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<p><a href="https://en.wikipedia.org/wiki/Gaussian_elimination" target="_blank">Gaussian elimination method</a>
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<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for gaussian_elimination.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/de2/gaussian__elimination_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Gaussian_elimination" target="_blank">Gaussian elimination method</a> </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 9</span> {</div>
<div class="line"><span class="lineno"> 10</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>, i, j, step;</div>
<div class="line"><span class="lineno"> 11</span> </div>
<div class="line"><span class="lineno"> 12</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Matrix size: &quot;</span>;</div>
<div class="line"><span class="lineno"> 13</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>;</div>
<div class="line"><span class="lineno"> 14</span> </div>
<div class="line"><span class="lineno"> 15</span> <span class="comment">// create a 2D matrix by dynamic memory allocation</span></div>
<div class="line"><span class="lineno"> 16</span> <span class="keywordtype">double</span> **mat = <span class="keyword">new</span> <span class="keywordtype">double</span> *[<a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> + 1], **x = <span class="keyword">new</span> <span class="keywordtype">double</span> *[<a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>];</div>
<div class="line"><span class="lineno"> 17</span> <span class="keywordflow">for</span> (i = 0; i &lt;= <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><span class="lineno"> 18</span> mat[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[<a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> + 1];</div>
<div class="line"><span class="lineno"> 19</span> <span class="keywordflow">if</span> (i &lt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)</div>
<div class="line"><span class="lineno"> 20</span> x[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[<a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> + 1];</div>
<div class="line"><span class="lineno"> 21</span> }</div>
<div class="line"><span class="lineno"> 22</span> </div>
<div class="line"><span class="lineno"> 23</span> <span class="comment">// get the matrix elements from user</span></div>
<div class="line"><span class="lineno"> 24</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <span class="stringliteral">&quot;Enter value of the matrix: &quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 25</span> <span class="keywordflow">for</span> (i = 0; i &lt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">for</span> (j = 0; j &lt;= <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++) {</div>
<div class="line"><span class="lineno"> 27</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt;</div>
<div class="line"><span class="lineno"> 28</span> mat[i][j]; <span class="comment">// Enter (mat_size*mat_size) value of the matrix.</span></div>
<div class="line"><span class="lineno"> 29</span> }</div>
<div class="line"><span class="lineno"> 30</span> }</div>
<div class="line"><span class="lineno"> 31</span> </div>
<div class="line"><span class="lineno"> 32</span> <span class="comment">// perform Gaussian elimination</span></div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">for</span> (step = 0; step &lt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; step++) {</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">for</span> (i = step; i &lt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; i++) {</div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordtype">double</span> a = (mat[i + 1][step] / mat[step][step]);</div>
<div class="line"><span class="lineno"> 36</span> </div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">for</span> (j = step; j &lt;= <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++)</div>
<div class="line"><span class="lineno"> 38</span> mat[i + 1][j] = mat[i + 1][j] - (a * mat[step][j]);</div>
<div class="line"><span class="lineno"> 39</span> }</div>
<div class="line"><span class="lineno"> 40</span> }</div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
<div class="line"><span class="lineno"> 43</span> &lt;&lt; <span class="stringliteral">&quot;Matrix using Gaussian Elimination method: &quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">for</span> (i = 0; i &lt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">for</span> (j = 0; j &lt;= <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++) {</div>
<div class="line"><span class="lineno"> 46</span> x[i][j] = mat[i][j];</div>
<div class="line"><span class="lineno"> 47</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; mat[i][j] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 50</span> }</div>
<div class="line"><span class="lineno"> 51</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
<div class="line"><span class="lineno"> 52</span> &lt;&lt; <span class="stringliteral">&quot;Value of the Gaussian Elimination method: &quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">for</span> (i = <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; i &gt;= 0; i--) {</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = 0;</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">for</span> (j = <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; j &gt; i; j--) {</div>
<div class="line"><span class="lineno"> 56</span> x[i][j] = x[j][j] * x[i][j];</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = x[i][j] + <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>;</div>
<div class="line"><span class="lineno"> 58</span> }</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">if</span> (x[i][i] == 0)</div>
<div class="line"><span class="lineno"> 60</span> x[i][i] = 0;</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 62</span> x[i][i] = (x[i][<a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>] - <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>) / (x[i][i]);</div>
<div class="line"><span class="lineno"> 63</span> </div>
<div class="line"><span class="lineno"> 64</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;x&quot;</span> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;= &quot;</span> &lt;&lt; x[i][i] &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 65</span> }</div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">for</span> (i = 0; i &lt;= <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><span class="lineno"> 68</span> <span class="keyword">delete</span>[] mat[i];</div>
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">if</span> (i &lt; <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)</div>
<div class="line"><span class="lineno"> 70</span> <span class="keyword">delete</span>[] x[i];</div>
<div class="line"><span class="lineno"> 71</span> }</div>
<div class="line"><span class="lineno"> 72</span> <span class="keyword">delete</span>[] mat;</div>
<div class="line"><span class="lineno"> 73</span> <span class="keyword">delete</span>[] x;</div>
<div class="line"><span class="lineno"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 76</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<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="amatrix__exponentiation_8cpp_html_a9977ad12548c4a49dee9dc3f0685aa54"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a></div><div class="ttdeci">ll mat_size</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:45</div></div>
<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector&lt; std::valarray&lt; T &gt; &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:232</div></div>
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