rained matrix representation,
then the elements of the constrained matrix <span class="math inline">\(x\)</span> is defined by</p>
<p><span class="math display">\[
x_{m,n} =
\left\{
\begin{array}{cl}
0 &amp; \mbox{if } m &lt; n,
\\
\exp(y_{m,m}) &amp; \mbox{if } m = n, \mbox{ and}
\\
y_{m,n} &amp; \mbox{if } m &gt; n.
\end{array}
\right.
\]</span></p>
</div>
<div id="absolute-jacobian-determinant-of-cholesky-factor-inverse-transform" class="section level3">
<h3 class="unnumbered" number="">Absolute Jacobian