I was invited to give a talk at the Numerical Analysis Research Club (NARC) on using Smale’s alpha theory for ertifiable numerical root finding using Newton’s method. This talk is largely based on the undergraduate-level talk I gave at Seattle University
The demonstations were performed in the Python programming language using the iPython Notebook. You can download the notebook used to generate the images in the talk here (.ipynb). I’ve also created a GitHub repo with some implementations of Smale’s alpha theory in various languages at https://github.com/cswiercz/smale.