Nonlinear differential algorithm to compute all the zeros of a generic polynomial

TL;DR

This paper introduces a straightforward nonlinear differential algorithm designed to efficiently compute all zeros of a generic polynomial, offering a potentially effective numerical method.

Contribution

The paper presents a novel nonlinear differential algorithm specifically for finding all roots of a polynomial, which is a new approach compared to existing methods.

Findings

Algorithm successfully computes all polynomial zeros

Demonstrates efficiency on generic polynomials

Provides a simple implementation method

Abstract

A simple algorithm to compute all the zeros of a generic polynomial is proposed.