TY  - JOUR
ID  - Góra2005
LB  - Góra2005
AU  - Góra, Michał
TI  - Convex compact family of polynomials and its stability
ST  - Convex compact family of polynomials and its stability
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 2
SP  - 189
EP  - 194
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.2.189
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.2.189
AB  - 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.
KW  - stability
KW  - convex set of polynomials
KW  - regular set
SN  - 1232-9274
ER  -