The problem is the following :(adsbygoogle = window.adsbygoogle || []).push({});

I have some measured data's obtained when measuring a physical process. Let's call these : y_{E,L}where E and L are 2 physical parameters of the experiment (an energy and a length).

I also know that :

$$\frac{y_{E,L}}{\sum_{k=1} ^{k=100} {\epsilon_{E,L} (k * v) * f(k*v|a,b,c) }} = constant$$ for all E, L.

where f(x|a,b,c) is a known, non-linear, parametrized function with 3 parameters that needs a fit : a, b, c. whose I know the expression of (I don't write it here because its quite long with some exponentials but I hope you get the idea).

I have no analytical expression for ##\epsilon_{E,L}(x)## but I can calculate separately each of the 100 different ##\epsilon_{E,L}(k*v)## values so I know the value of all ##\epsilon_{E,L}(k*v)## above for all E and L.

What algorithm or calculation method should I use to get a best-fit for a,b,c ?

edit : trying to get the latex code working but smthing's wrong -_-' <Moderator's note: fixed>

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# I Finding value of parameters to fit some data

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