@Article{Góra2005,
author = "Góra, Michał",
title = "Convex compact family of polynomials and its stability",
journal = "Opuscula Math.",
year = "2005",
volume = "25",
number = "2",
pages = "189--194",
doi = "http://dx.doi.org/10.7494/OpMath.2005.25.2.189",
url = "http://dx.doi.org/10.7494/OpMath.2005.25.2.189",
abstract = "Let \(P\) be a set of real polynomials of degree \(n\). Set \(P\) can be identified with some subset \(P\) of \(\mathbb{R}^n\) consists of vectors of coefficients of \(P\). If \(P\) is a polytope, then to ascertain whether the entire family of polynomials \(P\) is stable or not, it suffices to examine the stability of the one-dimensional boundary sets of \(P\). In present paper, we extend this result to convex compact polynomial families. Examples are presented to illustrate the results.",
keywords = "stability, convex set of polynomials, regular set",
issn = "1232-9274"
}