Solving $p$-adic polynomial equations using Jarratt's Method

Stephan Baier, Swarup Kumar Das, Saayan Mukherjee

We implement an iterative numerical method to solve polynomial equations $f(x)=0$ in the $p$-adic numbers, where $f(x)\in {\mathbb{Z}}_p[x]$. This method is a simplified $p$-adic ana…