Comparing acceleration techniques for the Dixon and Macaulay resultants
The Bezout Dixon resultant method for solving systems of polynomial equations lends uself to various heuristic acceleration techniques, previously reported by the present author, which can he extraordinarily effective. In this paper we will discuss how well these techniques apply to the Macaulay resultant In brief, we find that they do work there with some difficulties. but the Dixon method is greatly superior. That they work at all is surprising and begs theoretical explanation. (C) 2008 IMACS Published by Elsevier B V All rights reserved
dixon resultant bezout polynomial system system of equations