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>

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Finding value of parameters to fit some data

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Finding value parameters | Date |
---|---|

Find indefinite integral function, if definite integral value is know | May 19, 2014 |

Why do we use anti-derivatives to find the values of definite integrals? | Jan 24, 2013 |

Need help in finding extreme values | Jul 1, 2012 |

Find the maximum value of a summation | Jul 18, 2011 |

Finding this set of values for x | Jan 1, 2008 |

**Physics Forums - The Fusion of Science and Community**