Sum-of-squares certificates for symmetric polynomials on the hypercube: a counterexample to a conjecture of De Klerk and Laurent

Sven Polak

This paper studies sum-of-squares (SoS) representations of nonnegative polynomials over the hypercube $[0,1{]}^n$. De Klerk and Laurent (SIAM J. Optim., 2010) conjectured that the sm…