<?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>engine</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_diagonal__Matrix.html">next</a> | <a href="___Developer_sqs_sp__Corner.html">previous</a> | forward | backward | <a href="___Developer_sqs_sp__Corner.html">up</a> | <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> <div><a href="___Developer_sqs_sp__Corner.html" title="">Developer's Corner</a> > <a href="_engine.html" title="">engine</a></div> <hr/> <div><h1>engine</h1> <div>The engine is the part of the program that is dedicated to performing the computation of Gröbner bases with Buchberger's algorithm. It is coded directly in C++ for speed.<p/> The Macaulay2 engine provides fast polynomial and matrix operations, and Gröbner bases, syzygies, Hilbert functions, resolutions and other operations that we feel need to be implemented directly for efficiency reasons.</div> </div> </body> </html>