Hw5 ex1 - norm minimization

Q How do we solve the minimization problem for $\sqrt{||\dot{x}||}$?

A The minimization of the square root of the norm is difficult, but it's doable by just taking the derivative of the $\sqrt{\cdot }$ function; though one will have the same result by minimizing just $||\dot{x}||$, where with this notation we mean ${\dot{x}}^T\dot{x}$.

Note that in the literature, $||x||$ is generally already defined as $\sqrt{x^{T}x}$.

--Elisa