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Computing resultant matrices with Macaulay2 and Maple

Laurent Busé 1
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (... - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : We present implementations in both computer systems Macaulay2 and Maple for computing resultant matrices. We give a brief overview of classical resultants, sparse resultants, residual resultants and determinantal resultants, as well as applications and examples using the two presented libraries that we detail in the appendix.
Keywords : COMPUTATIONAL ALGEBRA RESULTANT MATRICES SOLVING POLYNOMIAL SYSTEMS CAGD MODELISATION SYMBOLIC NUMERIC METHODS EFFECTIVE GEOMETRY
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https://hal.inria.fr/inria-00069898
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Submitted on : Friday, May 19, 2006 - 6:29:06 PM
Last modification on : Monday, October 12, 2020 - 10:27:39 AM
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  • HAL Id : inria-00069898, version 1

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Laurent Busé. Computing resultant matrices with Macaulay2 and Maple. [Research Report] RT-0280, INRIA. 2003, pp.33. ⟨inria-00069898⟩

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