1zte(1) User Commands zte(1)
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6 zte - tensor product of two matrices or permutations
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9 zte [OPTIONS] <A> <B> <Result>
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12 This program reads in two matrices or permutations and writes out their
13 tensor (Kronecker) product. If A is an mxn matrix, and B is an m'xn'
14 matrix, the result is an mm'xnn' matrix consisting of all possible
15 products of entries from A and B. An example may make this clearer:
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17 $ zpr G1
18 matrix field=17 nor=2 noc=3
19 1 2 3
20 1 1 0
21 $ zpr G2
22 matrix field=17 nor=2 noc=2
23 2 0
24 1 3
25 $ zte G1 G2 P1
26 $ zpr P1
27 matrix field=17 nor=2 noc=6
28 2 0 4 0 6 0
29 1 3 2 6 3 9
30 2 0 2 0 0 0
31 1 3 1 3 0 0
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33 If the input files contain permutations on n and n' points, respec‐
34 tively, the result is a permutation on nn' points, which describes the
35 action of (A,B) on ordered pairs of points. This action is defined in
36 the obvious way: (i,k) maps to (iA,kB). In the output, pairs are repre‐
37 sented as numbers using the lexicographic ordering (1,1), ..., (1,n'),
38 (2,1), ..., (n,n').
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41 -Q Quiet, no messages.
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43 -V Verbose, more messages.
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45 -T <MaxTime>
46 Set CPU time limit
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50MeatAxe 2.4.24 zte(1)