On the Bézout construction of the resultant
type: Item
instance of: scholarly article
title: On the Bézout construction of the resultant
zbMATH Open document ID: 0947.13015
author: P. Bikker
author: Alexei Yu. Uteshev
published in: Journal of Symbolic Computation
publication date: 1999-11-25T00:00:00Z
review text: The aim of the paper is to give methods for solving systems of polynomial equations. Ideas of Bezout, Poisson, Netto and Laurent are used. They are treated from determinantal and from Gröbner basis point of view. Effective algorithms are given to compute the multivariate resultant, to find an eliminant or to represent the zeros as rational function of the roots of the eliminant.
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13B25
zbMATH DE Number: 1369539
zbMATH Keywords: solving systems of polynomial equations
zbMATH Keywords: determinantal
zbMATH Keywords: Gröbner basis
zbMATH Keywords: multivariate resultant
describes a project that uses: FGb
describes a project that uses: ISOLATE
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1369539