English

A CMV--based eigensolver for companion matrices

Numerical Analysis 2018-11-15 v1

Abstract

In this paper we present a novel matrix method for polynomial rootfinding. By exploiting the properties of the QR eigenvalue algorithm applied to a suitable CMV-like form of a companion matrix we design a fast and computationally simple structured QR iteration.

Keywords

Cite

@article{arxiv.1406.2820,
  title  = {A CMV--based eigensolver for companion matrices},
  author = {Roberto Bevilacqua and Gianna M. Del Corso and Luca gemignani},
  journal= {arXiv preprint arXiv:1406.2820},
  year   = {2018}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-22T04:35:50.227Z