Comparing acceleration techniques for the Dixon and Macaulay resultants

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.

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Year of publication:	2010
Authors:	Lewis, Robert H.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2010, 6, p. 1146-1152
Publisher:	Elsevier
Subject:	Resultant \| Polynomial system \| System of equations \| Bezout \| Dixon

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010870411