Title
Numerical Algebraic Geometry for Macaulay2
Abstract
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.
Year
Venue
Keywords
2009
Clinical Orthopaedics and Related Research
computer algebra,algebraic geometry,algebraic variety
Field
DocType
Volume
Dimension of an algebraic variety,Function field of an algebraic variety,Algebra,A¹ homotopy theory,Differential algebraic geometry,Algebraic function,Algebraic cycle,Algebraic geometry and analytic geometry,Real algebraic geometry,Mathematics
Journal
abs/0911.1
ISSN
Citations 
PageRank 
Numerical algebraic geometry. JSAG, 3:5-10, 2011
7
0.57
References 
Authors
3
1
Name
Order
Citations
PageRank
Anton Leykin117318.99