Command Line

zte [Options] A B Result

Options: Standard options, see Standard Command Line Options

A: Left factor.

B: Right factor.

Result: Result matrix

Input Files

A: Left factor (patrix or permutation).

B: Right factor (patrix or permutation).

Output Files

Result: Result matrix

Description

This program reads in two matrices or permutations and writes out their tensor (Kronecker) product. If A is an m×n matrix, and B is an m'×n' matrix, the result is an mm'×nn' 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').