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<div id="projectname">Eigenvalue problems
&#160;<span id="projectnumber">0.2</span>
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<div id="projectbrief">The final aim of our program is to implement numerical methods for the calculation of the eigenvalues and eigenvectors of a matrix.</div>
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<div class="title">Matrix.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;</div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;</div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="preprocessor">#ifndef EIGENVALUE_MATRIX_H</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="preprocessor">#define EIGENVALUE_MATRIX_H</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;</div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;</div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="keyword">using namespace </span><a class="code" href="namespacestd.html">std</a>;</div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;</div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;</div><div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="class_matrix.html"> 18</a></span>&#160;<span class="keyword">class </span><a class="code" href="class_matrix.html">Matrix</a> {</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordtype">int</span> size;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="keywordtype">double</span>** matrix;</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordtype">double</span> shift_amount;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <a class="code" href="class_matrix.html">Matrix</a> (<span class="keywordtype">string</span> filename);</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; ~<a class="code" href="class_matrix.html">Matrix</a>();</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keywordtype">void</span> printMatrix(<span class="keywordtype">double</span>** matrix, <span class="keywordtype">int</span> size);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keywordtype">double</span> powerMethod(<span class="keywordtype">double</span>** m, <span class="keywordtype">int</span> size, <span class="keywordtype">double</span> tol, <span class="keywordtype">double</span> shift_amount);</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordtype">double</span> inversePowerMethod(<span class="keywordtype">double</span>** matrix, <span class="keywordtype">int</span> size, <span class="keywordtype">double</span> tol, <span class="keywordtype">double</span> shift_amount);</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordtype">double</span> get_shift_amount();</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordtype">double</span>** get_matrix();</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordtype">int</span> get_size();</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordtype">int</span> LUPDecompose(<span class="keywordtype">double</span> **A, <span class="keywordtype">int</span> N, <span class="keywordtype">double</span> Tol, <span class="keywordtype">int</span> *P);</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keywordtype">void</span> LUPSolve(<span class="keywordtype">double</span> **A, <span class="keywordtype">int</span> *P, <span class="keywordtype">double</span> *b, <span class="keywordtype">int</span> N, <span class="keywordtype">double</span> *x);</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keywordtype">double</span>** shift(<span class="keywordtype">double</span>** A, <span class="keywordtype">int</span> size, <span class="keywordtype">double</span> shift);</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordtype">int</span> test(<span class="keywordtype">int</span> i);</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordtype">double</span> l2_norm(<span class="keywordtype">double</span> *u, <span class="keywordtype">int</span> size);</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keywordtype">double</span> linf_norm(<span class="keywordtype">double</span> *u, <span class="keywordtype">int</span> size);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;};</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;<span class="preprocessor">#endif //EIGENVALUE_MATRIX_H</span></div><div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div></div>
<div class="ttc" id="class_matrix_html"><div class="ttname"><a href="class_matrix.html">Matrix</a></div><div class="ttdoc">The Matrix class. </div><div class="ttdef"><b>Definition:</b> Matrix.h:18</div></div>
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