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61<h1>Inverse Matrix<br>
62<small>
63[<a class="el" href="group__algebra.html">Linear Algebra</a>]</small>
64</h1><table border="0" cellpadding="0" cellspacing="0">
65<tr><td></td></tr>
66<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
67<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inverse.html#ge03240c214e525e2fea72b8e2c36bfdf">itpp::inv</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &amp;X, <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &amp;Y)</td></tr>
68
69<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse of real square matrix.<p>
70Calculate the inverse of the real matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.  <a href="#ge03240c214e525e2fea72b8e2c36bfdf"></a><br></td></tr>
71<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inverse.html#g125b083397cc9450b8a67a485b545bc8">itpp::inv</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &amp;X)</td></tr>
72
73<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse of real square matrix.<p>
74Calculate the inverse of the real matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.  <a href="#g125b083397cc9450b8a67a485b545bc8"></a><br></td></tr>
75<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inverse.html#gd363b8a1994ba9243c016538f4dbc6ea">itpp::inv</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &amp;X, <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &amp;Y)</td></tr>
76
77<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse of complex square matrix.<p>
78Calculate the inverse of the complex matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.  <a href="#gd363b8a1994ba9243c016538f4dbc6ea"></a><br></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inverse.html#g78f6e7d44b92ef319518224e4ce187b8">itpp::inv</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &amp;X)</td></tr>
80
81<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse of real square matrix.<p>
82Calculate the inverse of the complex matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.  <a href="#g78f6e7d44b92ef319518224e4ce187b8"></a><br></td></tr>
83</table>
84<hr><h2>Function Documentation</h2>
85<a class="anchor" name="g78f6e7d44b92ef319518224e4ce187b8"></a><!-- doxytag: member="itpp::inv" ref="g78f6e7d44b92ef319518224e4ce187b8" args="(const cmat &amp;X)" -->
86<div class="memitem">
87<div class="memproto">
88      <table class="memname">
89        <tr>
90          <td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::inv           </td>
91          <td>(</td>
92          <td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &amp;&nbsp;</td>
93          <td class="paramname"> <em>X</em>          </td>
94          <td>&nbsp;)&nbsp;</td>
95          <td></td>
96        </tr>
97      </table>
98</div>
99<div class="memdoc">
100
101<p>
102Inverse of real square matrix.<p>
103Calculate the inverse of the complex matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.
104<p>
105Solves the equation system <img class="formulaInl" alt="$ \mathbf{Y} \mathbf{X} = \mathbf{I}$" src="form_136.png"> using LU-factorization. IT++ needs to be compiled with the LAPACK for the inverse to be available.
106<p>References <a class="el" href="inv_8cpp-source.html#l00109">itpp::inv()</a>.</p>
107
108</div>
109</div><p>
110<a class="anchor" name="gd363b8a1994ba9243c016538f4dbc6ea"></a><!-- doxytag: member="itpp::inv" ref="gd363b8a1994ba9243c016538f4dbc6ea" args="(const cmat &amp;X, cmat &amp;Y)" -->
111<div class="memitem">
112<div class="memproto">
113      <table class="memname">
114        <tr>
115          <td class="memname">bool itpp::inv           </td>
116          <td>(</td>
117          <td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &amp;&nbsp;</td>
118          <td class="paramname"> <em>X</em>, </td>
119        </tr>
120        <tr>
121          <td class="paramkey"></td>
122          <td></td>
123          <td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &amp;&nbsp;</td>
124          <td class="paramname"> <em>Y</em></td><td>&nbsp;</td>
125        </tr>
126        <tr>
127          <td></td>
128          <td>)</td>
129          <td></td><td></td><td></td>
130        </tr>
131      </table>
132</div>
133<div class="memdoc">
134
135<p>
136Inverse of complex square matrix.<p>
137Calculate the inverse of the complex matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.
138<p>
139Solves the equation system <img class="formulaInl" alt="$ \mathbf{Y} \mathbf{X} = \mathbf{I}$" src="form_136.png"> using LU-factorization. IT++ needs to be compiled with LAPACK support for the inverse to be available.
140<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
141
142</div>
143</div><p>
144<a class="anchor" name="g125b083397cc9450b8a67a485b545bc8"></a><!-- doxytag: member="itpp::inv" ref="g125b083397cc9450b8a67a485b545bc8" args="(const mat &amp;X)" -->
145<div class="memitem">
146<div class="memproto">
147      <table class="memname">
148        <tr>
149          <td class="memname"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> itpp::inv           </td>
150          <td>(</td>
151          <td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &amp;&nbsp;</td>
152          <td class="paramname"> <em>X</em>          </td>
153          <td>&nbsp;)&nbsp;</td>
154          <td></td>
155        </tr>
156      </table>
157</div>
158<div class="memdoc">
159
160<p>
161Inverse of real square matrix.<p>
162Calculate the inverse of the real matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.
163<p>
164Solves the equation system <img class="formulaInl" alt="$ \mathbf{Y} \mathbf{X} = \mathbf{I}$" src="form_136.png"> using LU-factorization. IT++ needs to be compiled with LAPACK support for the inverse to be available.
165<p>Referenced by <a class="el" href="emix_8cpp-source.html#l00114">bdm::egiwmix::approx()</a>, <a class="el" href="libKF_8cpp-source.html#l00199">bdm::EKFCh::bayes()</a>, <a class="el" href="libKF_8cpp-source.html#l00130">bdm::KalmanCh::bayes()</a>, <a class="el" href="libKF_8cpp-source.html#l00087">bdm::EKFfull::bayes()</a>, <a class="el" href="libKF_8cpp-source.html#l00033">bdm::KalmanFull::bayes()</a>, <a class="el" href="ekf__obj_8cpp-source.html#l00010">EKFfixed::bayes()</a>, <a class="el" href="libEF_8h-source.html#l01102">bdm::enorm&lt; sq_T &gt;::condition()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00370">itpp::Modulator_NCD::demodulate_soft_bits()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00150">itpp::Modulator_NRD::demodulate_soft_bits()</a>, <a class="el" href="libEF_8cpp-source.html#l00082">bdm::egiw::est_theta_cov()</a>, <a class="el" href="inv_8cpp-source.html#l00101">itpp::inv()</a>, <a class="el" href="chmat_8h-source.html#l00044">chmat::inv()</a>, <a class="el" href="libDC_8h-source.html#l00158">fsqmat::invqform()</a>, <a class="el" href="matfunc_8h-source.html#l00355">itpp::is_unitary()</a>, and <a class="el" href="mog__generic_8cpp-source.html#l00279">itpp::MOG_generic::setup_covs()</a>.</p>
166
167</div>
168</div><p>
169<a class="anchor" name="ge03240c214e525e2fea72b8e2c36bfdf"></a><!-- doxytag: member="itpp::inv" ref="ge03240c214e525e2fea72b8e2c36bfdf" args="(const mat &amp;X, mat &amp;Y)" -->
170<div class="memitem">
171<div class="memproto">
172      <table class="memname">
173        <tr>
174          <td class="memname">bool itpp::inv           </td>
175          <td>(</td>
176          <td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &amp;&nbsp;</td>
177          <td class="paramname"> <em>X</em>, </td>
178        </tr>
179        <tr>
180          <td class="paramkey"></td>
181          <td></td>
182          <td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &amp;&nbsp;</td>
183          <td class="paramname"> <em>Y</em></td><td>&nbsp;</td>
184        </tr>
185        <tr>
186          <td></td>
187          <td>)</td>
188          <td></td><td></td><td></td>
189        </tr>
190      </table>
191</div>
192<div class="memdoc">
193
194<p>
195Inverse of real square matrix.<p>
196Calculate the inverse of the real matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png">.
197<p>
198Solves the equation system <img class="formulaInl" alt="$ \mathbf{Y} \mathbf{X} = \mathbf{I}$" src="form_136.png"> using LU-factorization. IT++ needs to be compiled with the LAPACK for the inverse to be available.
199<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
200
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