I need to find a (global) minimum for a vector function.
\[Psi][x_] := N[1/2 F\[Phi][x].F\[Phi][x]]
where:
x is {x1,...,xn}
Fphi is another vector function that returns a vector (so Fphi(x).Fphi(x) is scalar).
If I use Minimize Mathematica returns
In[12]:= Minimize[{\[Psi], x > 0}, x]
Out[12]= {\[Psi], {x -> 1}}
What does it means? x->1....
x= {1,...,1} isn't a minimum for Psi.
How do I do it?
