Getting the mapping for a permutation in MATLAB

Question

Say I have two arrays where one is a permutation of the other:

A = [2 1 5 3 7]
B = [7 2 1 3 5]

with no repetitions in either array.

How can I obtain the permutation mapping between both?

E.g. A->B should be:

[2, 3, 5, 4, 1]

which means:

A(1) -> B(2)
A(2) -> B(3)
A(3) -> B(5)
A(4) -> B(4)
A(5) -> B(1)

Update:

Is there a fast vectorized solution that does not use ismember ? In my experience, ismember tends to be slow for very large arrays.

Answer 1

How about this:

[i a] = sort(A);
[i b] = sort(B);
mapping = b(a)