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A sum of squares approximation of nonnegative polynomials | Jean B. Lasserre
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20 Dec 2004 | Subject: | Algebraic Geometry; Commutative Algebra MSC-class: 11E25; 12D15; 13P05; 12Y05; 90C22; 90C25 | math.AG math.AC | Abstract: | We show that every real nonnegative polynomial $f$ can be approximated as closely as desired by a sequence of polynomials ${f_epsilon}$ that are sums of squares. Each $f_epsilon$ has a simple et explicit form in terms of $f$ and $epsilon$. A special representation is also obtained for convex polynomials, nonnegative on a convex semi-algebraic set. | Source: | arXiv, math.AG/0412398 | Services: | Forum | Review | PDF | Favorites |
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