<?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>LLLBases : Table of Contents</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body><div><a href="index.html">top</a> | <a href="master.html">index</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> <hr/> <h1>LLLBases : Table of Contents</h1> <ul><li><span><span><a href="index.html" title="lattice reduction (Lenstra-Lenstra-Lovasz bases)">LLLBases</a> -- lattice reduction (Lenstra-Lenstra-Lovasz bases)</span><ul><li><span><span><a href="___L__L__L.html" title="compute an LLL basis">LLL</a> -- compute an LLL basis</span></span></li> <li><span><span><tt>kernelLLL</tt> (missing documentation<!-- tag: kernelLLL -->)</span></span></li> <li><span><span><a href="_gcd__L__L__L.html" title="compute the gcd of integers, and small multipliers">gcdLLL</a> -- compute the gcd of integers, and small multipliers</span></span></li> <li><span><span><tt>hermite</tt> (missing documentation<!-- tag: hermite -->)</span></span></li> <li><span><span><tt>gramm</tt> (missing documentation<!-- tag: gramm -->)</span></span></li> <li><span><span><a href="_is__L__L__L.html" title="is a basis an LLL basis?">isLLL</a> -- is a basis an LLL basis?</span></span></li> </ul> </span></li> <li><span><span><a href="___B__K__Z.html" title="compute BKZ reduced basis instead of an LLL reduced basis">BKZ</a> -- compute BKZ reduced basis instead of an LLL reduced basis</span></span></li> <li><span><span><a href="___Cohen__Engine.html" title="use the original Macaulay2 LLL algorithm">CohenEngine</a> -- use the original Macaulay2 LLL algorithm</span></span></li> <li><span><span><a href="___Cohen__Top__Level.html" title="use the Macaulay2 language LLL algorithm">CohenTopLevel</a> -- use the Macaulay2 language LLL algorithm</span></span></li> <li><span><span><a href="___Givens.html" title="use Givens rotations instead of Gram-Schmidt during LLL">Givens</a> -- use Givens rotations instead of Gram-Schmidt during LLL</span></span></li> <li><span><span><a href="___L__L__L_lp..._cm_sp__Change__Matrix_sp_eq_gt_sp..._rp.html" title="also find change of basis matrix">LLL(..., ChangeMatrix => ...)</a> -- also find change of basis matrix</span></span></li> <li><span><span><a href="___L__L__L_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html" title="choose among different algorithms">LLL(..., Strategy => ...)</a> -- choose among different algorithms</span></span></li> <li><span><span><a href="___N__T__L.html" title="use the all-integer LLL strategy from NTL library">NTL</a> -- use the all-integer LLL strategy from NTL library</span></span></li> <li><span><span><a href="___Real__F__P.html" title="use double precision real numbers">RealFP</a> -- use double precision real numbers</span></span></li> <li><span><span><a href="___Real__Q__P.html" title="use quadruple precision real numbers">RealQP</a> -- use quadruple precision real numbers</span></span></li> <li><span><span><a href="___Real__Q__P1.html" title="use a combination of double precision and quad precision real numbers">RealQP1</a> -- use a combination of double precision and quad precision real numbers</span></span></li> <li><span><span><a href="___Real__R__R.html" title="use arbitrary precision real numbers">RealRR</a> -- use arbitrary precision real numbers</span></span></li> <li><span><span><a href="___Real__X__D.html" title="use extended exponent real numbers">RealXD</a> -- use extended exponent real numbers</span></span></li> <li><span><span><a href="___Threshold.html" title="the LLL threshold, in interval (1/4,1]">Threshold</a> -- the LLL threshold, in interval (1/4,1]</span></span></li> </ul> </body> </html>
