e incomplete specification, consider the
function</p>
<div class="math">
\[f:\mathbf{R}^{n\times n}\rightarrow\mathbf{R}, \quad f(X) = \lambda_{\min}(X+X^T)\]</div>
<p>Its hypograph can be represented using a single linear matrix
inequality:</p>
<div class="math">
\[\operatorname{\textbf{hypo}}f = \left\{\, (X,t) \,~|~\, f(X) \geq t \,\right\} = \left\{\, (X,t) \,~|~\, X + X^T - t I \succeq 0 \,\right\}\]</div>
<p>So we can implement this function in CVX as follows:</p>
<div class="highlight-none"><div clas