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[ Source: gfan  ]

Package: gfan (0.5+dfsg-6)

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program for computing with Groebner fans

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.

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Download for all available architectures
Architecture Package Size Installed Size Files
alpha (unofficial port) 852.6 kB3,333.0 kB [list of files]
amd64 874.4 kB2,626.0 kB [list of files]
arm64 743.8 kB2,398.0 kB [list of files]
armel 689.1 kB2,197.0 kB [list of files]
armhf 735.1 kB1,609.0 kB [list of files]
hppa (unofficial port) 793.9 kB2,609.0 kB [list of files]
hurd-i386 940.1 kB2,753.0 kB [list of files]
i386 935.5 kB2,749.0 kB [list of files]
kfreebsd-amd64 874.6 kB2,634.0 kB [list of files]
kfreebsd-i386 935.8 kB2,749.0 kB [list of files]
m68k (unofficial port) 620.1 kB2,121.0 kB [list of files]
mips 735.8 kB3,204.0 kB [list of files]
mips64el 750.3 kB3,277.0 kB [list of files]
mipsel 750.2 kB3,212.0 kB [list of files]
powerpc 783.7 kB2,721.0 kB [list of files]
powerpcspe (unofficial port) 786.1 kB2,657.0 kB [list of files]
ppc64 (unofficial port) 820.5 kB3,170.0 kB [list of files]
ppc64el 824.7 kB2,978.0 kB [list of files]
s390x 826.4 kB2,938.0 kB [list of files]
sh4 (unofficial port) 1,087.9 kB2,570.0 kB [list of files]
sparc64 (unofficial port) 696.4 kB2,503.0 kB [list of files]
x32 (unofficial port) 880.0 kB2,521.0 kB [list of files]