definite
matrix <span class="math inline">\(L \, L^{\top}\)</span>. In practice, rounding and loss of precision
may render the result <span class="math inline">\(L \, L^{\top}\)</span> neither symmetric nor positive
definite.</p>
<p>In practice, care must be taken to defend against rounding. For
example, symmetry may be produced by adding <span class="math inline">\(L \, L^{top}\)</span> with its
transpose and dividing by two, or by copying the lower triangular
portion into the upper portion. Positive defin