All negative number on bottom

How i can sort matrix of numbers and put negative on bottom respecting the order of positive elements.

A = [1,-3,4;-2,5,6;4,2,1]
newA = [1,5,4;4,2,6;-2,-3,1]

Answer 1

[Stephen23]

>> A = [1,-3,4;-2,5,6;4,2,1]
A =
   1  -3   4
  -2   5   6
   4   2   1
>> S = size(A);
>> [~,R] = sort(A<0,1);
>> C = ones(S(1),1)*(1:S(2));
>> X = sub2ind(S,R,C);
>> A(X)
ans =
   1   5   4
   4   2   6
  -2  -3   1

[Andrea Stevanato]

Could you give me a simple explanation of why it works?

[Stephen23]

@Andrea Stevanato: basically we first detect the locations of the negative values, sort those locations, then create linear indices from those sorted locations. Lets have a look:

>> A = [1,-3,4;-2,5,6;4,2,1]
A =
   1  -3   4
  -2   5   6
   4   2   1
>> S = size(A);
>> A<0 % logical index of negative values.
ans =
  0  1  0
  1  0  0
  0  0  0
>> [~,R] = sort(A<0,1) % sort the columns of the logical index, returns row indices of each sorted column.
R =
   1   2   1
   3   3   2
   2   1   3
>> C = ones(S(1),1)*(1:S(2)) % define column indices.
C =
   1   2   3
   1   2   3
   1   2   3
>> X = sub2ind(S,R,C) % linear indices from row and column indices.
X =
   1   5   7
   3   6   8
   2   4   9
>> A(X) % get elements of A using linear indices.
ans =
   1   5   4
   4   2   6
  -2  -3   1