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12.6 Can you perform a smooth reformulation as in the previous question when f is defined by f(x) = = min fi(x)? i=1,2,...,m (N.B. min not max.") Why or why not? 0 : a 12.5 Let v:R" RM be a smooth vector function and consider the unconstrained optimization problems of minimizing f (x) where f(x) = || V(x) ||00, = f(x) = max i=1,2,...,m vi(x). Reformulate these (generally nonsmooth) problems as smooth constrained optimization problems. 12.6 Can you perform a smooth reformulation as in the previous question when f is defined by f(x) = = min fi(x)? i=1,2,...,m (N.B. min not max.") Why or why not? 0 : a 12.5 Let v:R" RM be a smooth vector function and consider the unconstrained optimization problems of minimizing f (x) where f(x) = || V(x) ||00, = f(x) = max i=1,2,...,m vi(x). Reformulate these (generally nonsmooth) problems as smooth constrained optimization problems