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d7/d6a/bisection__method_8cpp.html
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<title>Algorithms_in_C++: numerical_methods/bisection_method.cpp File Reference</title>
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@@ -137,8 +137,8 @@ Functions</h2></td></tr>
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<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">
<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">
\[
x_{i+1} = \frac{a_i+b_i}{2}
\]
@@ -169,7 +169,7 @@ x_{i+1} = \frac{a_i+b_i}{2}
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<p >define \(f(x)\) to find root for </p>
<p>define \(f(x)\) to find root for </p>
<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span> (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(i, 3) - (4 * i) - 9); <span class="comment">// original equation</span></div>
<div class="line"><span class="lineno"> 28</span>}</div>
@@ -198,7 +198,7 @@ Here is the call graph for this function:</div>
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<p >main function </p>
<p>main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 37</span> {</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordtype">double</span> a = -1, b = 1, x, z;</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordtype">int</span> i;</div>
@@ -269,7 +269,7 @@ template&lt;typename T &gt; </div>
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<p >get the sign of any given number </p>
<p>get the sign of any given number </p>
<div class="fragment"><div class="line"><span class="lineno"> 32</span> {</div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">return</span> (T(0) &lt; val) - (val &lt; T(0));</div>
<div class="line"><span class="lineno"> 34</span>}</div>
@@ -282,7 +282,7 @@ template&lt;typename T &gt; </div>
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<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d7/d6a/bisection__method_8cpp.html">bisection_method.cpp</a></li>
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