./wip/gfan, Program for computing with Groebner fans

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Branch: CURRENT, Version: 0.4, Package name: gfan-0.4, Maintainer: jihbed.research

Gfan is a software package for computing Groebner fans and tropical varieties.
These are polyhedral fans associated to polynomial ideals. The maximal cones of
a Groebner fan are in bijection with the marked reduced Groebner bases of its
defining ideal. The software computes all marked reduced Groebner bases of an
ideal. Their union is a universal Groebner basis. The tropical variety of a
polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains
algorithms for computing this complex for general ideals and specialized
algorithms for tropical curves, tropical hypersurfaces and tropical varieties of
prime ideals. In addition to the above core functions the package contains many
tools which are useful in the study of Groebner bases, initial ideals and
tropical geometry. Among these are an interactive traversal program for Groebner
fans and programs for graphical renderings.

For ordinary Groebner basis computations Gfan is not competitive in speed
compared to programs such as CoCoA, Singular and Macaulay2.


Required to run:
[devel/gmp]

Required to build:
[pkgtools/cwrappers]

Master sites:

RMD160: 34985220ac5a590f948a320c2b3d2fab453f1f62
Filesize: 723.774 KB

Version history: (Expand)

CVS history: (Expand)


   2012-11-23 23:33:26 by othyro | Files touched by this commit (50) 
Log message:
Mostly whitespace and blank line fixing. Some files also got minor
formatting corrections as well as other corrections.
   2012-09-29 02:50:33 by Aleksej Saushev | Files touched by this commit (158) 
Log message:
Drop superfluous PKG_DESTDIR_SUPPORT, "user-destdir" is default these days.
Mark packages that don't or might probably not have staged installation.
   2010-05-03 16:57:41 by Kamel Derouiche | Files touched by this commit (4) | Imported package
Log message:
Import gfan-0.4 as wip/gfan.

Gfan is a software package for computing Groebner fans and tropical varieties. \ 
These are polyhedral fans associated to polynomial 
ideals. The maximal cones of a Groebner fan are in bijection with the marked \ 
reduced Groebner bases of its defining ideal. The 
software computes all marked reduced Groebner bases of an ideal. Their union is \ 
a universal Groebner basis. The tropical variety of 
a polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains \ 
algorithms for computing this complex for general 
ideals and specialized algorithms for tropical curves, tropical hypersurfaces \ 
and tropical varieties of prime ideals. In addition to the 
above core functions the package contains many tools which are useful in the \ 
study of Groebner bases, initial ideals and tropical 
geometry. Among these are an interactive traversal program for Groebner fans and \ 
programs for graphical renderings.

For ordinary Groebner basis computations Gfan is not competitive in speed \ 
compared to programs such as CoCoA, Singular and 
Macaulay2.