mathnfmodid

Function: mathnfmodid
Section: linear_algebra
C-Name: hnfmodid
Prototype: GG
Help: mathnfmodid(x,d): (upper triangular) Hermite normal form of x
 concatenated with matdiagonal(d).
Doc: outputs the (upper triangular)
 \idx{Hermite normal form} of $x$ concatenated with the diagonal
 matrix with diagonal $d$. Assumes that $x$ has integer entries.
 Variant: if $d$ is an integer instead of a vector, concatenate $d$ times the
 identity matrix.
 \bprog
 ? m=[0,7;-1,0;-1,-1]
 %1 =
 [ 0  7]

 [-1  0]

 [-1 -1]
 ? mathnfmodid(m, [6,2,2])
 %2 =
 [2 1 1]

 [0 1 0]

 [0 0 1]
 ? mathnfmodid(m, 10)
 %3 =
 [10 7 3]

 [ 0 1 0]

 [ 0 0 1]
 @eprog