BertiniLab swMATH ID: 14295 Software Authors: Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew Description: 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. Homepage: https://www.mathworks.com/examples/matlab/11011-bertinilab-user-guide Dependencies: Matlab Keywords: polynomial system; numerical algebraic geometry; Bertini; Matlab Related Software: Bertini; PHCpack; PHClab; NACLab; MultiParEig; Mathematica; BiRoots; rootsb; Matlab; AMPL; Database of Polynomial Systems; CSparse; OpenModelica; JModelica; gPROMS; libMC; Dymola; ASCEND; Ipopt; Modelica Cited in: 6 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year BertiniLab: a MATLAB interface for solving systems of polynomial equations. Zbl 1333.65054Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew 2016 all top 5 Cited by 13 Authors 3 Plestenjak, Bor 2 Hochstenbach, Michiel E. 1 Baharev, Ali 1 Bates, Daniel J. 1 Boralevi, Ada 1 Domes, Ferenc 1 Draisma, Jan 1 Neumaier, Arnold 1 Newell, Andrew J. 1 Niemerg, Matthew E. 1 Telen, Simon 1 Van Barel, Marc 1 van Doornmalen, Jasper Cited in 5 Serials 2 Numerical Algorithms 1 Journal of Computational and Applied Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Scientific Computing 1 SIAM Journal on Applied Algebra and Geometry Cited in 2 Fields 6 Numerical analysis (65-XX) 4 Commutative algebra (13-XX) Citations by Year