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Next: <a href="Root-Finding-Iteration.html#Root-Finding-Iteration" accesskey="n" rel="next">Root Finding Iteration</a>, Previous: <a href="Providing-the-function-to-solve.html#Providing-the-function-to-solve" accesskey="p" rel="previous">Providing the function to solve</a>, Up: <a href="One-dimensional-Root_002dFinding.html#One-dimensional-Root_002dFinding" accesskey="u" rel="up">One dimensional Root-Finding</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Search-Bounds-and-Guesses-1"></a>
<h3 class="section">34.5 Search Bounds and Guesses</h3>
<a name="index-root-finding_002c-search-bounds"></a>
<a name="index-root-finding_002c-initial-guess"></a>

<p>You provide either search bounds or an initial guess; this section
explains how search bounds and guesses work and how function arguments
control them.
</p>
<p>A guess is simply an <em>x</em> value which is iterated until it is within
the desired precision of a root.  It takes the form of a <code>double</code>.
</p>
<p>Search bounds are the endpoints of an interval which is iterated until
the length of the interval is smaller than the requested precision.  The
interval is defined by two values, the lower limit and the upper limit.
Whether the endpoints are intended to be included in the interval or not
depends on the context in which the interval is used.
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