Numerically intersecting algebraic varieties via witness sets

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Numerically intersecting algebraic varieties via witness sets

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 , methods exist for computing a numeri...

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2013

ISSN: 0096-3003

DOI: 10.1016/j.amc.2012.06.034