Title
BertiniLab: A MATLAB interface for solving systems of polynomial equations
Abstract
A MATLAB interface to the numerical homotopy continuation package Bertini is described. Bertini solves systems of polynomial equations. BertiniLab can be used to create input files for Bertini, run Bertini and process the solutions. All features of Bertini 1.5 are supported. The user can define the system of equations using a MATLAB numerical function, and vector and matrix operations are allowed. An object-oriented design allows the user to separate the statement of the problem from the details of the solution; the user can create subclasses to provide shortcuts or to tailor BertiniLab to a specific kind of problem. A complete example of an application to ferromagnetism is presented.
Year
DOI
Venue
2016
10.1007/s11075-015-0014-6
Numerical Algorithms
Keywords
DocType
Volume
Polynomial system,Numerical algebraic geometry,Bertini,MATLAB
Journal
71
Issue
ISSN
Citations 
1
1017-1398
2
PageRank 
References 
Authors
0.40
5
3
Name
Order
Citations
PageRank
Daniel J. Bates110312.03
Andrew J. Newell2894.81
Matthew E. Niemerg362.53