Best $\ell_1$-approximation of nonnegative polynomials by sums of squares
Optimization and Control
2010-12-16 v1
Abstract
Given a nonnegative polynomial f, we provide an explicit expression for its best -norm approximation by a sum of squares of given degree.
Keywords
Cite
@article{arxiv.1012.3271,
title = {Best $\ell_1$-approximation of nonnegative polynomials by sums of squares},
author = {Jean Lasserre},
journal= {arXiv preprint arXiv:1012.3271},
year = {2010}
}