Numerical Algebraic Geometry for Macaulay2

Details Numerical Algebraic Geometry for Macaulay2 Numerical Algebraic Geometry for Macaulay2

2009-11-09

arxiv.org/abs/0911.1783v2

Numerical algebraic geometry. JSAG, 3:5-10, 2011

Mathematics

Algebraic Geometry

7 pages

Scientific paper

Numerical Algebraic Geometry uses numerical data to describe algebraic varieties. It is based on the methods of numerical polynomial homotopy continuation, an alternative to the classical symbolic approaches of computational algebraic geometry. We present a package, the driving idea behind which is to interlink the existing symbolic methods of Macaulay2 and the powerful engine of numerical approximate computations. The core procedures of the package exhibit performance competitive with the other homotopy continuation software.

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