Numerical approximation of multiple isolated roots of analytic systems

TL;DR

This paper presents a numerical method for approximating multiple isolated roots of analytic systems, simplifying previous approaches to improve computational efficiency and accuracy.

Contribution

It introduces a streamlined numerical approach for finding multiple roots of analytic systems, building on prior polynomial root methods.

Findings

Effective approximation of multiple roots demonstrated

Improved computational efficiency over previous methods

Robustness in handling various analytic systems

Abstract

We propose a numerical analysis of a simplified version of the previous paper "Multiplicity hunting and approximating multiple roots of polynomial systems" written by the two authors.