Subideal Border Bases
Commutative Algebra
2009-05-08 v1
Abstract
In modeling physical systems it is sometimes useful to construct border bases of 0-dimensional polynomial ideals which are contained in the ideal generated by a given set of polynomials. We define and construct such subideal border bases, provide some basic properties and generalize a suitable variant of the Buchberger-Moeller algorithm as well as the AVI-algorithm to the subideal setting. The subideal version of the AVI-algorithm is then applied to an actual industrial problem.
Cite
@article{arxiv.0905.1090,
title = {Subideal Border Bases},
author = {Martin Kreuzer and Henk Poulisse},
journal= {arXiv preprint arXiv:0905.1090},
year = {2009}
}
Comments
18 pages, 1 figure