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Post subject: degbound Posted: Mon Mar 17, 2008 5:33 pm |
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Hello
I want to compute in K[x,z] a Groebner Basis. The computation of the whole Groebner Basis takes a lot of time, but actually I need only those entries in the Groebner Basis which have deg_z = 1. Degbound works only for the total degree, so is there a way to modify debound?
And how does degbound work? Can it guarantue that I will get all entries with total degree smaller than degbound? thanks
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hannes
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Post subject: Re degbound Posted: Tue May 06, 2008 6:54 pm |
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Joined: Wed May 25, 2005 4:16 pm Posts: 275
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degbound removes all pairs from the list of pairs where the degree of the leading term of the s-poly is bigger than degbound.
If your input is homogeneous then you will get a partial groebner base, i.e. the result is correct up to degbound.
In all other cases, a removed pair could result in a new element for the Groebner basis with a degree smaller than degbound.
Hans Schoenemann
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