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<div class="title">solve.h</div>  </div>
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<a href="solve_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="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#ifndef SOLVE_H_</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#define SOLVE_H_</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</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="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="pseudo__inverse_8h.html">pseudo_inverse.h</a>&quot;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;int8_t <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;             <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n], <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo);</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;int8_t <a class="code" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                              <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                              <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n]);</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;int8_t <a class="code" href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                         <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n]);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160; </div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;int8_t <a class="code" href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                       <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n]);</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;<span class="preprocessor">#endif </span><span class="comment">/* SOLVE_H_ */</span><span class="preprocessor"></span></div>
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<div class="ttc" id="asolve_8h_html_ac728f92ed0a0cba0e8776222acfe1d88"><div class="ttname"><a href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a></div><div class="ttdeci">int8_t solve_givens(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m  n) linear system Ax = b, using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00102">solve.c:102</a></div></div>
<div class="ttc" id="asolve_8h_html_a96faf0d4f04f27a12e4ced0bffd0f634"><div class="ttname"><a href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a></div><div class="ttdeci">int8_t solve_lu_decomp(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m  n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00124">solve.c:124</a></div></div>
<div class="ttc" id="apseudo__inverse_8h_html"><div class="ttname"><a href="pseudo__inverse_8h.html">pseudo_inverse.h</a></div><div class="ttdoc">Compute the pseudo-inverse of a matrix.</div></div>
<div class="ttc" id="asolve_8h_html_ab6336aff7fbff116a6118b39a0d1e2cd"><div class="ttname"><a href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a></div><div class="ttdeci">int8_t solve_householder(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m  n) linear system Ax = b, using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00077">solve.c:77</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="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></div><div class="ttdeci">ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00030">pseudo_inverse.h:30</a></div></div>
<div class="ttc" id="asolve_8h_html_a829e66492dc3073c0f7a190cda9b7db1"><div class="ttname"><a href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a></div><div class="ttdeci">int8_t solve(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n], enum ALGORITHM algo)</div><div class="ttdoc">Solve an (m  n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00035">solve.c:35</a></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>
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