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Include dependency graph for newton_raphson_method.cpp:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d38/newton__raphson__method_8cpp__incl.svg" width="323" height="127"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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@@ -132,7 +139,7 @@ constexpr int16_t </td><td class="memItemRight" valign="bottom"><b>MAX_ITER
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p >Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Newton%27s_method" target="_blank">Newton-Raphson method</a> for both real and complex solutions. </p>
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<p >The \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
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<p >The \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
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\[
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x_{i+1} = x_i - \frac{f(x_i)}{f'(x_i)}
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\]
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@@ -141,7 +148,7 @@ x_{i+1} = x_i - \frac{f(x_i)}{f'(x_i)}
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d7/d6a/bisection__method_8cpp.html" title="Solve the equation using bisection method">bisection_method.cpp</a>, <a class="el" href="../../dd/d29/false__position_8cpp.html" title="Solve the equation using false position method, also known as the Secant method.">false_position.cpp</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a2003b5b2dcfff0769b957ab5c968b03d" name="a2003b5b2dcfff0769b957ab5c968b03d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a2003b5b2dcfff0769b957ab5c968b03d">◆ </a></span>eq()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a2003b5b2dcfff0769b957ab5c968b03d">◆ </a></span>eq()</h2>
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@@ -163,7 +170,7 @@ x_{i+1} = x_i - \frac{f(x_i)}{f'(x_i)}
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</tr>
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</div><div class="memdoc">
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<p >define \(f(x)\) to find root for. Currently defined as: </p><p class="formulaDsp">
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<p >define \(f(x)\) to find root for. Currently defined as: </p><p class="formulaDsp">
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\[
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f(x) = x^3 - 4x - 9
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\]
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@@ -175,14 +182,14 @@ f(x) = x^3 - 4x - 9
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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/dd3/newton__raphson__method_8cpp_a2003b5b2dcfff0769b957ab5c968b03d_cgraph.svg" width="170" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/dd3/newton__raphson__method_8cpp_a2003b5b2dcfff0769b957ab5c968b03d_cgraph.svg" width="170" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="a3d3f7f41977394680af6ebbed96f3386" name="a3d3f7f41977394680af6ebbed96f3386"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3d3f7f41977394680af6ebbed96f3386">◆ </a></span>eq_der()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a3d3f7f41977394680af6ebbed96f3386">◆ </a></span>eq_der()</h2>
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</div><div class="memdoc">
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<p >define the derivative function \(f'(x)\) For the current problem, it is: </p><p class="formulaDsp">
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<p >define the derivative function \(f'(x)\) For the current problem, it is: </p><p class="formulaDsp">
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\[
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f'(x) = 3x^2 - 4
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\]
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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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="../../de/dd3/newton__raphson__method_8cpp.html">newton_raphson_method.cpp</a></li>
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