How to Fit Nonlinear Equations in MATLAB?

[Haorong Wu]

TL;DR

Fitting nonlinear equations with same parameters

Hello. I am trying to fit some nonlinear equations.

I have some data $\vec \lambda, \vec n, \vec \kappa$. Now I would like to use them to fit two equations $$n=n(\lambda ; \alpha, \beta, \gamma)$$ $$\kappa=\kappa(\lambda ; \alpha, \beta, \gamma)$$ where $\alpha, \beta, \gamma$ are the parameters to be fitted.

Which toolbox or command should I refer to?

I have tried cftool. But it can only fit one equation. I googled "Fitting nonlinear equations matlab". It seems most of the results are fitting one equation.

Looking for some advice, while I am keeping searching for other keywords.

Thanks!

 

[jedishrfu]

Try searching with “MATLAB fitting system of equations”

I found this suggestion:

https://www.mathworks.com/matlabcen...tem-of-equations-with-3-independent-variables

 

[Haorong Wu]

Try searching with “MATLAB fitting system of equations”

I found this suggestion:

https://www.mathworks.com/matlabcen...tem-of-equations-with-3-independent-variables

Thanks, @jedishrfu !