J. Lasserre

most citedA sum of squares approximation of nonnegative polynomials

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math.AG2004

S.o.s. approximation of polynomials nonnegative on a real algebraic set

Jean B. Lasserre

With every real polynomial $f$ , we associate a family ${f_{ε r}}_{ε, r}$ of real polynomials, in explicit form in terms of $f$ and the parameters $ε > 0, r \in N$ , and such that $\Ver…

math.AG2004★ 2 cited

A sum of squares approximation of nonnegative polynomials

Jean B. Lasserre

We show that every real nonnegative polynomial $f$ can be approximated as closely as desired by a sequence of polynomials ${f_{ε}}$ that are sums of squares. Each $f_{ε}$ has a simpl…