12-20. A certificate for semidefinite relaxations in computing positive dimensional real varieties. https://arxiv.org/abs/1212.4924

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