most citedRational Dual Certificates for Weighted Sums-of-Squares Polynomials with Boundable Bit Size

2 citations · 2 across the 2 of their papers we have counts for

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math.AG2023★ 2 cited

Rational Dual Certificates for Weighted Sums-of-Squares Polynomials with Boundable Bit Size

Maria M. Davis, Dávid Papp

In (Davis and Papp, 2022), the authors introduced the concept of dual certificates of (weighted) sum-of-squares polynomials, which are vectors from the dual cone of weighted sums o…

math.OC2021

Dual certificates and efficient rational sum-of-squares decompositions for polynomial optimization over compact sets

Maria M. Davis, Dávid Papp

We study the problem of computing weighted sum-of-squares (WSOS) certificates for positive polynomials over a compact semialgebraic set. Building on the theory of interior-point me…