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Comparing acceleration techniques for the Dixon and Macaulay resultants

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  • Lewis, Robert H.

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.

Suggested Citation

  • Lewis, Robert H., 2010. "Comparing acceleration techniques for the Dixon and Macaulay resultants," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1146-1152.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1146-1152
    DOI: 10.1016/j.matcom.2008.04.020
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    References listed on IDEAS

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    1. Lewis, Robert H., 2008. "Heuristics to accelerate the Dixon resultant," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(4), pages 400-407.
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