Bibliographic Details
| Title: |
A Sum of Squares Approximation of Nonnegative Polynomials. |
| Authors: |
Lasserre, Jean B.1 lasserre@laas.fr |
| Source: |
SIAM Journal on Optimization. 2006, Vol. 16 Issue 3, p751-765. 15p. |
| Subjects: |
Polynomials, EPSILON (Computer program language), Nonnegative matrices, Vector analysis, Algebra |
| Abstract: |
We show that every real nonnegative polynomial $f$ can be approximated as closely as desired (in the $l_1$-norm of its coefficient vector) by a sequence of polynomials $\{f_\epsilon\}$ that are sums of squares. The novelty is that each $f_\epsilon$ has a simple and explicit form in terms of $f$ and $\epsilon$. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
