N = 4 ;
A = repmat( 1:N^2, N^2, 1 ) ;
for k = 2 : N
A(k:N:N^2,:) = circshift( A(k:N:N^2,:), (k-1) * N, 2 ) ;
end
With that, the the original A is:
A =
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
and the final:
A =
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12
9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8
5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12
9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8
5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12
9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8
5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12
9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8
5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4
I am not sure that the solutions that don't involve a FOR loop are more efficient ultimately, because the FOR loop has only N-1 iterations and no realloc or conversion to/from cell arrays. You'd have to profile every approach to be sure.
Best Answer