grobner is a package for working with Groebner bases in Maxima.
To use the following functions you must load the grobner.lisp package.
load("grobner");
A demo can be started by
demo("grobner.demo");
or
batch("grobner.demo")
Some of the calculation in the demo will take a lot of time therefore the output grobner-demo.output of the demo can be found in the same directory as the demo file.
The package was written by
Marek Rychlik
http://alamos.math.arizona.edu
and is released 2002-05-24 under the terms of the General Public License(GPL) (see file grobner.lisp). This documentation was extracted from the files
README, grobner.lisp, grobner.demo, grobner-demo.output
by Günter Nowak. Suggestions for improvement of the documentation can be discussed at the maxima-mailing-list maxima@math.utexas.edu. The code is a little bit out of date now. Modern implementation use the fast F4 algorithm described in
A new efficient algorithm for computing Gröbner bases (F4) Jean-Charles Faugère LIP6/CNRS Université Paris VI January 20, 1999
lex
pure lexicographic, default order for monomial comparisons
grlex
total degree order, ties broken by lexicographic
grevlex
total degree, ties broken by reverse lexicographic
invlex
inverse lexicographic order