Paper Info
Title
Homotopy Continuation in Macaulay2.
Abstract
We describe the design and relationships of several Macaulay2 packages that use numerical polynomial homotopy continuation as their engine. Macaulay2 is a computer algebra system built around the classical symbolic computation tools such as Grobner bases. However, recent Macaulay2 versions include its own fast implementation of homotopy continuation, interfaces to external numerical algebraic geometry software (Bertini and PHCpack), and a unified data structures design that allows the use of the internal and external capabilities interchangeably. The resulting numerical and hybrid tools are of general interest to Macaulay2 users interested in computational experimentation.
Year
DOI
Venue
2018
10.1007/978-3-319-96418-8_39
Lecture Notes in Computer Science
Keywords
Field
DocType
Polynomial homotopy continuation,Numerical algebraic geometry,Macaulay2
Data structure,Algebra,Polynomial,Computer science,Symbolic computation,Theoretical computer science,Numerical algebraic geometry,Software,Homotopy continuation
Conference
Volume
ISSN
Citations 
10931
0302-9743
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Anton Leykin117318.99