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Original Message (ID '142798') By Nasser M. Abbasi:
I like the trick above by JF. I think Mathematica should have an easy and more consistent way to find this information. It is always a struggle to find these things. Not good. Doing this below gives some, but it seems not all the Methods used by FindMinimum are in its context so this list is not as long as one shown by JF above. In[89]:= Names["FindMinimum`*"] Out[89]= {FindMinimum`ConjugateGradient, FindMinimum`FMsymbol, FindMinimum`InitializeMethod, FindMinimum`InteriorPoint, FindMinimum`LevenbergMarquardt, FindMinimum`Newton, FindMinimum`QuasiNewton}