How to solve an equation from 2 different matrix..?

I have a problem when i want to vectorize an equation, and the elements of the equation contain 2 different matrix with 2 different size. for example :

      P   Q   R   S   T
A = [ 1   3   21  5   20
      2   1   15  1   25
      3   5   7   3   21
      4   2   6   6   28
      5   4   5   7   16
      6   2   8   10  18
      7   3   12  9   12
      8   1   7   4   23];

      P   P    W
     (i) (j)
B = [ 1   2   0.5
      1   8   0.8
      2   1   0.6
      3   4   0.22
      3   7   0.13
      4   5   0.16
      4   6   0.58
      5   6   0.21
      6   7   0.20
      7   8   0.66];

and the equation is :

I've already try with this :

n = length(A(:,1));
for i = 1:n
for j = 1:i
 x = sum((w*(Q(i)-R(j))*(Q(j)-R(i)))/S(i)-T(j));
end
end

but the result is "Index exceeds matrix dimensions." Does anyone have the solution...??

thanks..

[Jan]

Well formatted text and code, very nice formula, shown what has been tried already - this is simply a good question. +1

Does the value of B matter anywhere in the equation?

Answer 1

[Jan]

The code for the posted equation:

x = 0;
n = size(A, 1);
for i = 1:n
  for j = 1:n
    x = x + sum((w*(Q(i)-R(j))*(Q(j)-R(i)))/S(i)-T(j));
  end
end

But this does not change anything for the "Index exceeds matrix dimensions" problem. Please post the complete error message and finc out which of the array fails:

dbstop if error
% Then run the program until the error occurres
disp(i)
disp(j)
disp(size(Q))
disp(size(R))
disp(size(S))
disp(size(T))

[Noru]

I already fix my vector.

I think i found where is my mistake, I didn't use

x = 0;
n = size(A, 1);

and in the equation i didn't use "x +..." before sum((...

if i may ask, why i have to add "x +..." before sum((... ?? that thing is really new for me..

thank you for your solution..