Abstract by Suzanna Stephenson
Moeller-Stetted Matrices for Spectral Rootfinding
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.