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<a href="#func-members">Functions</a> </div>
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<div class="headertitle"><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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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga7eb900deee2301c0693f79d7b8f0d5f8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#ga7eb900deee2301c0693f79d7b8f0d5f8">arm_mat_inverse_f16</a> (const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *pSrc, <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *pDst)</td></tr>
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<tr class="memdesc:ga7eb900deee2301c0693f79d7b8f0d5f8"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point matrix inverse. <a href="group__MatrixInv.html#ga7eb900deee2301c0693f79d7b8f0d5f8">More...</a><br /></td></tr>
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<tr class="separator:ga7eb900deee2301c0693f79d7b8f0d5f8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_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>
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<tr class="memdesc:ga542be7aabbf7a2297a4b62cf212910e3"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point matrix inverse. <a href="group__MatrixInv.html#ga542be7aabbf7a2297a4b62cf212910e3">More...</a><br /></td></tr>
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<tr class="separator:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaede2367c02df083cc915ddd5d8fae838"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_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>
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<tr class="memdesc:gaede2367c02df083cc915ddd5d8fae838"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point (64 bit) matrix inverse. <a href="group__MatrixInv.html#gaede2367c02df083cc915ddd5d8fae838">More...</a><br /></td></tr>
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<tr class="separator:gaede2367c02df083cc915ddd5d8fae838"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gada0a0dc278249b0e279691568c1c8b96"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#gada0a0dc278249b0e279691568c1c8b96">arm_mat_solve_lower_triangular_f16</a> (const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *lt, const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *a, <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *dst)</td></tr>
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<tr class="memdesc:gada0a0dc278249b0e279691568c1c8b96"><td class="mdescLeft"> </td><td class="mdescRight">Solve LT . X = A where LT is a lower triangular matrix. <a href="group__MatrixInv.html#gada0a0dc278249b0e279691568c1c8b96">More...</a><br /></td></tr>
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<tr class="separator:gada0a0dc278249b0e279691568c1c8b96"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga58fa7bf2d93ab84f19037822ede54606"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#ga58fa7bf2d93ab84f19037822ede54606">arm_mat_solve_lower_triangular_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *lt, const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *a, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *dst)</td></tr>
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<tr class="memdesc:ga58fa7bf2d93ab84f19037822ede54606"><td class="mdescLeft"> </td><td class="mdescRight">Solve LT . X = A where LT is a lower triangular matrix. <a href="group__MatrixInv.html#ga58fa7bf2d93ab84f19037822ede54606">More...</a><br /></td></tr>
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<tr class="separator:ga58fa7bf2d93ab84f19037822ede54606"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga62d2f013f5557e1c80a5201b2f8f5c8d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#ga62d2f013f5557e1c80a5201b2f8f5c8d">arm_mat_solve_lower_triangular_f64</a> (const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *lt, const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *a, <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *dst)</td></tr>
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<tr class="memdesc:ga62d2f013f5557e1c80a5201b2f8f5c8d"><td class="mdescLeft"> </td><td class="mdescRight">Solve LT . X = A where LT is a lower triangular matrix. <a href="group__MatrixInv.html#ga62d2f013f5557e1c80a5201b2f8f5c8d">More...</a><br /></td></tr>
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<tr class="separator:ga62d2f013f5557e1c80a5201b2f8f5c8d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gab8f681205cd9c5fdd188a579a49fc9a4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#gab8f681205cd9c5fdd188a579a49fc9a4">arm_mat_solve_upper_triangular_f16</a> (const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *ut, const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *a, <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> *dst)</td></tr>
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<tr class="memdesc:gab8f681205cd9c5fdd188a579a49fc9a4"><td class="mdescLeft"> </td><td class="mdescRight">Solve UT . X = A where UT is an upper triangular matrix. <a href="group__MatrixInv.html#gab8f681205cd9c5fdd188a579a49fc9a4">More...</a><br /></td></tr>
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<tr class="separator:gab8f681205cd9c5fdd188a579a49fc9a4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gadc17a01342ba23538bc7927c732d1284"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#gadc17a01342ba23538bc7927c732d1284">arm_mat_solve_upper_triangular_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *ut, const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *a, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *dst)</td></tr>
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<tr class="memdesc:gadc17a01342ba23538bc7927c732d1284"><td class="mdescLeft"> </td><td class="mdescRight">Solve UT . X = A where UT is an upper triangular matrix. <a href="group__MatrixInv.html#gadc17a01342ba23538bc7927c732d1284">More...</a><br /></td></tr>
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<tr class="separator:gadc17a01342ba23538bc7927c732d1284"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga7601bbff0c47c2e282857b39459fe369"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixInv.html#ga7601bbff0c47c2e282857b39459fe369">arm_mat_solve_upper_triangular_f64</a> (const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *ut, const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *a, <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *dst)</td></tr>
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<tr class="memdesc:ga7601bbff0c47c2e282857b39459fe369"><td class="mdescLeft"> </td><td class="mdescRight">Solve UT . X = A where UT is an upper triangular matrix. <a href="group__MatrixInv.html#ga7601bbff0c47c2e282857b39459fe369">More...</a><br /></td></tr>
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<tr class="separator:ga7601bbff0c47c2e282857b39459fe369"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
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<p >Computes the inverse of a matrix.</p>
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<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>
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<p >Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix inversion of floating-point matrices.</p>
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<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>.</dd></dl>
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<dl class="section user"><dt>Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method </dt><dd></dd></dl>
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<p class="formulaDsp">
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\[ \begin{pmatrix} a_{1,1} & a_{1,2} & a_{1,3} & | & 1 & 0 & 0\\ a_{2,1} & a_{2,2} & a_{2,3} & | & 0 & 1 & 0\\ a_{3,1} & a_{3,2} & a_{3,3} & | & 0 & 0 & 1\\ \end{pmatrix} \rightarrow \begin{pmatrix} 1 & 0 & 0 & | & x_{1,1} & x_{2,1} & x_{3,1} \\ 0 & 1 & 0 & | & x_{1,2} & x_{2,2} & x_{3,2} \\ 0 & 0 & 1 & | & x_{1,3} & x_{2,3} & x_{3,3} \\ \end{pmatrix} \]
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</p>
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<h2 class="groupheader">Function Documentation</h2>
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<a id="ga7eb900deee2301c0693f79d7b8f0d5f8" name="ga7eb900deee2301c0693f79d7b8f0d5f8"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga7eb900deee2301c0693f79d7b8f0d5f8">◆ </a></span>arm_mat_inverse_f16()</h2>
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<div class="memitem">
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<div class="memproto">
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f16 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>pSrc</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>pDst</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<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>
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<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
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</dd></dl>
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<a id="ga542be7aabbf7a2297a4b62cf212910e3" name="ga542be7aabbf7a2297a4b62cf212910e3"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga542be7aabbf7a2297a4b62cf212910e3">◆ </a></span>arm_mat_inverse_f32()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f32 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>pSrc</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>pDst</em> </td>
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<td></td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<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>
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<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
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</dd></dl>
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<a id="gaede2367c02df083cc915ddd5d8fae838" name="gaede2367c02df083cc915ddd5d8fae838"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#gaede2367c02df083cc915ddd5d8fae838">◆ </a></span>arm_mat_inverse_f64()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f64 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>pSrc</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>pDst</em> </td>
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<td></td>
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<td>)</td>
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<p >Floating-point matrix inverse.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<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>
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<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a> : Matrix size check failed</li>
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<li><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a> : Input matrix is found to be singular (non-invertible) </li>
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</ul>
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</dd></dl>
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</div>
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<a id="gada0a0dc278249b0e279691568c1c8b96" name="gada0a0dc278249b0e279691568c1c8b96"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#gada0a0dc278249b0e279691568c1c8b96">◆ </a></span>arm_mat_solve_lower_triangular_f16()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_solve_lower_triangular_f16 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>lt</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>dst</em> </td>
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<td></td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">lt</td><td>The lower triangular matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The matrix a </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">dst</td><td>The solution X of LT . X = A </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SINGULAR, if the system can't be solved. </dd></dl>
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</div>
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<a id="ga58fa7bf2d93ab84f19037822ede54606" name="ga58fa7bf2d93ab84f19037822ede54606"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga58fa7bf2d93ab84f19037822ede54606">◆ </a></span>arm_mat_solve_lower_triangular_f32()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_solve_lower_triangular_f32 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>lt</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>dst</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">lt</td><td>The lower triangular matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The matrix a </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">dst</td><td>The solution X of LT . X = A </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SINGULAR, if the system can't be solved. </dd></dl>
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</div>
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</div>
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<a id="ga62d2f013f5557e1c80a5201b2f8f5c8d" name="ga62d2f013f5557e1c80a5201b2f8f5c8d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga62d2f013f5557e1c80a5201b2f8f5c8d">◆ </a></span>arm_mat_solve_lower_triangular_f64()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_solve_lower_triangular_f64 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>lt</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>dst</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</table>
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</div><div class="memdoc">
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">lt</td><td>The lower triangular matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The matrix a </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">dst</td><td>The solution X of LT . X = A </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SINGULAR, if the system can't be solved. </dd></dl>
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</div>
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<a id="gab8f681205cd9c5fdd188a579a49fc9a4" name="gab8f681205cd9c5fdd188a579a49fc9a4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#gab8f681205cd9c5fdd188a579a49fc9a4">◆ </a></span>arm_mat_solve_upper_triangular_f16()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_solve_upper_triangular_f16 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>ut</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f16.html">arm_matrix_instance_f16</a> * </td>
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<td class="paramname"><em>dst</em> </td>
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<td></td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">ut</td><td>The upper triangular matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The matrix a </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">dst</td><td>The solution X of UT . X = A </td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SINGULAR, if the system can't be solved. </dd></dl>
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<a id="gadc17a01342ba23538bc7927c732d1284" name="gadc17a01342ba23538bc7927c732d1284"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#gadc17a01342ba23538bc7927c732d1284">◆ </a></span>arm_mat_solve_upper_triangular_f32()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_solve_upper_triangular_f32 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>ut</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td></td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> * </td>
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<td class="paramname"><em>dst</em> </td>
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<td></td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">ut</td><td>The upper triangular matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The matrix a </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">dst</td><td>The solution X of UT . X = A </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SINGULAR, if the system can't be solved. </dd></dl>
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<a id="ga7601bbff0c47c2e282857b39459fe369" name="ga7601bbff0c47c2e282857b39459fe369"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ga7601bbff0c47c2e282857b39459fe369">◆ </a></span>arm_mat_solve_upper_triangular_f64()</h2>
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<td class="memname"><a class="el" href="arm__math__types_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_solve_upper_triangular_f64 </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>ut</em>, </td>
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<td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> * </td>
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<td class="paramname"><em>dst</em> </td>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">ut</td><td>The upper triangular matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The matrix a </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">dst</td><td>The solution X of UT . X = A </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SINGULAR, if the system can't be solved. </dd></dl>
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