English

Cauchy-like and Pellet-like results for polynomials

Numerical Analysis 2016-01-05 v3

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.

Keywords

Cite

@article{arxiv.1506.06320,
  title  = {Cauchy-like and Pellet-like results for polynomials},
  author = {Aaron Melman},
  journal= {arXiv preprint arXiv:1506.06320},
  year   = {2016}
}

Comments

20 pages, 5 figures

R2 v1 2026-06-22T09:57:24.044Z