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Erschienen in:
2000 | OriginalPaper | Buchkapitel
Squared Functional Systems and Optimization Problems
verfasst von : Yurii Nesterov
Erschienen in: High Performance Optimization
Verlag: Springer US
Enthalten in: Professional Book Archive
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In this paper we give an explicit description of the cones of polynomials represent able as a sum of squared functions. We prove that such cones can be always seen as a linear image of the cone of positive semidefinite matrices. As a consequence of the result, we get a description of the cones of univariate polynomials, which are non-negative on a ray and on an interval, and a description of non-negative trigonometric polynomials. We discuss some applications of the results to multi-variate polynomials.