MATLAB: How To Calculate Double Summation In Matlb

matrixsummation

Hi,
Can anyone help me in performing double summation of matrix elements using Matlab of the following equation:
Xc=[Sum(i=1 to 10)Sum(j=1 to 10){I(i,j)-I(m)}*H(i,j)*x]/[Sum(i=1 to 10)Sum(j=1 to 10){I(i,j)-I(m)}*H(i,j)]
Yc=[Sum(i=1 to 10)Sum(j=1 to 10){I(i,j)-I(m)}*H(i,j)*y]/[Sum(i=1 to 10)Sum(j=1 to 10){I(i,j)-I(m)}*H(i,j)].
Where: Sum represents summation,
I(i,j): Consider a 10×10 random matrix,
I(m): Middle element of the matrix I(i,j),
x & y: Co-ordinate of the matrix I(i,j),
H(i,j): H(i,j)=1; if I(i,j)>=I(m) 0; if I(i,j)<I(m).
Thanking You!

Best Answer

first thing is, how would you define a middle element in a 10*10 array.
Sum(i=1 to 10)Sum(j=1 to 10){I(i,j)-I(m)}*H(i,j)}
Btw, look at the above statement carefully, what you are doing is nothing but multiplying corresponding elements of 2 matrices and then summing up all the elements.you can accomplish this by:
mat=(I-I(m)).*H.*x;
summation=sum(mat(:));
Related Question