paper

Cauchy-like and Pellet-like results for polynomials

arXiv:1506.06320

Abstract

We obtain several Cauchy-like and Pellet-like results for the zeros of a general complex polynomial by considering similarity transformations of the squared companion matrix and the reformulation of the zeros of a scalar polynomial as the eigenvalues of a polynomial eigenvalue problem.

arXiv comment20 pages, 5 figures