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An explicit construction of distinguished representations of polynomials nonnegative over finite sets

Author(s):

P.A. Parrilo
Conference/Journal:

vol. AUT02-02
Abstract:

We present a simple constructive proof of the existence of distinguished sum of squares representations for polynomials nonnegative over finite sets described by polynomial equalities and inequalities. A degree bound is directly obtained, as the cardinality of the support of the summands equals the number of points in the variety. Only basic results from commutative algebra are used in the construction.

Year:

2002
Type of Publication:

(04)Technical Report
Supervisor:



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% Autogenerated BibTeX entry
@TechReport { Xxx:2002:IFA_544,
    author={P.A. Parrilo},
    title={{An explicit construction of distinguished representations
	  of polynomials nonnegative over finite sets}},
    institution={},
    year={2002},
    number={},
    address={},
    month=mar,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=544}
}
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