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arXiv · 2211.13946

SOS Polynomials and Matrix Representations of Rational Real Functions

M. F. Bessmertnyi
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Abstract

The characteristic properties of Artin's denominators in Hilbert's 17th problem are obtained. It is proved that numerators of partial derivative of rational real function from the Nevanlinna class are SOS polynomials.

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M. F. Bessmertnyi. 2022-11-25. SOS Polynomials and Matrix Representations of Rational Real Functions. https://arxiv.org/abs/2211.13946

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