How Does FindMinimum Handle "Or" Constraints?
In[37]:= FindMinimum[{x + y, Or[(x - 2)^2 + y^2 == 1, (x + 2)^2 + (y + 1)^2 == 1]}, {x, y}, Method -> "IPOPT"] Out[37]= {-4.41421, {x -> -2.70711, y -> -1.70711}}
Presumably FindMinimum can call IPOPT more than once, each time with a problem corresponding to one of the Or'd constraints.
I frequently use IPOPTLink but it won't handle Or constraints, so I'm puzzled that FindMinimum can, with Method -> "IPOPT:
