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<a href="#func-members">Functions</a> </div>
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<div class="title">Matrix Inverse<div class="ingroups"><a class="el" href="group__groupMatrix.html">Matrix Functions</a></div></div> </div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrc, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
<tr class="memdesc:ga542be7aabbf7a2297a4b62cf212910e3"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point matrix inverse. <a href="#ga542be7aabbf7a2297a4b62cf212910e3">More...</a><br/></td></tr>
<tr class="separator:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaede2367c02df083cc915ddd5d8fae838"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64</a> (const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *pSrc, <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *pDst)</td></tr>
<tr class="memdesc:gaede2367c02df083cc915ddd5d8fae838"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point (64 bit) matrix inverse. <a href="#gaede2367c02df083cc915ddd5d8fae838">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the inverse of a matrix.</p>
<p>The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero). The function checks that the input and output matrices are square and of the same size.</p>
<p>Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix inversion of floating-point matrices.</p>
<dl class="section user"><dt>Algorithm</dt><dd>The Gauss-Jordan method is used to find the inverse. The algorithm performs a sequence of elementary row-operations until it reduces the input matrix to an identity matrix. Applying the same sequence of elementary row-operations to an identity matrix yields the inverse matrix. If the input matrix is singular, then the algorithm terminates and returns error status <code>ARM_MATH_SINGULAR</code>. <div class="image">
<img src="MatrixInverse.gif" alt="MatrixInverse.gif"/>
<div class="caption">
Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method</div></div>
</dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga542be7aabbf7a2297a4b62cf212910e3"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
<td class="paramname"><em>pDst</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to input matrix structure </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
</ul>
</dd></dl>
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<a class="anchor" id="gaede2367c02df083cc915ddd5d8fae838"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f64 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
<td class="paramname"><em>pDst</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<p>Floating-point matrix inverse.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to input matrix structure </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
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