GpoSolver: a Matlab/C++ toolbox for global polynomial optimization

Abstract Global polynomial optimization can be a powerful tool when applied to engineering problems. One of the most successful methods for solving such problems is based on convex linear matrix inequality (LMI) relaxations. Software implementations of this approach can be found for example in MATLAB toolboxes GloptiPoly and YALMIP. MATLAB language makes it very easy when it comes to modeling polynomial problems. However, when using these toolboxes, MATLAB is also required for the problem solving. GpoSolver aims at bridging this gap by providing a MATLAB-based problem modeling toolbox supplemented by a problem solving backend in a form of a C++ template library. Once a problem is conveniently modeled and parametrized in MATLAB, a C++ class is automatically generated by GpoSolver. This class can be easily included into an existing codebase and used to solve different instances of the problem based on the supplied parameters.