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Package: gfan (0.3dfsg-1)

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.

Other Packages Related to gfan

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  • dep: libc0.3 (>= 2.7-1) [hurd-i386]
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  • dep: libc6 (>= 2.5) [avr32]
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  • dep: libgcc1 (>= 1:4.1.1) [not armel, avr32, hppa, hurd-i386, kfreebsd-amd64, kfreebsd-i386]
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    dep: libgcc1 (>= 1:4.2.1) [avr32]
    dep: libgcc1 (>= 1:4.3) [armel]
    dep: libgcc1 (>= 1:4.4) [kfreebsd-amd64, kfreebsd-i386]
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    dep: libstdc++6 (>= 4.3) [armel]
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Download gfan

Download for all available architectures
Architecture Package Size Installed Size Files
alpha 391.2 kB1216 kB [list of files]
amd64 380.3 kB1024 kB [list of files]
armel 334.6 kB876 kB [list of files]
avr32 (unofficial port) 364.2 kB932 kB [list of files]
hppa 415.5 kB1068 kB [list of files]
hurd-i386 365.7 kB976 kB [list of files]
i386 439.6 kB1152 kB [list of files]
ia64 542.2 kB1700 kB [list of files]
kfreebsd-amd64 379.8 kB958 kB [list of files]
kfreebsd-i386 359.9 kB894 kB [list of files]
mips 387.6 kB1380 kB [list of files]
mipsel 385.9 kB1380 kB [list of files]
powerpc 388.0 kB1036 kB [list of files]
s390 363.4 kB968 kB [list of files]
sparc 410.8 kB1164 kB [list of files]