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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 $[-…
math.OC2015
Semidefinite approximations of the polynomial abscissa
Roxana Heß, Didier Henrion, Jean-Bernard Lasserre +1
Given a univariate polynomial, its abscissa is the maximum real part of its roots. The abscissa arises naturally when controlling linear differential equations. As a function of th…