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<div class="title">damped_newton_raphson.h</div>  </div>
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<a href="damped__newton__raphson_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Copyright (C) 2020 Zakaria Kasmi &lt;zkasmi@inf.fu-berlin.de&gt;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *               2020 Freie Universität Berlin</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * details.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#ifndef DAMPED_NEWTON_RAPHSON_H_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#define DAMPED_NEWTON_RAPHSON_H_</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="matrix_8h.html">matrix.h</a>&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="vector_8h.html">vector.h</a>&quot;</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;uint8_t <a class="code" href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a>(uint8_t f_length, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                              <span class="keywordtype">double</span> min_lamda, <span class="keywordtype">double</span> eps, uint8_t max_it_num,</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                              <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                              <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                                                      <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                              <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                                                   <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]));</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="keywordtype">double</span> <a class="code" href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(uint8_t m, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                       <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                                               <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                       <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                       );</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="keywordtype">void</span> <a class="code" href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a>(uint8_t m, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                 <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                 <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]),</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                 <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x_arr[]);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="preprocessor">#endif </span><span class="comment">/* DAMPED_NEWTON_RAPHSON_H_ */</span><span class="preprocessor"></span></div>
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<div class="ttc" id="adamped__newton__raphson_8h_html_a0cf3dc5e334091bc43820fa1d8e86c14"><div class="ttname"><a href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a></div><div class="ttdeci">uint8_t damped_newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double min_lamda, double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson.c:32</a></div></div>
<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
<div class="ttc" id="adamped__newton__raphson_8h_html_a46f90a02170f4f35f9b3bdbc5c65271a"><div class="ttname"><a href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a></div><div class="ttdeci">double get_damped_norm(uint8_t m, uint8_t n, vector_t x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Compute the norm of the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00104">damped_newton_raphson.c:104</a></div></div>
<div class="ttc" id="adamped__newton__raphson_8h_html_acd5be84f1d01dfb379d85cc8aef8b65e"><div class="ttname"><a href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a></div><div class="ttdeci">void get_delta_x(uint8_t m, uint8_t n, vector_t x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]), vector_t delta_x_arr[])</div><div class="ttdoc">Compute the correction vector the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00120">damped_newton_raphson.c:120</a></div></div>
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