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Solver-o-matic

"These days, even the most pure and abstract mathematics is in danger to be applied."
- Anonymous

Decision Tree for Nonsmooth Optimization Software

Not a problem. Your first choice should be Proximal Bundle Method (MPBNGC) by M.M. Mäkelä. The code includes the constraint handling (bound constraints, linear constraints, and nonlinear/nonsmooth constraints). MPBNGC can also be used via WWW-NIMBUS -system.

For other choices, see e.g.


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