<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>Givens -- use Givens rotations instead of Gram-Schmidt during LLL</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___L__L__L_lp..._cm_sp__Change__Matrix_sp_eq_gt_sp..._rp.html">next</a> | <a href="___Cohen__Top__Level.html">previous</a> | <a href="___L__L__L_lp..._cm_sp__Change__Matrix_sp_eq_gt_sp..._rp.html">forward</a> | <a href="___Cohen__Top__Level.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>Givens -- use Givens rotations instead of Gram-Schmidt during LLL</h1> <div class="single"><h2>Description</h2> <div><tt>Givens</tt> -- a strategy value for <a href="___L__L__L_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html" title="choose among different algorithms">LLL(..., Strategy => ...)</a> used to specify that Givens rotations should be used instead of the usual (but inferior) Gram-Schmidt orthogonalization. Only valid for approximate LLL computations.</div> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Givens.html" title="use Givens rotations instead of Gram-Schmidt during LLL">Givens</a> is <span>a <a href="../../Macaulay2Doc/html/___Symbol.html">symbol</a></span>.</p> </div> </div> </body> </html>