<?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>markedGB(Matrix,Matrix) -- make a marked Gröbner basis</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_math__M__L.html">next</a> | <a href="_maps_spbetween_spmodules.html">previous</a> | <a href="_math__M__L.html">forward</a> | <a href="_maps_spbetween_spmodules.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>markedGB(Matrix,Matrix) -- make a marked Gröbner basis</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>markedGB(lt,m)</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_marked__G__B_lp__Matrix_cm__Matrix_rp.html" title="make a marked Gröbner basis">markedGB</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>lt</tt>, <span>a <a href="___Matrix.html">matrix</a></span>, the matrix of monomials in (the columns of) <tt>m</tt> to mark as lead terms, with respect to an unspecified monomial ordering</span></li> <li><span><tt>m</tt>, <span>a <a href="___Matrix.html">matrix</a></span>, the matrix whose columns are to form the generators of a Gröbner basis</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Groebner__Basis.html">Groebner basis</a></span>, the resulting Gröbner basis</span></li> </ul> </div> </li> <li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><tt>SyzygyMatrix => </tt><span><span>a <a href="___Matrix.html">matrix</a></span>, <span>default value null</span>, the matrix of syzygies</span></span></li> <li><span><tt>MinimalMatrix => </tt><span><span>a <a href="___Matrix.html">matrix</a></span>, <span>default value null</span>, the matrix of minimal generators</span></span></li> <li><span><tt>ChangeMatrix => </tt><span><span>a <a href="___Matrix.html">matrix</a></span>, <span>default value null</span>, the change-of-basis matrix</span></span></li> </ul> </div> </li> </ul> </div> <div><!--empty documentation body--></div> </div> </body> </html>