SOS Polynomials and Matrix Representations of Rational Real Functions
Complex Variables
2022-11-28 v1
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.
Keywords
Cite
@article{arxiv.2211.13946,
title = {SOS Polynomials and Matrix Representations of Rational Real Functions},
author = {M. F. Bessmertnyi},
journal= {arXiv preprint arXiv:2211.13946},
year = {2022}
}
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19 pages