Dear all,

How to express the following objective function with CVX?

\begin{equation}

\min_{z>0} z*ln(\frac{1}{N}\sum_{k=1}^{N} \exp{(\frac{k}{z})}-\alpha)

\end{equation}

It should be convex.

I also tried smooth_logsumexp in TFOCS and It always reports error in the “-” before \alpha.

Here \alpha is a negative constant.

Thank you in advance.