|
|
|
|
@@ -0,0 +1,281 @@
|
|
|
|
|
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
|
|
|
|
<html xmlns="http://www.w3.org/1999/xhtml">
|
|
|
|
|
<head>
|
|
|
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
|
|
|
|
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
|
|
|
|
<meta name="generator" content="Doxygen 1.8.18"/>
|
|
|
|
|
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
|
|
|
|
<title>Algorithms_in_C++: numerical_methods/newton_raphson_method.cpp File Reference</title>
|
|
|
|
|
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
|
|
|
|
|
<script type="text/javascript" src="../../jquery.js"></script>
|
|
|
|
|
<script type="text/javascript" src="../../dynsections.js"></script>
|
|
|
|
|
<link href="../../navtree.css" rel="stylesheet" type="text/css"/>
|
|
|
|
|
<script type="text/javascript" src="../../resize.js"></script>
|
|
|
|
|
<script type="text/javascript" src="../../navtreedata.js"></script>
|
|
|
|
|
<script type="text/javascript" src="../../navtree.js"></script>
|
|
|
|
|
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
|
|
|
|
|
<script type="text/javascript" src="../../search/searchdata.js"></script>
|
|
|
|
|
<script type="text/javascript" src="../../search/search.js"></script>
|
|
|
|
|
<script type="text/x-mathjax-config">
|
|
|
|
|
MathJax.Hub.Config({
|
|
|
|
|
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
|
|
|
|
|
jax: ["input/TeX","output/HTML-CSS"],
|
|
|
|
|
});
|
|
|
|
|
</script>
|
|
|
|
|
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
|
|
|
|
|
<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
|
|
|
|
|
</head>
|
|
|
|
|
<body>
|
|
|
|
|
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
|
|
|
|
<div id="titlearea">
|
|
|
|
|
<table cellspacing="0" cellpadding="0">
|
|
|
|
|
<tbody>
|
|
|
|
|
<tr style="height: 56px;">
|
|
|
|
|
<td id="projectalign" style="padding-left: 0.5em;">
|
|
|
|
|
<div id="projectname">Algorithms_in_C++
|
|
|
|
|
 <span id="projectnumber">1.0.0</span>
|
|
|
|
|
</div>
|
|
|
|
|
<div id="projectbrief">Set of algorithms implemented in C++.</div>
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
</tbody>
|
|
|
|
|
</table>
|
|
|
|
|
</div>
|
|
|
|
|
<!-- end header part -->
|
|
|
|
|
<!-- Generated by Doxygen 1.8.18 -->
|
|
|
|
|
<script type="text/javascript">
|
|
|
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
|
|
|
var searchBox = new SearchBox("searchBox", "../../search",false,'Search');
|
|
|
|
|
/* @license-end */
|
|
|
|
|
</script>
|
|
|
|
|
<script type="text/javascript" src="../../menudata.js"></script>
|
|
|
|
|
<script type="text/javascript" src="../../menu.js"></script>
|
|
|
|
|
<script type="text/javascript">
|
|
|
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
|
|
|
$(function() {
|
|
|
|
|
initMenu('../../',true,false,'search.php','Search');
|
|
|
|
|
$(document).ready(function() { init_search(); });
|
|
|
|
|
});
|
|
|
|
|
/* @license-end */</script>
|
|
|
|
|
<div id="main-nav"></div>
|
|
|
|
|
</div><!-- top -->
|
|
|
|
|
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
|
|
|
|
<div id="nav-tree">
|
|
|
|
|
<div id="nav-tree-contents">
|
|
|
|
|
<div id="nav-sync" class="sync"></div>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
<div id="splitbar" style="-moz-user-select:none;"
|
|
|
|
|
class="ui-resizable-handle">
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
<script type="text/javascript">
|
|
|
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
|
|
|
$(document).ready(function(){initNavTree('de/dd3/newton__raphson__method_8cpp.html','../../'); initResizable(); });
|
|
|
|
|
/* @license-end */
|
|
|
|
|
</script>
|
|
|
|
|
<div id="doc-content">
|
|
|
|
|
<!-- window showing the filter options -->
|
|
|
|
|
<div id="MSearchSelectWindow"
|
|
|
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
|
|
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
|
|
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
<!-- iframe showing the search results (closed by default) -->
|
|
|
|
|
<div id="MSearchResultsWindow">
|
|
|
|
|
<iframe src="javascript:void(0)" frameborder="0"
|
|
|
|
|
name="MSearchResults" id="MSearchResults">
|
|
|
|
|
</iframe>
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
<div class="header">
|
|
|
|
|
<div class="summary">
|
|
|
|
|
<a href="#define-members">Macros</a> |
|
|
|
|
|
<a href="#func-members">Functions</a> </div>
|
|
|
|
|
<div class="headertitle">
|
|
|
|
|
<div class="title">newton_raphson_method.cpp File Reference</div> </div>
|
|
|
|
|
</div><!--header-->
|
|
|
|
|
<div class="contents">
|
|
|
|
|
|
|
|
|
|
<p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Newton%27s_method">Newton-Raphson method</a> for both real and complex solutions.
|
|
|
|
|
<a href="#details">More...</a></p>
|
|
|
|
|
<div class="textblock"><code>#include <cmath></code><br />
|
|
|
|
|
<code>#include <ctime></code><br />
|
|
|
|
|
<code>#include <iostream></code><br />
|
|
|
|
|
<code>#include <limits></code><br />
|
|
|
|
|
</div><div class="textblock"><div class="dynheader">
|
|
|
|
|
Include dependency graph for newton_raphson_method.cpp:</div>
|
|
|
|
|
<div class="dyncontent">
|
|
|
|
|
<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>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
</div><table class="memberdecls">
|
|
|
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
|
|
|
|
|
Macros</h2></td></tr>
|
|
|
|
|
<tr class="memitem:a002b2f4894492820fe708b1b7e7c5e70"><td class="memItemLeft" align="right" valign="top"><a id="a002b2f4894492820fe708b1b7e7c5e70"></a>
|
|
|
|
|
#define </td><td class="memItemRight" valign="bottom"><b>EPSILON</b>   1e-6</td></tr>
|
|
|
|
|
<tr class="separator:a002b2f4894492820fe708b1b7e7c5e70"><td class="memSeparator" colspan="2"> </td></tr>
|
|
|
|
|
<tr class="memitem:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="memItemLeft" align="right" valign="top"><a id="a0a3abbca80bc98e7abcb3ae73abe0f14"></a>
|
|
|
|
|
#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dd3/newton__raphson__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>   50000</td></tr>
|
|
|
|
|
<tr class="memdesc:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="mdescLeft"> </td><td class="mdescRight">Maximum number of iterations to check. <br /></td></tr>
|
|
|
|
|
<tr class="separator:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="memSeparator" colspan="2"> </td></tr>
|
|
|
|
|
</table><table class="memberdecls">
|
|
|
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
|
|
|
|
|
Functions</h2></td></tr>
|
|
|
|
|
<tr class="memitem:a2003b5b2dcfff0769b957ab5c968b03d"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a> (double i)</td></tr>
|
|
|
|
|
<tr class="separator:a2003b5b2dcfff0769b957ab5c968b03d"><td class="memSeparator" colspan="2"> </td></tr>
|
|
|
|
|
<tr class="memitem:a3d3f7f41977394680af6ebbed96f3386"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386">eq_der</a> (double i)</td></tr>
|
|
|
|
|
<tr class="separator:a3d3f7f41977394680af6ebbed96f3386"><td class="memSeparator" colspan="2"> </td></tr>
|
|
|
|
|
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dd3/newton__raphson__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
|
|
|
|
|
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
|
|
|
|
|
</table>
|
|
|
|
|
<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/Newton%27s_method">Newton-Raphson method</a> for both real and complex solutions. </p>
|
|
|
|
|
<p>The \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
|
|
|
|
|
\[ x_{i+1} = x_i - \frac{f(x_i)}{f'(x_i)} \]
|
|
|
|
|
</p>
|
|
|
|
|
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
|
|
|
|
|
<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>
|
|
|
|
|
</div><h2 class="groupheader">Function Documentation</h2>
|
|
|
|
|
<a id="a2003b5b2dcfff0769b957ab5c968b03d"></a>
|
|
|
|
|
<h2 class="memtitle"><span class="permalink"><a href="#a2003b5b2dcfff0769b957ab5c968b03d">◆ </a></span>eq()</h2>
|
|
|
|
|
|
|
|
|
|
<div class="memitem">
|
|
|
|
|
<div class="memproto">
|
|
|
|
|
<table class="mlabels">
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="mlabels-left">
|
|
|
|
|
<table class="memname">
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="memname">static double eq </td>
|
|
|
|
|
<td>(</td>
|
|
|
|
|
<td class="paramtype">double </td>
|
|
|
|
|
<td class="paramname"><em>i</em></td><td>)</td>
|
|
|
|
|
<td></td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</td>
|
|
|
|
|
<td class="mlabels-right">
|
|
|
|
|
<span class="mlabels"><span class="mlabel">static</span></span> </td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</div><div class="memdoc">
|
|
|
|
|
<p>define \(f(x)\) to find root for </p>
|
|
|
|
|
<div class="fragment"><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  {</div>
|
|
|
|
|
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">return</span> (<a class="codeRef" 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"><a name="l00028"></a><span class="lineno"> 28</span> }</div>
|
|
|
|
|
</div><!-- fragment --><div class="dynheader">
|
|
|
|
|
Here is the call graph for this function:</div>
|
|
|
|
|
<div class="dyncontent">
|
|
|
|
|
<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>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
<a id="a3d3f7f41977394680af6ebbed96f3386"></a>
|
|
|
|
|
<h2 class="memtitle"><span class="permalink"><a href="#a3d3f7f41977394680af6ebbed96f3386">◆ </a></span>eq_der()</h2>
|
|
|
|
|
|
|
|
|
|
<div class="memitem">
|
|
|
|
|
<div class="memproto">
|
|
|
|
|
<table class="mlabels">
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="mlabels-left">
|
|
|
|
|
<table class="memname">
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="memname">static double eq_der </td>
|
|
|
|
|
<td>(</td>
|
|
|
|
|
<td class="paramtype">double </td>
|
|
|
|
|
<td class="paramname"><em>i</em></td><td>)</td>
|
|
|
|
|
<td></td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</td>
|
|
|
|
|
<td class="mlabels-right">
|
|
|
|
|
<span class="mlabels"><span class="mlabel">static</span></span> </td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</div><div class="memdoc">
|
|
|
|
|
<p>define the derivative function \(f'(x)\) </p>
|
|
|
|
|
<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  {</div>
|
|
|
|
|
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">return</span> ((3 * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(i, 2)) - 4); <span class="comment">// derivative of equation</span></div>
|
|
|
|
|
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> }</div>
|
|
|
|
|
</div><!-- fragment --><div class="dynheader">
|
|
|
|
|
Here is the call graph for this function:</div>
|
|
|
|
|
<div class="dyncontent">
|
|
|
|
|
<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/dd3/newton__raphson__method_8cpp_a3d3f7f41977394680af6ebbed96f3386_cgraph.svg" width="192" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
|
|
|
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
|
|
|
|
|
|
|
|
|
|
<div class="memitem">
|
|
|
|
|
<div class="memproto">
|
|
|
|
|
<table class="memname">
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="memname">int main </td>
|
|
|
|
|
<td>(</td>
|
|
|
|
|
<td class="paramname"></td><td>)</td>
|
|
|
|
|
<td></td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</div><div class="memdoc">
|
|
|
|
|
<p>Main function </p>
|
|
|
|
|
<div class="fragment"><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  {</div>
|
|
|
|
|
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>)); <span class="comment">// initialize randomizer</span></div>
|
|
|
|
|
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
|
|
|
|
|
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordtype">double</span> z, c = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 100, m, n;</div>
|
|
|
|
|
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordtype">int</span> i;</div>
|
|
|
|
|
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
|
|
|
|
|
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nInitial approximation: "</span> << c;</div>
|
|
|
|
|
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
|
|
|
|
|
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// start iterations</span></div>
|
|
|
|
|
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">for</span> (i = 0; i < <a class="code" href="../../de/dd3/newton__raphson__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>; i++) {</div>
|
|
|
|
|
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  m = <a class="code" href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(c);</div>
|
|
|
|
|
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  n = <a class="code" href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386">eq_der</a>(c);</div>
|
|
|
|
|
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
|
|
|
|
|
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  z = c - (m / n);</div>
|
|
|
|
|
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  c = z;</div>
|
|
|
|
|
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
|
|
|
|
|
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">if</span> (std::abs(m) < EPSILON) <span class="comment">// stoping criteria</span></div>
|
|
|
|
|
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">break</span>;</div>
|
|
|
|
|
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
|
|
|
|
|
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
|
|
|
|
|
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n\nRoot: "</span> << z << <span class="stringliteral">"\t\tSteps: "</span> << i << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
|
|
|
|
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">return</span> 0;</div>
|
|
|
|
|
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> }</div>
|
|
|
|
|
</div><!-- fragment --><div class="dynheader">
|
|
|
|
|
Here is the call graph for this function:</div>
|
|
|
|
|
<div class="dyncontent">
|
|
|
|
|
<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/dd3/newton__raphson__method_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="190" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
</div><!-- contents -->
|
|
|
|
|
</div><!-- doc-content -->
|
|
|
|
|
<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
|
|
|
|
|
<div class="ttc" id="anewton__raphson__method_8cpp_html_a0a3abbca80bc98e7abcb3ae73abe0f14"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a></div><div class="ttdeci">#define MAX_ITERATIONS</div><div class="ttdoc">Maximum number of iterations to check.</div><div class="ttdef"><b>Definition:</b> newton_raphson_method.cpp:22</div></div>
|
|
|
|
|
<div class="ttc" id="anewton__raphson__method_8cpp_html_a2003b5b2dcfff0769b957ab5c968b03d"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a></div><div class="ttdeci">static double eq(double i)</div><div class="ttdef"><b>Definition:</b> newton_raphson_method.cpp:26</div></div>
|
|
|
|
|
<div class="ttc" id="anewton__raphson__method_8cpp_html_a3d3f7f41977394680af6ebbed96f3386"><div class="ttname"><a href="../../de/dd3/newton__raphson__method_8cpp.html#a3d3f7f41977394680af6ebbed96f3386">eq_der</a></div><div class="ttdeci">static double eq_der(double i)</div><div class="ttdef"><b>Definition:</b> newton_raphson_method.cpp:32</div></div>
|
|
|
|
|
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
|
|
|
|
|
<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
|
|
|
|
|
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
|
|
|
|
|
<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
|
|
|
|
|
<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
|
|
|
|
|
<!-- start footer part -->
|
|
|
|
|
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
|
|
|
|
<ul>
|
|
|
|
|
<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>
|
|
|
|
|
<li class="footer">Generated on Fri Jun 19 2020 16:06:44 for Algorithms_in_C++ by
|
|
|
|
|
<a href="http://www.doxygen.org/index.html">
|
|
|
|
|
<img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
|
|
|
|
|
</ul>
|
|
|
|
|
</div>
|
|
|
|
|
</body>
|
|
|
|
|
</html>
|
github-actions
