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<div class="header">
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<a href="#func-members">Functions</a>  </div>
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<div class="title">svd.sql_in File Reference</div>  </div>
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<p>Singular Value Decomposition.  
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a8dbab74f5bde863a63431a6ec6f66a61"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#a8dbab74f5bde863a63431a6ec6f66a61">svd</a> (text source_table, text output_table_prefix, text row_id, integer k, integer n_iterations, text result_summary_table)</td></tr>
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<tr class="separator:a20f535608417d4ff73b6e029b785ddef"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e0f90441d3a2335aef8cc1403577bb9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#a8e0f90441d3a2335aef8cc1403577bb9">svd_sparse_native</a> (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k)</td></tr>
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<tr class="memitem:a7638f4ea701362e5c318b5272c0e98b9"><td class="memItemLeft" align="right" valign="top">float8 []&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#a7638f4ea701362e5c318b5272c0e98b9">__svd_unit_vector</a> (int dim)</td></tr>
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<tr class="memitem:ae86146392b1b5065fc6badc0f25b3f3e"><td class="memItemLeft" align="right" valign="top">__svd_lanczos_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#ae86146392b1b5065fc6badc0f25b3f3e">__svd_lanczos_pvec</a> (float8[] vector, float8[] pvec, float8 beta)</td></tr>
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<tr class="memitem:a9a6498e5a9a9d78b46f89401df776ed8"><td class="memItemLeft" align="right" valign="top">set&lt; __svd_vec_mat_mult_result &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#a9a6498e5a9a9d78b46f89401df776ed8">__svd_vec_trans_mult_matrix_internal</a> (float8[] vector, float8[][] matrix, int4 col_id, int4 k)</td></tr>
<tr class="separator:a9a6498e5a9a9d78b46f89401df776ed8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab18d5d90ce54e9e80c06b843a4bd8ba5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#ab18d5d90ce54e9e80c06b843a4bd8ba5">__svd_vec_trans_mult_matrix</a> (text vec_table, text mat_table, int4 k, boolean is_left, text res_table)</td></tr>
<tr class="separator:ab18d5d90ce54e9e80c06b843a4bd8ba5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad020de39296f7e8e121ba2a173700fa6"><td class="memItemLeft" align="right" valign="top">text&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#ad020de39296f7e8e121ba2a173700fa6">svd</a> (text input_message)</td></tr>
<tr class="separator:ad020de39296f7e8e121ba2a173700fa6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a33268c776f0e4f86f7cefc52290b552a"><td class="memItemLeft" align="right" valign="top">text&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8sql__in.html#a33268c776f0e4f86f7cefc52290b552a">svd</a> ()</td></tr>
<tr class="separator:a33268c776f0e4f86f7cefc52290b552a"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section see"><dt>See also</dt><dd>For a brief introduction to singular value decomposition, see the module description <a class="el" href="group__grp__svd.html">Singular Value Decomposition</a>. </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="acd10d4d0a196e1ed062f5e38288555df"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acd10d4d0a196e1ed062f5e38288555df">&#9670;&nbsp;</a></span>__svd_block_lanczos_agg()</h2>

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          <td class="memname">aggregate float8 [] __svd_block_lanczos_agg </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname">, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname">, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<a id="a6bc4dbb608e1042746c10b9fa180ec13"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6bc4dbb608e1042746c10b9fa180ec13">&#9670;&nbsp;</a></span>__svd_block_lanczos_sfunc()</h2>

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          <td class="memname">float8 [] __svd_block_lanczos_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>block</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>dimension</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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</div>
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<a id="a53034f4da049595a4c0ea03e67c727fb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a53034f4da049595a4c0ea03e67c727fb">&#9670;&nbsp;</a></span>__svd_decompose_bidiag()</h2>

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          <td class="memname">__svd_bidiagonal_matrix_result __svd_decompose_bidiag </td>
          <td>(</td>
          <td class="paramtype">int []&#160;</td>
          <td class="paramname"><em>row_ids</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int []&#160;</td>
          <td class="paramname"><em>col_ids</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vals</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<a id="abb9c16df6000f260e101bb8dd5c7aa0e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abb9c16df6000f260e101bb8dd5c7aa0e">&#9670;&nbsp;</a></span>__svd_gram_schmidt_orthogonalize_agg()</h2>

<div class="memitem">
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          <td class="memname">aggregate float8 [] __svd_gram_schmidt_orthogonalize_agg </td>
          <td>(</td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[]&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<h2 class="memtitle"><span class="permalink"><a href="#af006d422c49a2de762cbf7ebfe588484">&#9670;&nbsp;</a></span>__svd_gram_schmidt_orthogonalize_ffunc()</h2>

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          <td class="memname">__svd_lanczos_result __svd_gram_schmidt_orthogonalize_ffunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em></td><td>)</td>
          <td></td>
        </tr>
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<a id="ae8f2006de42ea486eccfb82b3623218c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae8f2006de42ea486eccfb82b3623218c">&#9670;&nbsp;</a></span>__svd_gram_schmidt_orthogonalize_prefunc()</h2>

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          <td class="memname">float8 [] __svd_gram_schmidt_orthogonalize_prefunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state2</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<a id="ab145d0ed41d32120b31adf8cf29691f6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab145d0ed41d32120b31adf8cf29691f6">&#9670;&nbsp;</a></span>__svd_gram_schmidt_orthogonalize_sfunc()</h2>

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          <td class="memname">float8 [] __svd_gram_schmidt_orthogonalize_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vec_unorthogonalized</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vec_orthogonalized</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="aa5e1fcbd1d65133acab96cc2085b56b3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa5e1fcbd1d65133acab96cc2085b56b3">&#9670;&nbsp;</a></span>__svd_lanczos_agg()</h2>

<div class="memitem">
<div class="memproto">
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        <tr>
          <td class="memname">aggregate float8 [] __svd_lanczos_agg </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<a id="a4bd839e9214cec1dfcdcfb3ca9755df1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4bd839e9214cec1dfcdcfb3ca9755df1">&#9670;&nbsp;</a></span>__svd_lanczos_bidiagonalize()</h2>

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          <td class="memname">void __svd_lanczos_bidiagonalize </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>n_iterations</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>is_block</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a48b5b42e70a402926e39c59cd16e539e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a48b5b42e70a402926e39c59cd16e539e">&#9670;&nbsp;</a></span>__svd_lanczos_bidiagonalize_sparse()</h2>

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          <td class="memname">void __svd_lanczos_bidiagonalize_sparse </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>n_iterations</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<a id="ae7b94da849ee17b7743fc18588c629f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae7b94da849ee17b7743fc18588c629f5">&#9670;&nbsp;</a></span>__svd_lanczos_prefunc()</h2>

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          <td class="memname">float8 [] __svd_lanczos_prefunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state2</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="ae86146392b1b5065fc6badc0f25b3f3e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae86146392b1b5065fc6badc0f25b3f3e">&#9670;&nbsp;</a></span>__svd_lanczos_pvec()</h2>

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          <td class="memname">__svd_lanczos_result __svd_lanczos_pvec </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>pvec</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>beta</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a6b85b00dae1c49821be7d3e68ccf266b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6b85b00dae1c49821be7d3e68ccf266b">&#9670;&nbsp;</a></span>__svd_lanczos_qvec()</h2>

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          <td class="memname">float8 [] __svd_lanczos_qvec </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>qvec</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>alpha</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<a id="a63ae741e70fbfba1082241c75d6cdd51"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a63ae741e70fbfba1082241c75d6cdd51">&#9670;&nbsp;</a></span>__svd_lanczos_sfunc()</h2>

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          <td class="memname">float8 [] __svd_lanczos_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>row_array</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>dimension</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<a id="a1ba5e18c0f8db1190ef75a9d209a1f0f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1ba5e18c0f8db1190ef75a9d209a1f0f">&#9670;&nbsp;</a></span>__svd_sparse_lanczos_agg()</h2>

<div class="memitem">
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          <td class="memname">aggregate float8 [] __svd_sparse_lanczos_agg </td>
          <td>(</td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname">[], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname">&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a6f1c90152f497ef91526cc9200bad00a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6f1c90152f497ef91526cc9200bad00a">&#9670;&nbsp;</a></span>__svd_sparse_lanczos_sfunc()</h2>

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          <td class="memname">float8 [] __svd_sparse_lanczos_sfunc </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>state</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>val</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
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<a id="a7638f4ea701362e5c318b5272c0e98b9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7638f4ea701362e5c318b5272c0e98b9">&#9670;&nbsp;</a></span>__svd_unit_vector()</h2>

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          <td class="memname">float8 [] __svd_unit_vector </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>dim</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a95e025c969e4a93696b49bad69f993d5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a95e025c969e4a93696b49bad69f993d5">&#9670;&nbsp;</a></span>__svd_vec_mult_matrix()</h2>

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          <td class="memname">float8 [] __svd_vec_mult_matrix </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>matrix</em>[][], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Multiplication of a row vector with an in-memory matrix vector: 1 x l matrix: l x l k: Sub-matrix of the size l x k </p>

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<a id="ab18d5d90ce54e9e80c06b843a4bd8ba5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab18d5d90ce54e9e80c06b843a4bd8ba5">&#9670;&nbsp;</a></span>__svd_vec_trans_mult_matrix()</h2>

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          <td class="memname">void __svd_vec_trans_mult_matrix </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>vec_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>mat_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">boolean&#160;</td>
          <td class="paramname"><em>is_left</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>res_table</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
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<a id="a9a6498e5a9a9d78b46f89401df776ed8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9a6498e5a9a9d78b46f89401df776ed8">&#9670;&nbsp;</a></span>__svd_vec_trans_mult_matrix_internal()</h2>

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          <td class="memname">set&lt;__svd_vec_mat_mult_result&gt; __svd_vec_trans_mult_matrix_internal </td>
          <td>(</td>
          <td class="paramtype">float8 []&#160;</td>
          <td class="paramname"><em>vector</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">float8&#160;</td>
          <td class="paramname"><em>matrix</em>[][], </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int4&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
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</div><div class="memdoc">

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<a id="a8dbab74f5bde863a63431a6ec6f66a61"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8dbab74f5bde863a63431a6ec6f66a61">&#9670;&nbsp;</a></span>svd() <span class="overload">[1/5]</span></h2>

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          <td class="memname">void svd </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>result_summary_table</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<a id="a3222ad5181b1b7dde8e89ae00c663177"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3222ad5181b1b7dde8e89ae00c663177">&#9670;&nbsp;</a></span>svd() <span class="overload">[2/5]</span></h2>

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          <td class="memname">void svd </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a9deeee6cc15d9f9713f0c93665923622"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9deeee6cc15d9f9713f0c93665923622">&#9670;&nbsp;</a></span>svd() <span class="overload">[3/5]</span></h2>

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          <td class="memname">void svd </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<a id="ad020de39296f7e8e121ba2a173700fa6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad020de39296f7e8e121ba2a173700fa6">&#9670;&nbsp;</a></span>svd() <span class="overload">[4/5]</span></h2>

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          <td class="memname">text svd </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>input_message</em></td><td>)</td>
          <td></td>
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<a id="a33268c776f0e4f86f7cefc52290b552a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a33268c776f0e4f86f7cefc52290b552a">&#9670;&nbsp;</a></span>svd() <span class="overload">[5/5]</span></h2>

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          <td class="memname">text svd </td>
          <td>(</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a96fb5620eed9c936b5bbfe24d7e37ad6">&#9670;&nbsp;</a></span>svd_block() <span class="overload">[1/3]</span></h2>

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          <td class="memname">void svd_block </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>result_summary_table</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a2927cf2c1a1addd00f838718e8b1fea1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2927cf2c1a1addd00f838718e8b1fea1">&#9670;&nbsp;</a></span>svd_block() <span class="overload">[2/3]</span></h2>

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          <td class="memname">void svd_block </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a2ed4bfd5bba7b959deaccb3471e624ed"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2ed4bfd5bba7b959deaccb3471e624ed">&#9670;&nbsp;</a></span>svd_block() <span class="overload">[3/3]</span></h2>

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        <tr>
          <td class="memname">void svd_block </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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<a id="a511f83e3eba19f6f41f8e3f7122ddb3a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a511f83e3eba19f6f41f8e3f7122ddb3a">&#9670;&nbsp;</a></span>svd_sparse() <span class="overload">[1/3]</span></h2>

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          <td class="memname">void svd_sparse </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>result_summary_table</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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</div>
<a id="aaad7f45ad283fcffa5b5d9938432a038"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaad7f45ad283fcffa5b5d9938432a038">&#9670;&nbsp;</a></span>svd_sparse() <span class="overload">[2/3]</span></h2>

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<div class="memproto">
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        <tr>
          <td class="memname">void svd_sparse </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

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</div>
<a id="a20f535608417d4ff73b6e029b785ddef"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a20f535608417d4ff73b6e029b785ddef">&#9670;&nbsp;</a></span>svd_sparse() <span class="overload">[3/3]</span></h2>

<div class="memitem">
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      <table class="memname">
        <tr>
          <td class="memname">void svd_sparse </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0225b28fd4b71cf6e7072c034f3296c6">&#9670;&nbsp;</a></span>svd_sparse_native() <span class="overload">[1/3]</span></h2>

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<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">void svd_sparse_native </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>result_summary_table</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<h2 class="memtitle"><span class="permalink"><a href="#a8e0f90441d3a2335aef8cc1403577bb9">&#9670;&nbsp;</a></span>svd_sparse_native() <span class="overload">[2/3]</span></h2>

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          <td class="memname">void svd_sparse_native </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad3a3a3d97f9d7bc96578be4aa6b54d1c">&#9670;&nbsp;</a></span>svd_sparse_native() <span class="overload">[3/3]</span></h2>

<div class="memitem">
<div class="memproto">
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          <td class="memname">void svd_sparse_native </td>
          <td>(</td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>source_table</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>output_table_prefix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>row_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>col_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">text&#160;</td>
          <td class="paramname"><em>val_id</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>row_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>col_dim</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>k</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer&#160;</td>
          <td class="paramname"><em>n_iterations</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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