group__MatrixInv.html 13 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229
  1. <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
  2. <html xmlns="http://www.w3.org/1999/xhtml">
  3. <head>
  4. <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
  5. <meta http-equiv="X-UA-Compatible" content="IE=9"/>
  6. <title>Matrix Inverse</title>
  7. <title>CMSIS-DSP: Matrix Inverse</title>
  8. <link href="tabs.css" rel="stylesheet" type="text/css"/>
  9. <link href="cmsis.css" rel="stylesheet" type="text/css" />
  10. <script type="text/javascript" src="jquery.js"></script>
  11. <script type="text/javascript" src="dynsections.js"></script>
  12. <script type="text/javascript" src="printComponentTabs.js"></script>
  13. <link href="navtree.css" rel="stylesheet" type="text/css"/>
  14. <script type="text/javascript" src="resize.js"></script>
  15. <script type="text/javascript" src="navtree.js"></script>
  16. <script type="text/javascript">
  17. $(document).ready(initResizable);
  18. $(window).load(resizeHeight);
  19. </script>
  20. <link href="search/search.css" rel="stylesheet" type="text/css"/>
  21. <script type="text/javascript" src="search/search.js"></script>
  22. <script type="text/javascript">
  23. $(document).ready(function() { searchBox.OnSelectItem(0); });
  24. </script>
  25. </head>
  26. <body>
  27. <div id="top"><!-- do not remove this div, it is closed by doxygen! -->
  28. <div id="titlearea">
  29. <table cellspacing="0" cellpadding="0">
  30. <tbody>
  31. <tr style="height: 46px;">
  32. <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
  33. <td style="padding-left: 0.5em;">
  34. <div id="projectname">CMSIS-DSP
  35. &#160;<span id="projectnumber">Version 1.8.0</span>
  36. </div>
  37. <div id="projectbrief">CMSIS DSP Software Library</div>
  38. </td>
  39. </tr>
  40. </tbody>
  41. </table>
  42. </div>
  43. <!-- end header part -->
  44. <div id="CMSISnav" class="tabs1">
  45. <ul class="tablist">
  46. <script type="text/javascript">
  47. <!--
  48. writeComponentTabs.call(this);
  49. //-->
  50. </script>
  51. </ul>
  52. </div>
  53. <!-- Generated by Doxygen 1.8.6 -->
  54. <script type="text/javascript">
  55. var searchBox = new SearchBox("searchBox", "search",false,'Search');
  56. </script>
  57. <div id="navrow1" class="tabs">
  58. <ul class="tablist">
  59. <li><a href="index.html"><span>Main&#160;Page</span></a></li>
  60. <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
  61. <li><a href="modules.html"><span>Reference</span></a></li>
  62. <li>
  63. <div id="MSearchBox" class="MSearchBoxInactive">
  64. <span class="left">
  65. <img id="MSearchSelect" src="search/mag_sel.png"
  66. onmouseover="return searchBox.OnSearchSelectShow()"
  67. onmouseout="return searchBox.OnSearchSelectHide()"
  68. alt=""/>
  69. <input type="text" id="MSearchField" value="Search" accesskey="S"
  70. onfocus="searchBox.OnSearchFieldFocus(true)"
  71. onblur="searchBox.OnSearchFieldFocus(false)"
  72. onkeyup="searchBox.OnSearchFieldChange(event)"/>
  73. </span><span class="right">
  74. <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
  75. </span>
  76. </div>
  77. </li>
  78. </ul>
  79. </div>
  80. </div><!-- top -->
  81. <div id="side-nav" class="ui-resizable side-nav-resizable">
  82. <div id="nav-tree">
  83. <div id="nav-tree-contents">
  84. <div id="nav-sync" class="sync"></div>
  85. </div>
  86. </div>
  87. <div id="splitbar" style="-moz-user-select:none;"
  88. class="ui-resizable-handle">
  89. </div>
  90. </div>
  91. <script type="text/javascript">
  92. $(document).ready(function(){initNavTree('group__MatrixInv.html','');});
  93. </script>
  94. <div id="doc-content">
  95. <!-- window showing the filter options -->
  96. <div id="MSearchSelectWindow"
  97. onmouseover="return searchBox.OnSearchSelectShow()"
  98. onmouseout="return searchBox.OnSearchSelectHide()"
  99. onkeydown="return searchBox.OnSearchSelectKey(event)">
  100. <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>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(11)"><span class="SelectionMark">&#160;</span>Pages</a></div>
  101. <!-- iframe showing the search results (closed by default) -->
  102. <div id="MSearchResultsWindow">
  103. <iframe src="javascript:void(0)" frameborder="0"
  104. name="MSearchResults" id="MSearchResults">
  105. </iframe>
  106. </div>
  107. <div class="header">
  108. <div class="summary">
  109. <a href="#func-members">Functions</a> </div>
  110. <div class="headertitle">
  111. <div class="title">Matrix Inverse<div class="ingroups"><a class="el" href="group__groupMatrix.html">Matrix Functions</a></div></div> </div>
  112. </div><!--header-->
  113. <div class="contents">
  114. <table class="memberdecls">
  115. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  116. Functions</h2></td></tr>
  117. <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>
  118. <tr class="memdesc:ga542be7aabbf7a2297a4b62cf212910e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix inverse. <a href="#ga542be7aabbf7a2297a4b62cf212910e3">More...</a><br/></td></tr>
  119. <tr class="separator:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
  120. <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>
  121. <tr class="memdesc:gaede2367c02df083cc915ddd5d8fae838"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point (64 bit) matrix inverse. <a href="#gaede2367c02df083cc915ddd5d8fae838">More...</a><br/></td></tr>
  122. <tr class="separator:gaede2367c02df083cc915ddd5d8fae838"><td class="memSeparator" colspan="2">&#160;</td></tr>
  123. </table>
  124. <a name="details" id="details"></a><h2 class="groupheader">Description</h2>
  125. <p>Computes the inverse of a matrix.</p>
  126. <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>
  127. <p>Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix inversion of floating-point matrices.</p>
  128. <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">
  129. <img src="MatrixInverse.gif" alt="MatrixInverse.gif"/>
  130. <div class="caption">
  131. Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method</div></div>
  132. </dd></dl>
  133. <h2 class="groupheader">Function Documentation</h2>
  134. <a class="anchor" id="ga542be7aabbf7a2297a4b62cf212910e3"></a>
  135. <div class="memitem">
  136. <div class="memproto">
  137. <table class="memname">
  138. <tr>
  139. <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f32 </td>
  140. <td>(</td>
  141. <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
  142. <td class="paramname"><em>pSrc</em>, </td>
  143. </tr>
  144. <tr>
  145. <td class="paramkey"></td>
  146. <td></td>
  147. <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
  148. <td class="paramname"><em>pDst</em>&#160;</td>
  149. </tr>
  150. <tr>
  151. <td></td>
  152. <td>)</td>
  153. <td></td><td></td>
  154. </tr>
  155. </table>
  156. </div><div class="memdoc">
  157. <dl class="params"><dt>Parameters</dt><dd>
  158. <table class="params">
  159. <tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to input matrix structure. The source matrix is modified by the function. </td></tr>
  160. <tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
  161. </table>
  162. </dd>
  163. </dl>
  164. <dl class="section return"><dt>Returns</dt><dd>execution status<ul>
  165. <li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
  166. <li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
  167. <li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
  168. </ul>
  169. </dd></dl>
  170. </div>
  171. </div>
  172. <a class="anchor" id="gaede2367c02df083cc915ddd5d8fae838"></a>
  173. <div class="memitem">
  174. <div class="memproto">
  175. <table class="memname">
  176. <tr>
  177. <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f64 </td>
  178. <td>(</td>
  179. <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *&#160;</td>
  180. <td class="paramname"><em>pSrc</em>, </td>
  181. </tr>
  182. <tr>
  183. <td class="paramkey"></td>
  184. <td></td>
  185. <td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *&#160;</td>
  186. <td class="paramname"><em>pDst</em>&#160;</td>
  187. </tr>
  188. <tr>
  189. <td></td>
  190. <td>)</td>
  191. <td></td><td></td>
  192. </tr>
  193. </table>
  194. </div><div class="memdoc">
  195. <p>Floating-point matrix inverse.</p>
  196. <dl class="params"><dt>Parameters</dt><dd>
  197. <table class="params">
  198. <tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to input matrix structure. The source matrix is modified by the function. </td></tr>
  199. <tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
  200. </table>
  201. </dd>
  202. </dl>
  203. <dl class="section return"><dt>Returns</dt><dd>execution status<ul>
  204. <li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
  205. <li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
  206. <li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
  207. </ul>
  208. </dd></dl>
  209. </div>
  210. </div>
  211. </div><!-- contents -->
  212. </div><!-- doc-content -->
  213. <!-- start footer part -->
  214. <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  215. <ul>
  216. <li class="footer">Generated on Thu Apr 9 2020 15:49:23 for CMSIS-DSP Version 1.8.0 by Arm Ltd. All rights reserved.
  217. <!--
  218. <a href="http://www.doxygen.org/index.html">
  219. <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.6
  220. -->
  221. </li>
  222. </ul>
  223. </div>
  224. </body>
  225. </html>