Numerically intersecting algebraic varieties via witness sets

Abstract

The fundamental construct of numerical algebraic geometry is the representation of an irreducible algebraic set, A, by a witness set, which consists of a polynomial system, F , for which A is an irreducible component of V(F ), a generic linear space L of complementary dimension to A, and a numerical approximation to the set of witness points, L ∩A. Given F… (More)
DOI: 10.1016/j.amc.2012.06.034

Topics

1 Figure or Table

Cite this paper

@article{Hauenstein2013NumericallyIA, title={Numerically intersecting algebraic varieties via witness sets}, author={Jonathan D. Hauenstein and Charles W. Wampler}, journal={Applied Mathematics and Computation}, year={2013}, volume={219}, pages={5730-5742} }