Documentation for f1eddf4d65

This commit is contained in:
realstealthninja
2025-07-09 10:53:16 +00:00
parent e7edde96ab
commit b41207008f
2497 changed files with 31270 additions and 40283 deletions

View File

@@ -4,7 +4,7 @@
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
<meta name="generator" content="Doxygen 1.13.2"/>
<meta name="generator" content="Doxygen 1.14.0"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>TheAlgorithms/C++: qr_algorithm Namespace Reference</title>
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
@@ -19,7 +19,6 @@
<link href="../../navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../navtreedata.js"></script>
<script type="text/javascript" src="../../navtree.js"></script>
<script type="text/javascript" src="../../resize.js"></script>
<script type="text/javascript" src="../../cookie.js"></script>
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../search/searchdata.js"></script>
@@ -60,26 +59,20 @@ window.MathJax = {
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.13.2 -->
<!-- Generated by Doxygen 1.14.0 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "../../search/",'.html');
/* @license-end */
</script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() { codefold.init(1); });
/* @license-end */
$(function() { codefold.init(); });
</script>
<script type="text/javascript" src="../../menudata.js"></script>
<script type="text/javascript" src="../../menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() {
initMenu('../../',true,false,'search.php','Search',true);
$(function() { init_search(); });
});
/* @license-end */
</script>
<div id="main-nav"></div>
</div><!-- top -->
@@ -94,10 +87,9 @@ $(function() {
</div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function(){initNavTree('d2/d3b/namespaceqr__algorithm.html','../../'); initResizable(true); });
/* @license-end */
$(function(){initNavTree('d2/d3b/namespaceqr__algorithm.html','../../',''); });
</script>
<div id="container">
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
@@ -121,8 +113,6 @@ $(function(){initNavTree('d2/d3b/namespaceqr__algorithm.html','../../'); initRes
</div>
<div class="header">
<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">qr_algorithm Namespace Reference</div></div>
</div><!--header-->
<div class="contents">
@@ -130,32 +120,25 @@ $(function(){initNavTree('d2/d3b/namespaceqr__algorithm.html','../../'); initRes
<p>Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of any rectangular matrix.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:adfbdf47277c8cfee229b05b72f1f7834" id="r_adfbdf47277c8cfee229b05b72f1f7834"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:adfbdf47277c8cfee229b05b72f1f7834"><td class="memTemplItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#adfbdf47277c8cfee229b05b72f1f7834">operator&lt;&lt;</a> (std::ostream &amp;out, std::valarray&lt; std::valarray&lt; T &gt; &gt; const &amp;v)</td></tr>
<tr class="separator:adfbdf47277c8cfee229b05b72f1f7834"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adfbdf47277c8cfee229b05b72f1f7834 template"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#adfbdf47277c8cfee229b05b72f1f7834">operator&lt;&lt;</a> (std::ostream &amp;out, std::valarray&lt; std::valarray&lt; T &gt; &gt; const &amp;v)</td></tr>
<tr class="memitem:a257425cb2365359da51c6fe6741834d8" id="r_a257425cb2365359da51c6fe6741834d8"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a257425cb2365359da51c6fe6741834d8"><td class="memTemplItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a257425cb2365359da51c6fe6741834d8">operator&lt;&lt;</a> (std::ostream &amp;out, std::valarray&lt; T &gt; const &amp;v)</td></tr>
<tr class="separator:a257425cb2365359da51c6fe6741834d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a257425cb2365359da51c6fe6741834d8 template"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a257425cb2365359da51c6fe6741834d8">operator&lt;&lt;</a> (std::ostream &amp;out, std::valarray&lt; T &gt; const &amp;v)</td></tr>
<tr class="memitem:a8ea313a1a1b5f9d0e3e332c29c6446ec" id="r_a8ea313a1a1b5f9d0e3e332c29c6446ec"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a8ea313a1a1b5f9d0e3e332c29c6446ec"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a8ea313a1a1b5f9d0e3e332c29c6446ec">vector_dot</a> (const std::valarray&lt; T &gt; &amp;a, const std::valarray&lt; T &gt; &amp;b)</td></tr>
<tr class="separator:a8ea313a1a1b5f9d0e3e332c29c6446ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8ea313a1a1b5f9d0e3e332c29c6446ec template"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8ea313a1a1b5f9d0e3e332c29c6446ec">vector_dot</a> (const std::valarray&lt; T &gt; &amp;a, const std::valarray&lt; T &gt; &amp;b)</td></tr>
<tr class="memitem:ad16da2183db22378435042f26af43d5f" id="r_ad16da2183db22378435042f26af43d5f"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ad16da2183db22378435042f26af43d5f"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ad16da2183db22378435042f26af43d5f">vector_mag</a> (const std::valarray&lt; T &gt; &amp;a)</td></tr>
<tr class="separator:ad16da2183db22378435042f26af43d5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad16da2183db22378435042f26af43d5f template"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad16da2183db22378435042f26af43d5f">vector_mag</a> (const std::valarray&lt; T &gt; &amp;a)</td></tr>
<tr class="memitem:a6d3c7dce1f142141f509d09f6c0e25dc" id="r_a6d3c7dce1f142141f509d09f6c0e25dc"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a6d3c7dce1f142141f509d09f6c0e25dc"><td class="memTemplItemLeft" align="right" valign="top">std::valarray&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a6d3c7dce1f142141f509d09f6c0e25dc">vector_proj</a> (const std::valarray&lt; T &gt; &amp;a, const std::valarray&lt; T &gt; &amp;b)</td></tr>
<tr class="separator:a6d3c7dce1f142141f509d09f6c0e25dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6d3c7dce1f142141f509d09f6c0e25dc template"><td class="memItemLeft" align="right" valign="top">std::valarray&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a6d3c7dce1f142141f509d09f6c0e25dc">vector_proj</a> (const std::valarray&lt; T &gt; &amp;a, const std::valarray&lt; T &gt; &amp;b)</td></tr>
<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1" id="r_a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a> (const std::valarray&lt; std::valarray&lt; T &gt; &gt; &amp;A, std::valarray&lt; std::valarray&lt; T &gt; &gt; *Q, std::valarray&lt; std::valarray&lt; T &gt; &gt; *R)</td></tr>
<tr class="separator:a73ce637634fc49e1d10d190eb388ebf1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1 template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a> (const std::valarray&lt; std::valarray&lt; T &gt; &gt; &amp;A, std::valarray&lt; std::valarray&lt; T &gt; &gt; *Q, std::valarray&lt; std::valarray&lt; T &gt; &gt; *R)</td></tr>
<tr class="memitem:a28e2fa3e803abaea6c568dc45d69d8cc" id="r_a28e2fa3e803abaea6c568dc45d69d8cc"><td class="memItemLeft" align="right" valign="top">std::valarray&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a28e2fa3e803abaea6c568dc45d69d8cc">eigen_values</a> (std::valarray&lt; std::valarray&lt; double &gt; &gt; *A, bool print_intermediates=false)</td></tr>
<tr class="separator:a28e2fa3e803abaea6c568dc45d69d8cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of any rectangular matrix. </p>
</div><h2 class="groupheader">Function Documentation</h2>
</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="a28e2fa3e803abaea6c568dc45d69d8cc" name="a28e2fa3e803abaea6c568dc45d69d8cc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a28e2fa3e803abaea6c568dc45d69d8cc">&#9670;&#160;</a></span>eigen_values()</h2>
@@ -196,7 +179,7 @@ Functions</h2></td></tr>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">A</td><td>matrix to compute eigen values for </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">print_intermediates</td><td>(optional) whether to print intermediate A, Q and R matrices (default = <code>false</code>) </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">print_intermediates</td><td>(optional) whether to print intermediate A, Q and R matrices (default = <span class="tt">false</span>) </td></tr>
</table>
</dd>
</dl>
@@ -599,11 +582,19 @@ template&lt;typename T&gt; </div>
</div>
</div><!-- contents -->
</div><!-- doc-content -->
<div id="page-nav" class="page-nav-panel">
<div id="page-nav-resize-handle"></div>
<div id="page-nav-tree">
<div id="page-nav-contents">
</div><!-- page-nav-contents -->
</div><!-- page-nav-tree -->
</div><!-- page-nav -->
</div><!-- container -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html">qr_algorithm</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
<li class="navelem"><a href="../../d2/d3b/namespaceqr__algorithm.html">qr_algorithm</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.14.0 </li>
</ul>
</div>
</body>