gfanTropicalStartingCone(L)
gfanTropicalStartingCone(I)
This method compute a pair of Groebner bases as needed for gfanTropicalTraverse. It heuristically finds a cone of the Tropical Variety. Its first output is the Groebner basis of the cone's monomial-free initial ideal. And the second output is the Groebner basis of the original ideal. Note that gfanTropicalStartingCone uses graded reverse lex order.
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gfan Documentation This program computes a starting pair of marked reduced Groebner bases to be used as input for gfan_tropicaltraverse. The input is a homogeneous ideal whose tropical variety is a pure d-dimensional polyhedral complex.Options:-g: Tell the program that the input is already a reduced Groebner basis.-d: Output dimension information to standard error.--stable: Find starting cone in the stable intersection or, equivalently, pretend that the coefficients are genereric.
The object gfanTropicalStartingCone is a method function with options.