How to find the reverse of a permutation vector?

Dear all,
I have a permutation vector
p = [1 3 2 4];
and I define its corresponding permutation matrix is
P = [1 0 0 0 ; 0 0 1 0 ; 0 1 0 0 ; 0 0 0 1 ]; Then the transpose of P is P' = P.
So what's the corresponding permutation vector of P', said pt?
In this case, pt = p since P' = P.
So, are there any fast way (matlab function) to compute permutation vector pt for a given p, for more general case?
Thanks
Paul

更多回答(2 个)

Notice that
p = P * (1:4)'
The same for pt, i.e.
pt = P' * (1:4)'
For vectors p of length N, just use:
pt= P' * (1:N)'
The transpose in (1:N)' is only there to ensure that (1:N) is a column vector.

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