Abstract by Hayden Ringer
Domain Subdivision and Chebyshev Approximation in Multivariate Root-Finding
Finding common roots of multivariable functions is a key problem with many applications. Techniques for univariate polynomial root-finding have been generalized to systems of multivariate polynomials. We extend these techniques to non-polynomial functions using Chebyshev approximation, and improve on their performance using domain subdivision. Here we present the relevant parts of our algorithm, which is under development as a Python package called YRoots.