Iterative polynomial-root-finding procedure with enhanced accuracy

TL;DR

This paper introduces a new iterative method for finding polynomial roots that significantly improves accuracy over existing algorithms used in common software.

Contribution

A simple yet highly accurate iterative routine for polynomial root-finding applicable to polynomials of any degree.

Findings

Results show improved accuracy over standard methods.

Method is simple to implement and effective.

Applicable to polynomials of any degree.

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.