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A Bounded Degree SOS Plus SONC Hierarchy for Polynomial Optimization

Dressler, Mareike et al.
arXiv (All) · Papers
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52a2090c2690c30algebraic-geometrycombinatoricsoptimization-and-controlprimarysecondary
We propose a bounded degree SOS+SONC hierarchy for constrained polynomial optimization, termed B-SOS+SONC. Starting from Lasserre's bounded-degree SOS framework, we enlarge the certificate cone from SOS to the recently introduced SOS+SONC cone, thereby combining the algebraic strength of semidefinit
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