arget="_top">bisection</a>
      routine which can be useful in its own right in some situations, or alternatively
      for narrowing down the range containing the root, prior to calling a more advanced
      algorithm.
    </p>
<p>
      All the algorithms in this section reduce the diameter of the enclosing interval
      with the same asymptotic efficiency with which they locate the root. This is
      in contrast to the derivative based methods which may <span class="emphasis"><em>never</em></span>
   