<!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"/> <meta http-equiv="X-UA-Compatible" content="IE=9"/> <meta name="generator" content="Doxygen 1.8.5"/> <title>Eigen-unsupported: BDCSVD< _MatrixType > Class Template Reference</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="jquery.js"></script> <script type="text/javascript" src="dynsections.js"></script> <link href="navtree.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="resize.js"></script> <script type="text/javascript" src="navtree.js"></script> <script type="text/javascript"> $(document).ready(initResizable); $(window).load(resizeHeight); </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> <link href="doxygen.css" rel="stylesheet" type="text/css" /> <link href="eigendoxy.css" rel="stylesheet" type="text/css"> <!-- --> <script type="text/javascript" src="eigen_navtree_hacks.js"></script> <!-- <script type="text/javascript"> --> <!-- </script> --> </head> <body> <div id="top"><!-- do not remove this div, it is closed by doxygen! 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">JacobiSVD</a> on this class. It should be used to speed up the calcul of SVD for big matrices. </td></tr> </table> </dd> </dl> </div><div id="dynsection-0" onclick="return toggleVisibility(this)" class="dynheader closed" style="cursor:pointer;"> <img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for BDCSVD< _MatrixType >:</div> <div id="dynsection-0-summary" class="dynsummary" style="display:block;"> </div> <div id="dynsection-0-content" class="dyncontent" style="display:none;"> <div class="center"><img src="classEigen_1_1BDCSVD__inherit__graph.png" border="0" usemap="#BDCSVD_3_01__MatrixType_01_4_inherit__map" alt="Inheritance graph"/></div> <map name="BDCSVD_3_01__MatrixType_01_4_inherit__map" id="BDCSVD_3_01__MatrixType_01_4_inherit__map"> <area shape="rect" id="node2" href="classEigen_1_1SVDBase.html" title="Mother class of SVD classes algorithms. " alt="" coords="5,5,189,435"/></map> </div> <table class="memberdecls"> <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a> Public Member Functions</h2></td></tr> <tr class="memitem:a15bb6fe0bfbcf6ac5bad8ddcafd34387"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1BDCSVD.html#a15bb6fe0bfbcf6ac5bad8ddcafd34387">BDCSVD</a> ()</td></tr> <tr class="memdesc:a15bb6fe0bfbcf6ac5bad8ddcafd34387"><td class="mdescLeft"> </td><td class="mdescRight">Default Constructor. <a href="#a15bb6fe0bfbcf6ac5bad8ddcafd34387">More...</a><br/></td></tr> <tr class="separator:a15bb6fe0bfbcf6ac5bad8ddcafd34387"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a0b1282c48b843773424d97e65ee21060"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1BDCSVD.html#a0b1282c48b843773424d97e65ee21060">BDCSVD</a> (Index rows, Index cols, unsigned int computationOptions=0)</td></tr> <tr class="memdesc:a0b1282c48b843773424d97e65ee21060"><td class="mdescLeft"> </td><td class="mdescRight">Default Constructor with memory preallocation. <a href="#a0b1282c48b843773424d97e65ee21060">More...</a><br/></td></tr> <tr class="separator:a0b1282c48b843773424d97e65ee21060"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a3c9182989cf14fd0111ad6c2bc0eb8b3"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1BDCSVD.html#a3c9182989cf14fd0111ad6c2bc0eb8b3">BDCSVD</a> (const MatrixType &matrix, unsigned int computationOptions=0)</td></tr> <tr class="memdesc:a3c9182989cf14fd0111ad6c2bc0eb8b3"><td class="mdescLeft"> </td><td class="mdescRight">Constructor performing the decomposition of given matrix. <a href="#a3c9182989cf14fd0111ad6c2bc0eb8b3">More...</a><br/></td></tr> <tr class="separator:a3c9182989cf14fd0111ad6c2bc0eb8b3"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a3b2bfdc0a8dd672390fb4ba22f4ef434"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SVDBase.html">SVDBase</a>< MatrixType > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1BDCSVD.html#a3b2bfdc0a8dd672390fb4ba22f4ef434">compute</a> (const MatrixType &matrix, unsigned int computationOptions)</td></tr> <tr class="memdesc:a3b2bfdc0a8dd672390fb4ba22f4ef434"><td class="mdescLeft"> </td><td class="mdescRight">Method performing the decomposition of given matrix using custom options. <a href="#a3b2bfdc0a8dd672390fb4ba22f4ef434">More...</a><br/></td></tr> <tr class="separator:a3b2bfdc0a8dd672390fb4ba22f4ef434"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a26e02670d0a94c92ab41c2bc7f70e781"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SVDBase.html">SVDBase</a>< MatrixType > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1BDCSVD.html#a26e02670d0a94c92ab41c2bc7f70e781">compute</a> (const MatrixType &matrix)</td></tr> <tr class="memdesc:a26e02670d0a94c92ab41c2bc7f70e781"><td class="mdescLeft"> </td><td class="mdescRight">Method performing the decomposition of given matrix using current options. <a href="#a26e02670d0a94c92ab41c2bc7f70e781">More...</a><br/></td></tr> <tr class="separator:a26e02670d0a94c92ab41c2bc7f70e781"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a1ffab6aab715fe0918a841611a95e9aa"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SVDBase.html#a1ffab6aab715fe0918a841611a95e9aa">computeU</a> () const </td></tr> <tr class="separator:a1ffab6aab715fe0918a841611a95e9aa"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a92e99646eefbeb071ef220841555a703"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SVDBase.html#a92e99646eefbeb071ef220841555a703">computeV</a> () const </td></tr> <tr class="separator:a92e99646eefbeb071ef220841555a703"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:aa468765ea9b7f0e92380fa206e6498bd"><td class="memItemLeft" align="right" valign="top">Index </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SVDBase.html#aa468765ea9b7f0e92380fa206e6498bd">nonzeroSingularValues</a> () const </td></tr> <tr class="separator:aa468765ea9b7f0e92380fa206e6498bd"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a48d4068b97dfbb83d62599e56e26797a"><td class="memItemLeft" align="right" valign="top">const SingularValuesType & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SVDBase.html#a48d4068b97dfbb83d62599e56e26797a">singularValues</a> () const </td></tr> <tr class="separator:a48d4068b97dfbb83d62599e56e26797a"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:ac872405f6364be4078b367ac4c6c0c01"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr> <tr class="memitem:ac872405f6364be4078b367ac4c6c0c01"><td class="memTemplItemLeft" align="right" valign="top">const internal::solve_retval<br class="typebreak"/> < <a class="el" href="classEigen_1_1BDCSVD.html">BDCSVD</a>, Rhs > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1BDCSVD.html#ac872405f6364be4078b367ac4c6c0c01">solve</a> (const MatrixBase< Rhs > &b) const </td></tr> <tr class="separator:ac872405f6364be4078b367ac4c6c0c01"><td class="memSeparator" colspan="2"> </td></tr> </table> <h2 class="groupheader">Constructor & Destructor Documentation</h2> <a class="anchor" id="a15bb6fe0bfbcf6ac5bad8ddcafd34387"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1BDCSVD.html">BDCSVD</a> </td> <td>(</td> <td class="paramname"></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Default Constructor. </p> <p>The default constructor is useful in cases in which the user intends to perform decompositions via <a class="el" href="classEigen_1_1BDCSVD.html#a26e02670d0a94c92ab41c2bc7f70e781" title="Method performing the decomposition of given matrix using current options. ">BDCSVD::compute(const MatrixType&)</a>. </p> </div> </div> <a class="anchor" id="a0b1282c48b843773424d97e65ee21060"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1BDCSVD.html">BDCSVD</a> </td> <td>(</td> <td class="paramtype">Index </td> <td class="paramname"><em>rows</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">Index </td> <td class="paramname"><em>cols</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">unsigned int </td> <td class="paramname"><em>computationOptions</em> = <code>0</code> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Default Constructor with memory preallocation. </p> <p>Like the default constructor but with preallocation of the internal data according to the specified problem size. </p> <dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1BDCSVD.html#a15bb6fe0bfbcf6ac5bad8ddcafd34387" title="Default Constructor. ">BDCSVD()</a> </dd></dl> </div> </div> <a class="anchor" id="a3c9182989cf14fd0111ad6c2bc0eb8b3"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1BDCSVD.html">BDCSVD</a> </td> <td>(</td> <td class="paramtype">const MatrixType & </td> <td class="paramname"><em>matrix</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">unsigned int </td> <td class="paramname"><em>computationOptions</em> = <code>0</code> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Constructor performing the decomposition of given matrix. </p> <dl class="params"><dt>Parameters</dt><dd> <table class="params"> <tr><td class="paramname">matrix</td><td>the matrix to decompose </td></tr> <tr><td class="paramname">computationOptions</td><td>optional parameter allowing to specify if you want full or thin U or V unitaries to be computed. By default, none is computed. This is a bit - field, the possible bits are #ComputeFullU, #ComputeThinU, #ComputeFullV, #ComputeThinV.</td></tr> </table> </dd> </dl> <p>Thin unitaries are only available if your matrix type has a Dynamic number of columns (for example MatrixXf). They also are not available with the (non - default) FullPivHouseholderQR preconditioner. </p> <p>References <a class="el" href="classEigen_1_1BDCSVD.html#a3b2bfdc0a8dd672390fb4ba22f4ef434">BDCSVD< _MatrixType >::compute()</a>.</p> </div> </div> <h2 class="groupheader">Member Function Documentation</h2> <a class="anchor" id="a3b2bfdc0a8dd672390fb4ba22f4ef434"></a> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1SVDBase.html">SVDBase</a>< MatrixType > & compute </td> <td>(</td> <td class="paramtype">const MatrixType & </td> <td class="paramname"><em>matrix</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">unsigned int </td> <td class="paramname"><em>computationOptions</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td></td> </tr> </table> </div><div class="memdoc"> <p>Method performing the decomposition of given matrix using custom options. </p> <dl class="params"><dt>Parameters</dt><dd> <table class="params"> <tr><td class="paramname">matrix</td><td>the matrix to decompose </td></tr> <tr><td class="paramname">computationOptions</td><td>optional parameter allowing to specify if you want full or thin U or V unitaries to be computed. By default, none is computed. This is a bit - field, the possible bits are #ComputeFullU, #ComputeThinU, #ComputeFullV, #ComputeThinV.</td></tr> </table> </dd> </dl> <p>Thin unitaries are only available if your matrix type has a Dynamic number of columns (for example MatrixXf). They also are not available with the (non - default) FullPivHouseholderQR preconditioner. </p> <p>Referenced by <a class="el" href="classEigen_1_1BDCSVD.html#a3c9182989cf14fd0111ad6c2bc0eb8b3">BDCSVD< _MatrixType >::BDCSVD()</a>, and <a class="el" href="classEigen_1_1BDCSVD.html#a26e02670d0a94c92ab41c2bc7f70e781">BDCSVD< _MatrixType >::compute()</a>.</p> </div> </div> <a class="anchor" id="a26e02670d0a94c92ab41c2bc7f70e781"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1SVDBase.html">SVDBase</a><MatrixType>& compute </td> <td>(</td> <td class="paramtype">const MatrixType & </td> <td class="paramname"><em>matrix</em></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Method performing the decomposition of given matrix using current options. </p> <dl class="params"><dt>Parameters</dt><dd> <table class="params"> <tr><td class="paramname">matrix</td><td>the matrix to decompose</td></tr> </table> </dd> </dl> <p>This method uses the current <em>computationOptions</em>, as already passed to the constructor or to <a class="el" href="classEigen_1_1BDCSVD.html#a3b2bfdc0a8dd672390fb4ba22f4ef434" title="Method performing the decomposition of given matrix using custom options. ">compute(const MatrixType&, unsigned int)</a>. </p> <p>References <a class="el" href="classEigen_1_1BDCSVD.html#a3b2bfdc0a8dd672390fb4ba22f4ef434">BDCSVD< _MatrixType >::compute()</a>.</p> </div> </div> <a class="anchor" id="a1ffab6aab715fe0918a841611a95e9aa"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">bool computeU </td> <td>(</td> <td class="paramname"></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>true if <em>U</em> (full or thin) is asked for in this SVD decomposition </dd></dl> <p>Referenced by <a class="el" href="classEigen_1_1SVDBase.html#a49e16a4adf4fe58a2d65a5e5a31e7654">SVDBase< _MatrixType >::matrixU()</a>.</p> </div> </div> <a class="anchor" id="a92e99646eefbeb071ef220841555a703"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">bool computeV </td> <td>(</td> <td class="paramname"></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>true if <em>V</em> (full or thin) is asked for in this SVD decomposition </dd></dl> <p>Referenced by <a class="el" href="classEigen_1_1SVDBase.html#ae5158ab7ca44a705c2a3b56ec926b42a">SVDBase< _MatrixType >::matrixV()</a>.</p> </div> </div> <a class="anchor" id="aa468765ea9b7f0e92380fa206e6498bd"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">Index nonzeroSingularValues </td> <td>(</td> <td class="paramname"></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>the number of singular values that are not exactly 0 </dd></dl> </div> </div> <a class="anchor" id="a48d4068b97dfbb83d62599e56e26797a"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">const SingularValuesType& singularValues </td> <td>(</td> <td class="paramname"></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>the vector of singular values.</dd></dl> <p>For the SVD decomposition of a n-by-p matrix, letting <em>m</em> be the minimum of <em>n</em> and <em>p</em>, the returned vector has size <em>m</em>. Singular values are always sorted in decreasing order. </p> </div> </div> <a class="anchor" id="ac872405f6364be4078b367ac4c6c0c01"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">const internal::solve_retval<<a class="el" href="classEigen_1_1BDCSVD.html">BDCSVD</a>, Rhs> solve </td> <td>(</td> <td class="paramtype">const MatrixBase< Rhs > & </td> <td class="paramname"><em>b</em></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>a (least squares) solution of <img class="formulaInl" alt="$ A x = b $" src="form_64.png"/> using the current SVD decomposition of A.</dd></dl> <dl class="params"><dt>Parameters</dt><dd> <table class="params"> <tr><td class="paramname">b</td><td>the right - hand - side of the equation to solve.</td></tr> </table> </dd> </dl> <dl class="section note"><dt>Note</dt><dd>Solving requires both U and V to be computed. Thin U and V are enough, there is no need for full U or V.</dd> <dd> SVD solving is implicitly least - squares. Thus, this method serves both purposes of exact solving and least - squares solving. In other words, the returned solution is guaranteed to minimize the Euclidean norm <img class="formulaInl" alt="$ \Vert A x - b \Vert $" src="form_92.png"/>. </dd></dl> </div> </div> <hr/>The documentation for this class was generated from the following file:<ul> <li><a class="el" href="BDCSVD_8h_source.html">BDCSVD.h</a></li> </ul> </div><!-- contents --> </div><!-- doc-content --> <!-- start footer part --> <div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> <ul> <li class="navelem"><a class="el" href="namespaceEigen.html">Eigen</a></li><li class="navelem"><a class="el" href="classEigen_1_1BDCSVD.html">BDCSVD</a></li> <li class="footer">Generated on Mon Oct 28 2013 11:05:27 for Eigen-unsupported by <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.5 </li> </ul> </div> <!-- Piwik --> <!-- <script type="text/javascript"> var pkBaseURL = (("https:" == document.location.protocol) ? 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