4ti2-qsolve(1)
NAME
4ti2 - software package for algebraic, geometric and combinatorial problems on linear spaces
SYNOPSIS
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
DESCRIPTION
The software package 4ti2 is a suite of command-line tools for addressing algebraic, geometric and combinatorial problems on linear spaces.
DATA STRUCTURE
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
SEE ALSO
User's Guide for 4ti2 http://www.4ti2.de/
AUTHORS
Ralf Hemmecke Raymond Hemmecke Matthias Koeppe Peter Malkin Matthias Walter
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