| <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> |
| <html xmlns="http://www.w3.org/1999/xhtml"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> |
| <title>MADlib: conjugate_gradient.sql_in Source File</title> |
| |
| <link href="tabs.css" rel="stylesheet" type="text/css"/> |
| <link href="doxygen.css" rel="stylesheet" type="text/css" /> |
| <link href="navtree.css" rel="stylesheet" type="text/css"/> |
| <script type="text/javascript" src="jquery.js"></script> |
| <script type="text/javascript" src="resize.js"></script> |
| <script type="text/javascript" src="navtree.js"></script> |
| <script type="text/javascript"> |
| $(document).ready(initResizable); |
| </script> |
| <link href="search/search.css" rel="stylesheet" type="text/css"/> |
| <script type="text/javascript" src="search/search.js"></script> |
| <script type="text/javascript"> |
| $(document).ready(function() { searchBox.OnSelectItem(0); }); |
| </script> |
| <script src="../mathjax/MathJax.js"> |
| MathJax.Hub.Config({ |
| extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"], |
| jax: ["input/TeX","output/HTML-CSS"], |
| }); |
| </script> |
| </head> |
| <body> |
| <div id="top"><!-- do not remove this div! --> |
| |
| |
| <div id="titlearea"> |
| <table cellspacing="0" cellpadding="0"> |
| <tbody> |
| <tr style="height: 56px;"> |
| |
| |
| <td style="padding-left: 0.5em;"> |
| <div id="projectname">MADlib |
|  <span id="projectnumber">0.6</span> <span style="font-size:10pt; font-style:italic"><a href="../latest/./conjugate__gradient_8sql__in_source.html"> A newer version is available</a></span> |
| </div> |
| <div id="projectbrief">User Documentation</div> |
| </td> |
| |
| |
| |
| </tr> |
| </tbody> |
| </table> |
| </div> |
| |
| <!-- Generated by Doxygen 1.7.5.1 --> |
| <script type="text/javascript"> |
| var searchBox = new SearchBox("searchBox", "search",false,'Search'); |
| </script> |
| <script type="text/javascript" src="dynsections.js"></script> |
| <div id="navrow1" class="tabs"> |
| <ul class="tablist"> |
| <li><a href="index.html"><span>Main Page</span></a></li> |
| <li><a href="modules.html"><span>Modules</span></a></li> |
| <li class="current"><a href="files.html"><span>Files</span></a></li> |
| <li> |
| <div id="MSearchBox" class="MSearchBoxInactive"> |
| <span class="left"> |
| <img id="MSearchSelect" src="search/mag_sel.png" |
| onmouseover="return searchBox.OnSearchSelectShow()" |
| onmouseout="return searchBox.OnSearchSelectHide()" |
| alt=""/> |
| <input type="text" id="MSearchField" value="Search" accesskey="S" |
| onfocus="searchBox.OnSearchFieldFocus(true)" |
| onblur="searchBox.OnSearchFieldFocus(false)" |
| onkeyup="searchBox.OnSearchFieldChange(event)"/> |
| </span><span class="right"> |
| <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a> |
| </span> |
| </div> |
| </li> |
| </ul> |
| </div> |
| <div id="navrow2" class="tabs2"> |
| <ul class="tablist"> |
| <li><a href="files.html"><span>File List</span></a></li> |
| <li><a href="globals.html"><span>File Members</span></a></li> |
| </ul> |
| </div> |
| </div> |
| <div id="side-nav" class="ui-resizable side-nav-resizable"> |
| <div id="nav-tree"> |
| <div id="nav-tree-contents"> |
| </div> |
| </div> |
| <div id="splitbar" style="-moz-user-select:none;" |
| class="ui-resizable-handle"> |
| </div> |
| </div> |
| <script type="text/javascript"> |
| initNavTree('conjugate__gradient_8sql__in.html',''); |
| </script> |
| <div id="doc-content"> |
| <div class="header"> |
| <div class="headertitle"> |
| <div class="title">conjugate_gradient.sql_in</div> </div> |
| </div> |
| <div class="contents"> |
| <a href="conjugate__gradient_8sql__in.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/* ----------------------------------------------------------------------- */</span><span class="comment">/** </span> |
| <a name="l00002"></a>00002 <span class="comment"> *</span> |
| <a name="l00003"></a>00003 <span class="comment"> * @file conjugate_gradient.sql_in</span> |
| <a name="l00004"></a>00004 <span class="comment"> *</span> |
| <a name="l00005"></a>00005 <span class="comment"> * @brief SQL function computing Conjugate Gradient</span> |
| <a name="l00006"></a>00006 <span class="comment"> * @date March 2011</span> |
| <a name="l00007"></a>00007 <span class="comment"> *</span> |
| <a name="l00008"></a>00008 <span class="comment"> *</span> |
| <a name="l00009"></a>00009 <span class="comment"> */</span><span class="comment">/* ----------------------------------------------------------------------- */</span> |
| <a name="l00010"></a>00010 <span class="comment"></span> |
| <a name="l00011"></a>00011 <span class="comment">/**</span> |
| <a name="l00012"></a>00012 <span class="comment">@addtogroup grp_cg</span> |
| <a name="l00013"></a>00013 <span class="comment"></span> |
| <a name="l00014"></a>00014 <span class="comment">@about</span> |
| <a name="l00015"></a>00015 <span class="comment">This function uses the iterative conjugate gradient method [1] to find a solution to the function: \f[ \boldsymbol Ax = \boldsymbol b \f]</span> |
| <a name="l00016"></a>00016 <span class="comment">where \f$ \boldsymbol A \f$ is a symmetric, positive definite matrix and \f$x\f$ and \f$ \boldsymbol b \f$ are vectors. </span> |
| <a name="l00017"></a>00017 <span class="comment"></span> |
| <a name="l00018"></a>00018 <span class="comment">@input</span> |
| <a name="l00019"></a>00019 <span class="comment">Matrix \f$ \boldsymbol A \f$ is assumed to be stored in a table where each row consists of at least two columns: array containing values of a given row, row number:</span> |
| <a name="l00020"></a>00020 <span class="comment"><pre>{TABLE|VIEW} <em>matrix_A</em> (</span> |
| <a name="l00021"></a>00021 <span class="comment"> <em>row_number</em> FLOAT,</span> |
| <a name="l00022"></a>00022 <span class="comment"> <em>row_values</em> FLOAT[],</span> |
| <a name="l00023"></a>00023 <span class="comment">)</pre></span> |
| <a name="l00024"></a>00024 <span class="comment">The number of elements in each row should be the same.</span> |
| <a name="l00025"></a>00025 <span class="comment"></span> |
| <a name="l00026"></a>00026 <span class="comment">\f$ \boldsymbol b \f$ is passed as a FLOAT[] to the function.</span> |
| <a name="l00027"></a>00027 <span class="comment"></span> |
| <a name="l00028"></a>00028 <span class="comment">@usage</span> |
| <a name="l00029"></a>00029 <span class="comment">Conjugate gradient can be called as follows:</span> |
| <a name="l00030"></a>00030 <span class="comment"><pre>SELECT \ref conjugate_gradient('<em>table_name</em>', </span> |
| <a name="l00031"></a>00031 <span class="comment"> '<em>name_of_row_values_col</em>', '<em>name_of_row_number_col</em>', '<em>aray_of_b_values</em>', </span> |
| <a name="l00032"></a>00032 <span class="comment"> '<em>desired_precision</em>');</pre></span> |
| <a name="l00033"></a>00033 <span class="comment">Function returns x as an array. </span> |
| <a name="l00034"></a>00034 <span class="comment"> </span> |
| <a name="l00035"></a>00035 <span class="comment">@examp</span> |
| <a name="l00036"></a>00036 <span class="comment">-# Construct matrix A according to structure:</span> |
| <a name="l00037"></a>00037 <span class="comment">\code</span> |
| <a name="l00038"></a>00038 <span class="comment">sql> SELECT * FROM data;</span> |
| <a name="l00039"></a>00039 <span class="comment"> row_num | row_val </span> |
| <a name="l00040"></a>00040 <span class="comment">---------+---------</span> |
| <a name="l00041"></a>00041 <span class="comment"> 1 | {2,1}</span> |
| <a name="l00042"></a>00042 <span class="comment"> 2 | {1,4}</span> |
| <a name="l00043"></a>00043 <span class="comment">(2 rows)</span> |
| <a name="l00044"></a>00044 <span class="comment">\endcode</span> |
| <a name="l00045"></a>00045 <span class="comment">-# Call conjugate gradient function:</span> |
| <a name="l00046"></a>00046 <span class="comment">\code</span> |
| <a name="l00047"></a>00047 <span class="comment">sql> SELECT conjugate_gradient('data','row_val','row_num','{2,1}',1E-6,1);</span> |
| <a name="l00048"></a>00048 <span class="comment">INFO: COMPUTE RESIDUAL ERROR 14.5655661859659</span> |
| <a name="l00049"></a>00049 <span class="comment">INFO: ERROR 0.144934004246004</span> |
| <a name="l00050"></a>00050 <span class="comment">INFO: ERROR 3.12963615962926e-31</span> |
| <a name="l00051"></a>00051 <span class="comment">INFO: TEST FINAL ERROR 2.90029642185163e-29</span> |
| <a name="l00052"></a>00052 <span class="comment"> conjugate_gradient </span> |
| <a name="l00053"></a>00053 <span class="comment">---------------------------</span> |
| <a name="l00054"></a>00054 <span class="comment"> {1,-1.31838984174237e-15}</span> |
| <a name="l00055"></a>00055 <span class="comment">(1 row)</span> |
| <a name="l00056"></a>00056 <span class="comment">\endcode</span> |
| <a name="l00057"></a>00057 <span class="comment"></span> |
| <a name="l00058"></a>00058 <span class="comment">@literature</span> |
| <a name="l00059"></a>00059 <span class="comment">[1] "Conjugate gradient method" Wikipedia - http://en.wikipedia.org/wiki/Conjugate_gradient_method</span> |
| <a name="l00060"></a>00060 <span class="comment"></span> |
| <a name="l00061"></a>00061 <span class="comment">@sa File conjugate_gradient.sql_in documenting the SQL function.</span> |
| <a name="l00062"></a>00062 <span class="comment">*/</span> |
| <a name="l00063"></a>00063 <span class="comment"></span> |
| <a name="l00064"></a>00064 <span class="comment">/**</span> |
| <a name="l00065"></a>00065 <span class="comment"> * @brief Compute conjugate gradient</span> |
| <a name="l00066"></a>00066 <span class="comment"> * </span> |
| <a name="l00067"></a>00067 <span class="comment"> * @param matrix Name of the table containing argument matrix A</span> |
| <a name="l00068"></a>00068 <span class="comment"> * @param val_id Name of the column contains row values</span> |
| <a name="l00069"></a>00069 <span class="comment"> * @param row_id Name of the column contains row number</span> |
| <a name="l00070"></a>00070 <span class="comment"> * @param b Array containing values of b</span> |
| <a name="l00071"></a>00071 <span class="comment"> * @param precision_limit Precision threshold after which process will terminate</span> |
| <a name="l00072"></a>00072 <span class="comment"> * @param verbosity Verbose flag (0 = false, 1 = true)</span> |
| <a name="l00073"></a>00073 <span class="comment"> * @returns Array containing values of x</span> |
| <a name="l00074"></a>00074 <span class="comment"> *</span> |
| <a name="l00075"></a>00075 <span class="comment"> */</span> |
| <a name="l00076"></a><a class="code" href="conjugate__gradient_8sql__in.html#ab94e8a12cc9c2d0dac35168721ec8585">00076</a> CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.conjugate_gradient(Matrix TEXT, val_id TEXT, row_id TEXT, b FLOAT[], precision_limit FLOAT, verbosity INT) RETURNS FLOAT[] AS $$ |
| <a name="l00077"></a>00077 declare |
| <a name="l00078"></a>00078 r FLOAT[]; |
| <a name="l00079"></a>00079 p FLOAT[]; |
| <a name="l00080"></a>00080 x FLOAT[]; |
| <a name="l00081"></a>00081 k INT; |
| <a name="l00082"></a>00082 iter INT = 0; |
| <a name="l00083"></a>00083 recidual_refresh INT := 30; |
| <a name="l00084"></a>00084 alpha FLOAT; |
| <a name="l00085"></a>00085 r_size FLOAT; |
| <a name="l00086"></a>00086 r_new_size FLOAT; |
| <a name="l00087"></a>00087 Ap FLOAT[]; |
| <a name="l00088"></a>00088 Ax FLOAT[]; |
| <a name="l00089"></a>00089 pAp_size FLOAT; |
| <a name="l00090"></a>00090 beta FLOAT; |
| <a name="l00091"></a>00091 exit_if_no_progess_in INT := 15; |
| <a name="l00092"></a>00092 begin |
| <a name="l00093"></a>00093 DROP TABLE IF EXISTS X_val; |
| <a name="l00094"></a>00094 CREATE TEMP TABLE X_val( |
| <a name="l00095"></a>00095 value FLOAT[] |
| <a name="l00096"></a>00096 ); |
| <a name="l00097"></a>00097 |
| <a name="l00098"></a>00098 DROP TABLE IF EXISTS P_val; |
| <a name="l00099"></a>00099 CREATE TEMP TABLE P_val( |
| <a name="l00100"></a>00100 value FLOAT[] |
| <a name="l00101"></a>00101 ); |
| <a name="l00102"></a>00102 |
| <a name="l00103"></a>00103 SELECT INTO k array_upper(b,1); |
| <a name="l00104"></a>00104 --INSERT INTO X_val SELECT ARRAY(SELECT random() FROM generate_series(1, k)); |
| <a name="l00105"></a>00105 EXECUTE <span class="stringliteral">'INSERT INTO X_val SELECT ARRAY(SELECT random() FROM generate_series(1,'</span> ||k|| <span class="stringliteral">'))'</span>; |
| <a name="l00106"></a>00106 LOOP |
| <a name="l00107"></a>00107 IF(iter%recidual_refresh = 0)THEN |
| <a name="l00108"></a>00108 EXECUTE 'SELECT ARRAY(SELECT MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>('||val_id||', j.x) FROM (SELECT value AS x FROM X_val) AS j, '|| Matrix ||' ORDER BY '||row_id||' LIMIT '|| k ||')' INTO Ax; |
| <a name="l00109"></a>00109 SELECT INTO r MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#a2875a161a01c7dcdea9a4997b074eefc" title="Subtracts two arrays. It requires that all the values are NON-NULL. Return type is the same as the in...">array_sub</a>(b, Ax); |
| <a name="l00110"></a>00110 SELECT INTO r_size MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>(r, r); |
| <a name="l00111"></a>00111 IF(verbosity > 0) THEN |
| <a name="l00112"></a>00112 RAISE INFO 'COMPUTE RESIDUAL ERROR %', r_size; |
| <a name="l00113"></a>00113 END IF; |
| <a name="l00114"></a>00114 SELECT INTO p r; |
| <a name="l00115"></a>00115 END IF; |
| <a name="l00116"></a>00116 iter = iter + 1; |
| <a name="l00117"></a>00117 TRUNCATE TABLE P_val; |
| <a name="l00118"></a>00118 --INSERT INTO P_val VALUES(p); |
| <a name="l00119"></a>00119 EXECUTE 'INSERT INTO P_val(value) VALUES(array['|| array_to_string(p,',') ||'])'; |
| <a name="l00120"></a>00120 EXECUTE 'SELECT ARRAY(SELECT MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>('||val_id||', j.p) FROM (SELECT value AS p FROM P_val) AS j,'|| Matrix ||' ORDER BY '||row_id||' LIMIT '|| k ||')' INTO Ap; |
| <a name="l00121"></a>00121 SELECT INTO pAp_size MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>(p, Ap); |
| <a name="l00122"></a>00122 alpha = r_size/pAp_size; |
| <a name="l00123"></a>00123 |
| <a name="l00124"></a>00124 --SELECT INTO x MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#a91c8d3715142927b3967f05a4fbf1575" title="Adds two arrays. It requires that all the values are NON-NULL. Return type is the same as the input t...">array_add</a>(value, MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#ae6881cc5c86941b6ffca35d7f3cd5c12" title="This function takes an array as the input and executes element with multiplication by the scalar prov...">array_scalar_mult</a>(p,alpha)) FROM X_val; |
| <a name="l00125"></a>00125 EXECUTE 'SELECT MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#a91c8d3715142927b3967f05a4fbf1575" title="Adds two arrays. It requires that all the values are NON-NULL. Return type is the same as the input t...">array_add</a>(value, MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#ae6881cc5c86941b6ffca35d7f3cd5c12" title="This function takes an array as the input and executes element with multiplication by the scalar prov...">array_scalar_mult</a>(array['|| array_to_string(p,',') ||']::<span class="keywordtype">float</span>[],'||alpha||'::<span class="keywordtype">float</span>)) FROM X_val' INTO x; |
| <a name="l00126"></a>00126 TRUNCATE TABLE X_val; |
| <a name="l00127"></a>00127 --INSERT INTO X_val VALUES(x); |
| <a name="l00128"></a>00128 EXECUTE 'INSERT INTO X_val VALUES(array['|| array_to_string(x,',') ||'])'; |
| <a name="l00129"></a>00129 |
| <a name="l00130"></a>00130 SELECT INTO r MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#a91c8d3715142927b3967f05a4fbf1575" title="Adds two arrays. It requires that all the values are NON-NULL. Return type is the same as the input t...">array_add</a>(r,MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#ae6881cc5c86941b6ffca35d7f3cd5c12" title="This function takes an array as the input and executes element with multiplication by the scalar prov...">array_scalar_mult</a>(Ap, -alpha)); |
| <a name="l00131"></a>00131 SELECT INTO r_new_size MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>(r,r); |
| <a name="l00132"></a>00132 |
| <a name="l00133"></a>00133 IF(verbosity > 0) THEN |
| <a name="l00134"></a>00134 RAISE INFO 'ERROR %',r_new_size; |
| <a name="l00135"></a>00135 END IF; |
| <a name="l00136"></a>00136 IF (r_new_size < precision_limit) THEN |
| <a name="l00137"></a>00137 EXECUTE 'SELECT ARRAY(SELECT MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>('||val_id||', j.x) FROM (SELECT value AS x FROM X_val) AS j, '|| Matrix ||' ORDER BY '||row_id||' LIMIT '|| k ||')' INTO Ax; |
| <a name="l00138"></a>00138 SELECT INTO r MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#a2875a161a01c7dcdea9a4997b074eefc" title="Subtracts two arrays. It requires that all the values are NON-NULL. Return type is the same as the in...">array_sub</a>(b, Ax); |
| <a name="l00139"></a>00139 SELECT INTO r_new_size MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0" title="Dot-product of two arrays. It requires that all the values are NON-NULL. Return type is the same as t...">array_dot</a>(r, r); |
| <a name="l00140"></a>00140 IF(verbosity > 0) THEN |
| <a name="l00141"></a>00141 RAISE INFO 'TEST FINAL ERROR %', r_new_size; |
| <a name="l00142"></a>00142 END IF; |
| <a name="l00143"></a>00143 IF (r_new_size < precision_limit) THEN |
| <a name="l00144"></a>00144 EXIT; |
| <a name="l00145"></a>00145 END IF; |
| <a name="l00146"></a>00146 END IF; |
| <a name="l00147"></a>00147 SELECT INTO p MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#a91c8d3715142927b3967f05a4fbf1575" title="Adds two arrays. It requires that all the values are NON-NULL. Return type is the same as the input t...">array_add</a>(r, MADLIB_SCHEMA.<a class="code" href="array__ops_8sql__in.html#ae6881cc5c86941b6ffca35d7f3cd5c12" title="This function takes an array as the input and executes element with multiplication by the scalar prov...">array_scalar_mult</a>(p, r_new_size/r_size)); |
| <a name="l00148"></a>00148 IF(r_size < r_new_size) THEN |
| <a name="l00149"></a>00149 exit_if_no_progess_in = exit_if_no_progess_in-1; |
| <a name="l00150"></a>00150 RAISE INFO 'No progress! count = %',exit_if_no_progess_in; |
| <a name="l00151"></a>00151 |
| <a name="l00152"></a>00152 IF(exit_if_no_progess_in <= 0) THEN |
| <a name="l00153"></a>00153 RAISE EXCEPTION 'Algorithm failed to converge. Check is input is positive definate.'; |
| <a name="l00154"></a>00154 END IF; |
| <a name="l00155"></a>00155 ELSE |
| <a name="l00156"></a>00156 exit_if_no_progess_in = 15; |
| <a name="l00157"></a>00157 END IF; |
| <a name="l00158"></a>00158 r_size = r_new_size; |
| <a name="l00159"></a>00159 END LOOP; |
| <a name="l00160"></a>00160 IF(verbosity > 1) THEN |
| <a name="l00161"></a>00161 RETURN ARRAY[r_new_size]; |
| <a name="l00162"></a>00162 END IF; |
| <a name="l00163"></a>00163 --SELECT INTO x value FROM X_val; |
| <a name="l00164"></a>00164 EXECUTE 'SELECT value FROM X_val' INTO x; |
| <a name="l00165"></a>00165 RETURN x; |
| <a name="l00166"></a>00166 end |
| <a name="l00167"></a>00167 $$ LANGUAGE plpgsql; |
| <a name="l00168"></a>00168 |
| <a name="l00169"></a>00169 CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.<a class="code" href="conjugate__gradient_8sql__in.html#ab94e8a12cc9c2d0dac35168721ec8585" title="Compute conjugate gradient.">conjugate_gradient</a>(Matrix TEXT, val_id TEXT, row_id TEXT, b FLOAT[], precision_limit FLOAT) RETURNS FLOAT[] AS $$ |
| <a name="l00170"></a>00170 declare |
| <a name="l00171"></a>00171 begin |
| <a name="l00172"></a>00172 RETURN MADLIB_SCHEMA.<a class="code" href="conjugate__gradient_8sql__in.html#ab94e8a12cc9c2d0dac35168721ec8585" title="Compute conjugate gradient.">conjugate_gradient</a>(Matrix, val_id, row_id, b, precision_limit,0); |
| <a name="l00173"></a>00173 end |
| <a name="l00174"></a>00174 $$ LANGUAGE plpgsql; |
| </pre></div></div> |
| </div> |
| <div id="nav-path" class="navpath"> |
| <ul> |
| <li class="navelem"><a class="el" href="conjugate__gradient_8sql__in.html">conjugate_gradient.sql_in</a> </li> |
| <!-- window showing the filter options --> |
| <div id="MSearchSelectWindow" |
| onmouseover="return searchBox.OnSearchSelectShow()" |
| onmouseout="return searchBox.OnSearchSelectHide()" |
| onkeydown="return searchBox.OnSearchSelectKey(event)"> |
| <a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Functions</a></div> |
| |
| <!-- iframe showing the search results (closed by default) --> |
| <div id="MSearchResultsWindow"> |
| <iframe src="javascript:void(0)" frameborder="0" |
| name="MSearchResults" id="MSearchResults"> |
| </iframe> |
| </div> |
| |
| |
| <li class="footer">Generated on Tue Apr 2 2013 14:57:03 for MADlib by |
| <a href="http://www.doxygen.org/index.html"> |
| <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.5.1 </li> |
| </ul> |
| </div> |
| |
| |
| </body> |
| </html> |
