Macaulay style formulas for sparse resultants

We present formulas for computing the resultant of sparse polyno- mials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the original formulation given by Macaulay for homogeneous polynomials.

Bibliographic Details
Author: D'Andrea, Carlos, 1973-
Format: article
Status:Published version
Publication Date:2002
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7784
Online Access:https://hdl.handle.net/2445/7784
Access Level:Open access
Keyword:Geometria algebraica
Algorismes
Àlgebra commutativa
Computational aspects of commutative algebra
Algorithms
Symbolic computation and algebraic computation
Description
Summary:We present formulas for computing the resultant of sparse polyno- mials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the original formulation given by Macaulay for homogeneous polynomials.