I do have a matrix A(n,n) and a matrix B(m,n) m<n and want to create a third matrix C(n,n) where C(i,j)= k if A(i,j)<=B(k,j) && if A(i,j)>B(k-1,j).

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Youssef
Youssef on 13 Apr 2017
Commented: Youssef on 13 Apr 2017
The question is to rank the element of each vector (column) in A(n,n) according to the order in B(m,n) and get a new matrix with these ranks. It is a classification of elements by column : example:
A = [0 4 7 ;
1 3 5 ;
3 3 6 ]
B = [0 0 1 ;
3 1 2 ]
A(1,1)<=B(1,1)==>C(1,1)=1<---the index of zero in B;
A(2,1)>B(1,1)=0 && A(2,1)<=B(2,1) ==> C(2,1)=2
A(3,1)==B(2,1)> B(1,1)=0 ==> C(3,1)=2 and go next to the second column, then next one to get
C=[1 2 2, C(:,2),C(:,3)]
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Image Analyst
Image Analyst on 13 Apr 2017
I don't understand the rule(s). Why does A(1,1) get compared to B(1,1) but the second element of the first column of A get compared to two elements of B, and the third element of the first column of A gets compared to B(2,1) but then B(2,1) gets compared to B(1,1)? Why do you need to do this complicated thing?

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Accepted Answer

Santhana Raj
Santhana Raj on 13 Apr 2017
You can create three nested loops for i, j and k. and check for your condition:
if ((A(i,j)<=B(k,j) && (A(i,j)>B(k-1,j))
Take care that, when k=1, you cant check both the conditions and only the first conditions is to be applied.
Hope it helps.
  1 Comment
Youssef
Youssef on 13 Apr 2017
Thank you very much. I used a first condition to take care about the first row. I used the same code in 2015b version, and it gave me an error "Subscript indices must either be real positive integers or logicals.". But I run it in an old version (20114b) and it works!!!!

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