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<title>TheAlgorithms/C++: numerical_methods/bisection_method.cpp File Reference</title>
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@@ -153,7 +153,7 @@ Macros</h2></td></tr>
Functions</h2></td></tr>
<tr class="memitem:a2003b5b2dcfff0769b957ab5c968b03d" id="r_a2003b5b2dcfff0769b957ab5c968b03d"><td class="memItemLeft" align="right" valign="top">static double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a2003b5b2dcfff0769b957ab5c968b03d">eq</a> (double i)</td></tr>
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<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2" id="r_a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2" id="r_a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1ab31b90bc584c635ec159468ceed9b2">sgn</a> (T val)</td></tr>
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@@ -162,8 +162,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method" target="_blank">bisection method</a> </p>
<p>Given two points \(a\) and \(b\) such that \(f(a)&lt;0\) and \(f(b)&gt;0\), then the \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
\[
x_{i+1} = \frac{a_i+b_i}{2}
\[x_{i+1} = \frac{a_i+b_i}{2}
\]
</p>
<p> For the next iteration, the interval is selected as: \([a,x]\) if \(x&gt;0\) or \([x,b]\) if \(x&lt;0\). The Process is continued till a close enough approximation is achieved.</p>
@@ -226,7 +225,7 @@ x_{i+1} = \frac{a_i+b_i}{2}
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@@ -307,7 +306,7 @@ x_{i+1} = \frac{a_i+b_i}{2}
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template&lt;typename T &gt; </div>
template&lt;typename T&gt; </div>
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<td class="memname">int sgn </td>
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