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Containment regions for zeros of polynomials from numerical ranges of companion matrices
Authors:Hansj  rg Linden
Affiliation:

Fachbereich Mathematik, Fernuniversität-Gesamthochschule, Postfach 940, Lützowstr. 125, D-58084 Hagen, Germany

Abstract:Containment regions for the zeros of a monic polynomial are given with the aid of results for containment regions for the numerical range of certain bordered diagonal matrices which are applied to different types of companion matrices of the polynomial.
Keywords:Numerical range   Bordered diagonal matrix   Companion matrix   Zeros of polynomials
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