Vol. 3, No. 1, 2011

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Numerical algebraic geometry

Anton Leykin

Vol. 3 (2011), 5–10

Numerical algebraic geometry uses numerical data to describe algebraic varieties. It is based on numerical polynomial homotopy continuation, which is an alternative to the classical symbolic approaches of computational algebraic geometry. We present a package, whose primary purpose 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.

Mathematical Subject Classification 2010
Primary: 14Q99
Secondary: 68N01
Supplementary material

Macaulay2 source code

Received: 9 November 2009
Revised: 3 March 2011
Accepted: 20 May 2011
Anton Leykin
School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta, GA 30332-0160
United States