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<p><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a>
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
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Include dependency graph for gaussian_elimination.cpp:</div>
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Functions</h2></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </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>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a> </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<div class="memitem">
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<tr>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  {</div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  <span class="keywordtype">int</span> mat_size, i, j, step;</div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  </div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Matrix size: "</span>;</div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> mat_size;</div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  </div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <span class="comment">// create a 2D matrix by dynamic memory allocation</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="keywordtype">double</span> **mat = <span class="keyword">new</span> <span class="keywordtype">double</span> *[mat_size + 1], **x = <span class="keyword">new</span> <span class="keywordtype">double</span> *[mat_size];</div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <span class="keywordflow">for</span> (i = 0; i <= mat_size; i++) {</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  mat[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[mat_size + 1];</div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="keywordflow">if</span> (i < mat_size)</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  x[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[mat_size + 1];</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  }</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="comment">// get the matrix elements from user</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> << <span class="stringliteral">"Enter value of the matrix: "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">for</span> (i = 0; i < mat_size; i++) {</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordflow">for</span> (j = 0; j <= mat_size; j++) {</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  mat[i][j]; <span class="comment">// Enter (mat_size*mat_size) value of the matrix.</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  }</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  }</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">// perform Gaussian elimination</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">for</span> (step = 0; step < mat_size - 1; step++) {</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">for</span> (i = step; i < mat_size - 1; i++) {</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordtype">double</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = (mat[i + 1][step] / mat[step][step]);</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">for</span> (j = step; j <= mat_size; j++)</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  mat[i + 1][j] = mat[i + 1][j] - (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> * mat[step][j]);</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  }</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  }</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  << <span class="stringliteral">"Matrix using Gaussian Elimination method: "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">for</span> (i = 0; i < mat_size; i++) {</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">for</span> (j = 0; j <= mat_size; j++) {</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  x[i][j] = mat[i][j];</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << mat[i][j] << <span class="stringliteral">" "</span>;</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  }</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  << <span class="stringliteral">"Value of the Gaussian Elimination method: "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">for</span> (i = mat_size - 1; i >= 0; i--) {</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordtype">double</span> sum = 0;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (j = mat_size - 1; j > i; j--) {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  x[i][j] = x[j][j] * x[i][j];</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  sum = x[i][j] + sum;</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">if</span> (x[i][i] == 0)</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  x[i][i] = 0;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  x[i][i] = (x[i][mat_size] - sum) / (x[i][i]);</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"x"</span> << i << <span class="stringliteral">"= "</span> << x[i][i] << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">for</span> (i = 0; i <= mat_size; i++) {</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">delete</span>[] mat[i];</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span> (i < mat_size)</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">delete</span>[] x[i];</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">delete</span>[] mat;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">delete</span>[] x;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</div>
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<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector< ll > a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</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>
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