Comparing acceleration techniques for the Dixon and Macaulay resultants

Robert H. Lewis

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 6, 1146-1152

Abstract: The Bezout–Dixon resultant method for solving systems of polynomial equations lends itself to various heuristic acceleration techniques, previously reported by the present author, which can be 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.

Keywords: Resultant; Polynomial system; System of equations; Bezout; Dixon (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:6:p:1146-1152

DOI: 10.1016/j.matcom.2008.04.020

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