BYU

Abstract by Hayden Ringer

Personal Infomation


Presenter's Name

Hayden Ringer

Degree Level

Masters

Abstract Infomation


Department

Mathematics

Faculty Advisor

Tyler Jarvis

Title

Domain Subdivision and Chebyshev Approximation in Multivariate Root-Finding

Abstract

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.