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arXiv · 1610.01449

Power majorization between the roots of two polynomials

Minghua Lin·Gord Sinnamon
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Abstract

It is shown that if two hyperbolic polynomials have a particular factorization into quadratics, then their roots satisfy a power majorization relation whenever key coefficients in their factorizations satisfy a corresponding majorization relation. In particular, a numerical observation by Kleme\v{s} is confirmed.

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Minghua Lin, Gord Sinnamon. 2016-09-30. Power majorization between the roots of two polynomials. https://arxiv.org/abs/1610.01449

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