Bertini for Macaulay2. Numerical algebraic geometry is the field of computational mathematics concerning the numerical solution of polynomial systems of equations. Bertini, a popular software package for computational applications of this field, includes implementations of a variety of algorithms based on polynomial homotopy continuation. The Macaulay2 package Bertini.m2 provides an interface to Bertini, making it possible to access the core run modes of Bertini in Macaulay2. With these run modes, users can find approximate solutions to zero-dimensional systems and positive-dimensional systems, test numerically whether a point lies on a variety, sample numerically from a variety, and perform parameter homotopy runs. In this talk, a short tutorial will be given for the Macaulay2 package Bertini.m2 and details to an application in algbebraic statistics involving maximum likelihood estimation.
Keywords for this software
References in zbMATH (referenced in 10 articles )
Showing results 1 to 10 of 10.
- Bernstein, Daniel Irving; Farnsworth, Cameron; Rodriguez, Jose Israel: The algebraic matroid of the finite unit norm tight frame (funtf) variety (2020)
- Brysiewicz, Taylor: Numerical software to compute Newton polytopes and tropical membership (2020)
- Maxim, Laurentiu G.; Rodriguez, Jose Israel; Wang, Botong: Defect of Euclidean distance degree (2020)
- Chen, Justin; Kileel, Joe: Numerical implicitization: a Macaulay2 package (2019)
- Brysiewicz, Taylor: Numerical Software to Compute Newton Polytopes and Tropical Membership (2018) arXiv
- Brysiewicz, Taylor: Numerical software to compute Newton polytopes (2018)
- Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank: Numerical computation of Galois groups (2018)
- Martín del Campo, Abraham; Rodriguez, Jose Israel: Critical points via monodromy and local methods (2017)
- Gross, Elizabeth; Harrington, Heather A.; Rosen, Zvi; Sturmfels, Bernd: Algebraic systems biology: a case study for the Wnt pathway (2016)
- Daniel J. Bates, Elizabeth Gross, Anton Leykin, Jose Israel Rodriguez: Bertini for Macaulay2 (2013) arXiv