Official ARM version: v5.4.0

Add CMSIS V5.4.0, please refer to index.html available under \docs folder. Note: content of \CMSIS\Core\Include has been copied under \Include to keep the same structure used in existing projects, and thus avoid projects mass update Note: the following components have been removed from ARM original delivery (as not used in ST packages) - CMSIS_EW2018.pdf - .gitattributes - .gitignore - \Device - \CMSIS - \CoreValidation - \DAP - \Documentation - \DoxyGen - \Driver - \Pack - \RTOS\CMSIS_RTOS_Tutorial.pdf - \RTOS\RTX - \RTOS\Template - \RTOS2\RTX - \Utilities - All ARM/GCC projects files are deleted from \DSP, \RTOS and \RTOS2 Change-Id: Ia026c3f0f0d016627a4fb5a9032852c33d24b4d3
author: Ali Labbene <ali.labbene@st.com> 2019-12-11 08:59:21 +0100
committer: Ali Labbene <ali.labbene@st.com> 2019-12-16 16:35:24 +0100
commit: 9f95ff5b6ba01db09552b84a0ab79607060a2666 (patch)
tree: 8a6e0dda832555c692307869aed49d07ee7facfe /docs/DSP/html/group__MatrixInv.html
parent: 76177aa280494bb36d7a0bcbda1078d4db717020 (diff)
download: st-cmsis-core-lowfat-9f95ff5b6ba01db09552b84a0ab79607060a2666.tar.gz
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+<title>Matrix Inverse</title>
+<title>CMSIS-DSP: Matrix Inverse</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.5.2</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group__MatrixInv.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Inverse<div class="ingroups"><a class="el" href="group__groupMatrix.html">Matrix Functions</a></div></div>  </div>
+</div><!--header-->
+<div class="contents">
+<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>&#160;</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">&#160;</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">&#160;</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>&#160;</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">&#160;</td><td class="mdescRight">Floating-point matrix inverse.  <a href="#gaede2367c02df083cc915ddd5d8fae838">More...</a><br/></td></tr>
+<tr class="separator:gaede2367c02df083cc915ddd5d8fae838"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<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">
+        <tr>
+          <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> *&#160;</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> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</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>The function returns <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<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> *&#160;</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> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</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>The function returns <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f64.html#ab0f0399aff3201880e2d8a447de9a7ee">arm_matrix_instance_f64::numCols</a>, <a class="el" href="structarm__matrix__instance__f64.html#a8b44d1e5003345047c4ead9e1593bf22">arm_matrix_instance_f64::numRows</a>, <a class="el" href="structarm__matrix__instance__f64.html#a5b2475f8ff1e4818955cdd18bc40a097">arm_matrix_instance_f64::pData</a>, and <a class="el" href="arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
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author	Ali Labbene <ali.labbene@st.com>	2019-12-11 08:59:21 +0100
committer	Ali Labbene <ali.labbene@st.com>	2019-12-16 16:35:24 +0100
commit	9f95ff5b6ba01db09552b84a0ab79607060a2666 (patch)
tree	8a6e0dda832555c692307869aed49d07ee7facfe /docs/DSP/html/group__MatrixInv.html
parent	76177aa280494bb36d7a0bcbda1078d4db717020 (diff)
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