Difference between revisions of "ApCoCoA-1:Weyl.WRedGB"
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This function converts Groebner basis <tt>GB</tt> computed by ApCoCoAServer into the reduced Groebner Basis. If <tt>GB</tt> is not a Groebner basis then the output will not be the reduced Groebner basis. In fact, this function reduces a list <tt>GB</tt> of Weyl polynomials using <ref>Weyl.WNR</ref> into a new list <tt>L</tt> such that <tt>Ideal(L) = Ideal(GB)</tt>. | This function converts Groebner basis <tt>GB</tt> computed by ApCoCoAServer into the reduced Groebner Basis. If <tt>GB</tt> is not a Groebner basis then the output will not be the reduced Groebner basis. In fact, this function reduces a list <tt>GB</tt> of Weyl polynomials using <ref>Weyl.WNR</ref> into a new list <tt>L</tt> such that <tt>Ideal(L) = Ideal(GB)</tt>. | ||
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<par/> | <par/> | ||
<em>Note:</em> This function is faster than <ref>Weyl.WRGB</ref> for a list <tt>GB</tt> of large size. | <em>Note:</em> This function is faster than <ref>Weyl.WRGB</ref> for a list <tt>GB</tt> of large size. | ||
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<see>Weyl.WGB</see> | <see>Weyl.WGB</see> | ||
<see>Weyl.WRGB</see> | <see>Weyl.WRGB</see> | ||
| + | <see>Weyl.WRGBS</see> | ||
<see>Introduction to Groebner Basis in CoCoA</see> | <see>Introduction to Groebner Basis in CoCoA</see> | ||
<see>Introduction to CoCoAServer</see> | <see>Introduction to CoCoAServer</see> | ||
Revision as of 12:04, 24 May 2010
Weyl.WRedGB
Computes reduced Groebner basis of a D-ideal in Weyl algebra A_n.
Syntax
Weyl.WRedGB(GB:LIST):LIST
Description
This function converts Groebner basis GB computed by ApCoCoAServer into the reduced Groebner Basis. If GB is not a Groebner basis then the output will not be the reduced Groebner basis. In fact, this function reduces a list GB of Weyl polynomials using Weyl.WNR into a new list L such that Ideal(L) = Ideal(GB).
Note: This function is faster than Weyl.WRGB for a list GB of large size.
@param GB Groebner Basis of an ideal in the Weyl algebra.
@result The reduced Groebner Basis of the given ideal.
Example
A1::=QQ[x,d]; --Define appropriate ring Use A1; L:=[x,d,1]; Weyl.WRedGB(L); [1] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
