how to find the Reverse process of A(B).

I have two arrays A and B. for instance,

A=[1 3 2 4 5 6 7 8 8 9 11];
B=[10 4 3 1 7 6 9 5 2 8 11];

in matlab

A(B)=[9     4     2     1     7     6     8     5     3     8    11];

My question is: How to calculate A, if B and A(B) are given.

Any help will be appericiated.

Answer 1

[Adam Danz]

A=[1 3 2 4 5 6 7 8 8 9 11];
B=[10 4 3 1 7 6 9 5 2 8 11];

C = A(B); 

A2(B) = C;

However, if B contains duplicate values, A2 will not equal A.

[the cyclist]

On that last point ...

To be clear, no algorithm would guaranteed to replicate A, if there are duplicate values in B, because there is insufficient information to do so. But you can find an A that is consistent with A(B) = C.

Answer 2

[the cyclist]

C = [9     4     2     1     7     6     8     5     3     8    11];
A(B) = C