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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets
verfasst von : Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, CharlesW. Wampler
Erschienen in: Mathematical Software – ICMS 2014
Verlag: Springer Berlin Heidelberg
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Bertini_real
is a command line program for numerically decomposing the real portion of a one- or two-dimensional complex irreducible algebraic set in any reasonable number of variables. Using numerical homotopy continuation to solve a series of polynomial systems via regeneration from a witness set, a set of real vertices is computed, along with connection information and associated homotopy functions. The challenge of embedded singular curves is overcome using isosingular deflation. This decomposition captures the topological information and can be used for further computation and refinement.