MATLAB: Double sum – vector (matrix) solution

Question

Hi!

I want to calculate the expression , where C and F – matrix (n x m). How can I do it without loops?

Thank you for your answers!

Answer 1

result = sum(C(:).*F(:));

or for later versions of MATLAB

result = sum(C.*F,'all');

This all assumes that the actual indexing starts at 1, not 0 as your formula above is written, since MATLAB uses 1-based indexing.