algpoleval

Function: algpoleval
Section: algebras
C-Name: algpoleval
Prototype: GGG
Help: algpoleval(al,T,b): T in K[X] evaluate T(b) in al.
Doc: Given an element $b$ in \var{al} and a polynomial $T$ in $K[X]$,
 computes~$T(b)$ in~\var{al}. Also accepts as input a \typ{VEC}~$[b,mb]$
 where~$mb$ is the left multiplication table of~$b$.

 \bprog
 ? nf = nfinit(y^2-5);
 ? al = alginit(nf,[y,-1]);
 ? b = [1..8]~;
 ? pol = algcharpoly(al,b,,1);
 ? algpoleval(al,pol,b)==0
 %5 = 1
 ? mb = algtomatrix(al,b,1);
 ? algpoleval(al,pol,[b,mb])==0
 %7 = 1
 @eprog