zte man page

zte — tensor product of two matrices or permutations

Synopsis

zte [Options] <A> <B> <Result>

Description

This program reads in two matrices or permutations and writes out their tensor (Kronecker) product. If A is an mxn matrix, and B is an m'xn' matrix, the result is an mm'xnn' matrix consisting of all possible products of entries from A and B. An example may make this clearer:

$ zpr G1
matrix field=17 nor=2 noc=3
1 2 3
1 1 0
$ zpr G2
matrix field=17 nor=2 noc=2
2 0
1 3
$ zte G1 G2 P1
$ zpr P1
matrix field=17 nor=2 noc=6
2 0 4 0 6 0
1 3 2 6 3 9
2 0 2 0 0 0
1 3 1 3 0 0

If the input files contain permutations on n and n' points, respectively, the result is a permutation on nn' points, which describes the action of (A,B) on ordered pairs of points. This action is defined in the obvious way: (i,k) maps to (iA,kB). In the output, pairs are represented as numbers using the lexicographic ordering (1,1), ..., (1,n'), (2,1), ..., (n,n').

Options

-Q
Quiet, no messages.
-V
Verbose, more messages.
-T <MaxTime>
Set CPU time limit

Info

2.4.24 MeatAxe User Commands