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math.OC2016★ 20 cited
Matrices with high completely positive semidefinite rank
Sander Gribling, David de Laat, Monique Laurent
A real symmetric matrix is completely positive semidefinite if it admits a Gram representation by (Hermitian) positive semidefinite matrices of any size . The smallest such…
math.OC2016
Improved convergence rates for Lasserre-type hierarchies of upper bounds for box-constrained polynomial optimization
Etienne de Klerk, Roxana Hess, Monique Laurent
We consider the problem of minimizing a given -variate polynomial over the hypercube . An idea introduced by Lasserre, is to find a probability distribution on $[-…