TITLE: Fit sum of exponentials
QUESTION [8 upvotes]: I am looking for an algorithm that fits a sum of exponential. for example I have something like this: $$y(x)=ae^{−bx}+c+de^{-fx}+h$$ and I want to find a,b,c,d,f and h values. Of this sum I have only the x and y values that belong to the curve represented by the previous model. Is there any paper that explains that?

REPLY [2 votes]: In order to answer to the comment from Yanqi Huang the method of fitting
$$y=be^{px}+ce^{qx}$$
is shown below. This is the same as in the first answer but with one line and column suppressed related to the suppression of the parameter $a$. There is no longer $a\:x^2$ in the linear integral equation.