Yang Liao MSc Dissertation 2014/15

A Comparison of the Sylvvester and Bezout Resultant Matrices

Supervised by J.Winkler

Abstract

Some existing methods for the computation of an accuracy greatest common divider (AGCD) which use the Sylvester and Bezout resultant matrices are presented robust and numerically stable but not accurate. This project aims to provide improvements on accuracy for existing algorithms concerning computing Sylvester and Bezout resultant matrices with two polynomials, comparison will be presented in this article.