Provided by: 4ti2_1.6.7+ds-2build2_amd64
4ti2 - software package for algebraic, geometric and combinatorial problems on linear spaces
4ti2-circuits 4ti2-genmodel [--quiet] foo.mod 4ti2-gensymm [--quiet] a b c d foo 4ti2-graver [--quiet] foo[|.mat|.lat] 4ti2-groebner [--quiet|-q] [--force|-f] [--saturation|-s] [--project-and-lift|-p] [--normal|-n] [--weighted|-w] [--gebauer-moeller|-g] [--auto-reduce-freq=N|-aN] foo 4ti2-hilbert [--quiet] foo 4ti2-markov [--quiet|-q] foo 4ti2-minimize [--quiet|-q] foo 4ti2-normalform 4ti2-output [--quiet] [--binomials] [--maple] [--0-1] [--transpose] [--degree [N]] [--positive] [--3way a b c] foo 4ti2-ppi 4ti2-qsolve 4ti2-rays 4ti2-walk 4ti2-zbasis 4ti2-zsolve
The software package 4ti2 is a suite of command-line tools for addressing algebraic, geometric and combinatorial problems on linear spaces.
The main concept of 4ti2 remains the same: a project is defined via a file foo[.mat] containing the problem matrix. Related sets such as Graver basis or Markov basis are put into foo.gra and foo.mar, respectively. Input files and output files usually contain a matrix or a list of vectors (written as a matrix) in a standard encoding such as 2 4 1 1 1 1 1 2 3 4 There are only few exceptions, for example in a file foo.vars containing user specified variable names: 3 a b x
User's Guide for 4ti2 http://www.4ti2.de/
Ralf Hemmecke Raymond Hemmecke Matthias Koeppe Peter Malkin Matthias Walter