Vector space bases associated to vanishing ideals of points

Details Vector space bases associated to vanishing ideals of points Vector space bases associated to vanishing ideals of points

2008-08-26

arxiv.org/abs/0808.3591v2

J. Pure Appl. Alg. 214 (2010), no. 4, 309--321

Mathematics

Commutative Algebra

21 pages

Scientific paper

We discuss four different constructions of vector space bases associated to
vanishing ideals of points. We show how to compute normal forms with respect to
these bases and give new complexity bounds. As an application, we improve the
computational algebra approach to the reverse engineering of gene regulatory
networks.

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