Singular Manual: fastelim

  | #### D.8.3.5 fastelim Procedure from library `presolve.lib` (see presolve_lib). Usage: fastelim(i,p[h,o,a,b,e,m]); i=ideal, p=polynomial; h,o,a,b,e=integers p: product of variables to be eliminated; Optional parameters:
        - h !=0: use Hilbert-series driven std-basis computation
        - o !=0: use proc valvars for a - hopefully - optimal ordering of vars
        - a !=0: order vars to be eliminated w.r.t. increasing complexity
        - b !=0: order vars not to be eliminated w.r.t. increasing complexity
        - e !=0: use elimpart first to eliminate easy part
        - m !=0: compute a minimal system of generators
(default: h,o,a,b,e,m = 0,1,0,0,0,0) Return: ideal obtained from i by eliminating those variables, which occur in p Example:
    LIB "presolve.lib";
    ring s=31991,(e,f,x,y,z,t,u,v,w,a,b,c,d),dp;
    ideal i = w2+f2-1, x2+t2+a2-1,  y2+u2+b2-1, z2+v2+c2-1,
    d2+e2-1, f4+2u, wa+tf, xy+tu+ab;
    fastelim(i,xytua,1,1);       //with hilb,valvars
    ==> _[1]=z2+v2+c2-1
    ==> _[2]=f2+w2-1
    ==> _[3]=e2+d2-1
    fastelim(i,xytua,1,0,1);     //with hilb,minbase
    ==> _[1]=z2+v2+c2-1
    ==> _[2]=f2+w2-1
    ==> _[3]=e2+d2-1

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