|This is an overview of most common numerical optimization problems. Some definitions are accompanied with usage example from OpenOpt and/or FuncDesigner frameworks, and, maybe, with some more info; some others have no OpenOpt-connected solvers yet. If your needs are beyond the solvers currently present in OpenOpt, you could take into account that some commercial solvers (e.g. mosek, CPLEX, GuRoBi) have their own Python API.
You can view the set of OpenOpt problems along with lists of solvers and usage samples in a little bit classified representation:
MatrixProblems NonLinearProblems NetworkProblems Other Problems
See also: Stochastic Programming (commercial addon for FuncDesigner, free for small-scaled problems with research / academic purposes)
Matrix Problems Group
NonLinear Problems Group
Network Problems Group
Some other problems our soft can handle