BertiniLab

BertiniLab: a MATLAB interface for solving systems of polynomial equations. 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.

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References in zbMATH (referenced in 6 articles , 1 standard article )

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  1. Telen, Simon; Van Barel, Marc: A stabilized normal form algorithm for generic systems of polynomial equations (2018)
  2. Baharev, Ali; Domes, Ferenc; Neumaier, Arnold: A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations (2017)
  3. Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor: Uniform determinantal representations (2017)
  4. Plestenjak, Bor: Minimal determinantal representations of bivariate polynomials (2017)
  5. Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew: BertiniLab: a MATLAB interface for solving systems of polynomial equations (2016)
  6. Plestenjak, Bor; Hochstenbach, Michiel E.: Roots of bivariate polynomial systems via determinantal representations (2016)