Singular

7.10.6.29 ncrepRegularMinimize

Usage:

ncrep s = ncrepRegularMinimize(q, vars, point);

Return:

ncrep s representing the same rational
function as ncrep q, where s is of minimal size

Assumption:

q is regular at scalar point a, i.e.,
if one substitutes in ai for all nc variables xi in q then q.mat has to be invertible

Note:

list vars = list(x1, ..., xn) has to consist
exactly of the nc variables occuring in q and
list point = list(a1, ..., an) consists of scalars

LIB "ncrat.lib";
ncInit(list("x", "y"));
ncrat f = ncratFromString("inv(x*y)");
ncrep q = ncrepGet(f);
ncrepDim(q);
==> 5
ncrep s = ncrepRegularMinimize(q, list(x, y), list(1, 1));
ncrepDim(s);
==> 2
s;
==> lvec=
==> -1,0
==> 
==> mat=
==> -y,x+1,
==> 0, -x  
==> 
==> rvec=
==> 1,
==> -1
==>