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7.7.4.0. initialIdealW
Procedure from library dmodapp.lib (see dmodapp_lib).

Usage:
initialIdealW(I,u,v [,s,t,w]);
I ideal, u,v intvecs, s,t optional ints, w an optional intvec

Return:
ideal, GB of initial ideal of the input ideal wrt the weights u and v

Assume:
The basering is the n-th Weyl algebra in characteristic 0 and for all
1<=i<=n the identity var(i+n)*var(i)=var(i)*var(i+1)+1 holds, i.e. the
sequence of variables is given by x(1),...,x(n),D(1),...,D(n),
where D(i) is the differential operator belonging to x(i).

Purpose:
computes the initial ideal with respect to given weights.

Note:
u and v are understood as weight vectors for x(1..n) and D(1..n)
respectively.
If s<>0, std is used for Groebner basis computations,
otherwise, and by default, slimgb is used.
If t<>0, a matrix ordering is used for Groebner basis computations,
otherwise, and by default, a block ordering is used.
If w is given and consists of exactly 2*n strictly positive entries,
w is used as homogenization weight.
Otherwise, and by default, the homogenization weight (1,...,1) is used.

Display:
If printlevel=1, progress debug messages will be printed,
if printlevel>=2, all the debug messages will be printed.

Example:
 


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