Solver-o-matic
Decision Tree for Nonsmooth Optimization Software
Your first choice should be Limited Memory
Bundle Method (LMBM). LMBM is specifically developed for
large-scale nonsmooth optimization by N. Karmitsa. LMBM is best suited for highly nonlinear objective functions.
The Fortran 77 source code and the
mex-driver (for MatLab users) are available.
Not satisfied?