BYU

Abstract by Suzanna Stephenson

Personal Infomation


Presenter's Name

Suzanna Stephenson

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Tyler Jarvis

Title

Moeller-Stetted Matrices for Spectral Rootfinding

Abstract

The Moeller-Stetter matrix of a system of polynomials represents a linear operator on an algebra associated with the system. It can be viewed as a multivariate generalization of the companion or colleague matrix. Moeller-Stetter matrices have spectral properties that can be used to quickly find the roots of the system. Embedded within a polynomial approximation scheme, this allows for an efficient algorithm for rootfinding with generalized functions.