% file is s30.tex
We get the dual pair of ``linear type programs''
\[
\begin{array}{llll}
\max & e^ty&\\
{\rm subject~to}
   & C - \Diag(y)  -Z=  0 \\
       & ~Z\succeq 0.
\end{array}
\]
~\\
~\\
\[
\begin{array}{llll}
            \min & \trace CX& \\
{\rm subject~to}
              & \diag(X)= e \\
& ~X\succeq 0.
\end{array}
\]