Bertini 2: The redevelopment of Bertini in C++.
The solution of arbitrary polynomial systems is an area of active research, and has many applications in math, science and engineering. This program, Bertini 2, builds on the success of the first Bertini program, and seeks to eventually replace it entirely, as a powerful numerical engine.
The theoretical basis for the solution of polynomials with Bertini is "homotopy continuation", the act of "continuing" from one system into another through a "homotopy", as depicted in the below diagram.
The project is hosted on GitHub.
Please note that this is a long-term project, and is under active development. If you want to help, please see the wiki for contact information. We have opportinuties for all skill levels and interests.
Bertini 2 is Free and Open Source Software. Source is available under GPL Version 3, with additional terms as permitted under Section 7.