VOLUME OF SUBLEVEL SETS OF HOMOGENEOUS POLYNOMIALS
Résumé
Consider the sub level set K := {x : g(x) ≤ 1} where g is a positive and homogeneous polynomial. We show that its Lebesgue volume can be approximated as closely as desired by solving a sequence of generalized eigenvalue problems with respect to a pair of Hankel matrices of increasing size, and whose entries are obtained in closed form.
Origine : Fichiers produits par l'(les) auteur(s)
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