English

Iterative polynomial-root-finding procedure with enhanced accuracy

Numerical Analysis 2020-09-15 v4 Numerical Analysis

Abstract

We devise a simple but remarkably accurate iterative routine for calculating the roots of a polynomial of any degree. We demonstrate that our results have significant improvement in accuracy over those obtained by methods used in popular software packages.

Keywords

Cite

@article{arxiv.1910.03507,
  title  = {Iterative polynomial-root-finding procedure with enhanced accuracy},
  author = {Hashim A. Yamani and Abdulaziz D. Alhaidari},
  journal= {arXiv preprint arXiv:1910.03507},
  year   = {2020}
}

Comments

It turned out that the proposed procedure in this work is a rediscovery of the "Durand-Kerner" method

R2 v1 2026-06-23T11:37:47.380Z