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- W2143435955 abstract "Let be a set of homogeneous polynomials. Let Z denote the complex projective algebraic set determined by the zero locus of . Numerical-continuation-based methods can be used to produce arbitrary-precision numerical approximations of generic points on each irreducible component of Z. Consider the ideal and the prime decomposition over . This article illustrates how lattice-reduction algorithms may take as input numerically approximated generic points on Z and effectively extract exact elements for each Pi . A collection of examples serves to illustrate the approach and indicate some of the application areas for which this technique is valuable." @default.
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- W2143435955 date "2013-01-01" @default.
- W2143435955 modified "2023-10-17" @default.
- W2143435955 title "Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry" @default.
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- W2143435955 doi "https://doi.org/10.1080/10586458.2013.737640" @default.
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