Supporting vectors of a matrix

Hello all,

Is there any way to implement an algorithm on cvx to compute the unitary vectors at which a given matrix attains its norm? That is, we want to solve on cvx the following problem:

\begin{equation*}
\left{\begin{arrray}{l} \max |A x| \ |x|=1 \end{array} \right}
\end{equation*}

Thanks in advanced.

Clemente

No, it cannot do this. But why would you? These are just the singular vectors of A, and there are direct methods to do so.

Thanks for your answer.