2022/100/1-2 (8)
—
DOI: 10.5486/PMD.2022.9068
—
pp. 119-128
Hyperbolic polynomials and rigid orders of moduli
Abstract:
We prove that the order of the absolute values of the zeros of a hyperbolic polynomial, with at least one negative and one positive zero, determines the signs of its coefficients if and only if the moduli of the positive and negative zeros interlace.
Keywords: real polynomial in one variable, hyperbolic polynomial, sign pattern, Descartes' rule of sign
Mathematics Subject Classification: 26C10, 30C15