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Preprint Sep 2026

Restricted-Multiplier Positivstellens\"atze for Polynomial Optimization with Affine Parameters

We develop positivity certificates for polynomials that are affine in auxiliary parameters, with sum-of-squares multipliers depending only on the principal variables. Under a restricted Archimedean order-unit condition, every strictly positive scalar polynomial admits such a certificate. We construct a convergent restr...

Jie Wang · 0 citations

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