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"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 Limited Memory Bundle Method (LMBM) (you need to code difference approximations by yourself). LMBM is specifically developed for large-scale nonsmooth optimization by N. Karmitsa. It works best for highly nonlinear functions. The Fortran 77 source code and the mex-driver (for MatLab users) are available.

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