J. Lasserre

most citedA sum of squares approximation of nonnegative polynomials

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.CO2003

A discrete Farkas lemma

Jean B. Lasserre

Given $A \in Z^{m \times n}$ and $b \in Z^{m}$ , we consider the issue of existence of a nonnegative integral solution $x \in N^{n}$ to the system of linear equations $A x = b$ . We provide a…