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D.7.2.5 completeReduction
Procedure from library ainvar.lib (see ainvar_lib).
- Usage:
- completeReduction(p,I[,q,n]); p poly, I ideal, [q monomial, n int]
- Return:
- a polynomial, the SAGBI reduction of the polynomial p with respect to I
via the procedure 'reduction' as long as possible
if n=1, a different algorithm is chosen which is sometimes faster
(default: n=0; q and n can be given (or not) in any order)
- Note:
- help reduction; shows an explanation of SAGBI reduction
Example:
| | LIB "ainvar.lib";
ring q=0,(x,y,z,u,v,w),dp;
poly p=x2yz-x2v;
ideal dom =x-w,u2w+1,yz-v;
completeReduction(p,dom);
==> 2xyzw-yzw2-2xvw+vw2
completeReduction(p,dom,w);
==> 0
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