Article ID Journal Published Year Pages File Type
4602386 Linear Algebra and its Applications 2008 8 Pages PDF
Abstract

A companion matrix is determined by the zeros of it’s characteristic polynomial. We determine the location of the zeros which yields an elliptic numerical range. In particular we show that given any two complex numbers z1 and z2 there exists a third complex number z3 such that the companion matrix of the polynomial (z-z1)(z-z2)(z-z3) will have elliptic numerical range with foci at z1 and z2.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory