# Difference between revisions of "Hw5 ex1 - norm minimization"

Q How do we solve the minimization problem for ${\displaystyle {\sqrt {||{\dot {x}}||}}}$?
A The minimization of the square root of the norm is difficult, but it's doable by just taking the derivative of the ${\displaystyle {\sqrt {\cdot }}}$ function; though one will have the same result by minimizing just ${\displaystyle ||{\dot {x}}||}$, where with this notation we mean ${\displaystyle {\dot {x}}^{T}{\dot {x}}}$.
Note that in the literature, ${\displaystyle ||x||}$ is generally already defined as ${\displaystyle {\sqrt {x^{T}x}}}$.