This package provides the methods sparseResultant and sparseDiscriminant to calculate sparse resultants and sparse discriminants. As an application, the method determinant(MultidimensionalMatrix) is also provided. See also the package Resultants, which includes methods to calculate dense resultants and dense discriminants.
For the definitions, see one of the following books:
(1) Discriminants, Resultants, and Multidimensional Determinants, by Israel M. Gelfand, Mikhail M. Kapranov and Andrei V. Zelevinsky;
(2) Using Algebraic Geometry, by David A. Cox, John Little, Donal O'shea.
Version 1.1 of this package was accepted for publication in volume 11 of The Journal of Software for Algebra and Geometry on 5 May 2021, in the article A package for computations with sparse resultants (DOI: 10.2140/jsag.2021.11.61). That version can be obtained from the journal.
This documentation describes version 1.2 of SparseResultants.
If you have used this package in your research, please cite it as follows:
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The object SparseResultants is a package, defined in SparseResultants.m2.
The source of this document is in SparseResultants.m2:1037:0.