You can start by doing:

find_fit??

in Sage, which shows the source code.  As the documentation and code shows, 
this is mostly wrapping SciPy's scipy.optimize.leastsq function.  According 
to the SciPy documentation, this in turn is a wrapper for MINPACK's lmdif 
and lmder algorithms.  MINPACK is written in Fortran.  

My inclination for complex interpolation would be to start from scratch in 
Sage.

-M. Hampton



On Tuesday, July 17, 2012 2:57:28 AM UTC-5, Urs Hackstein wrote:
>
> Dear all,
>
> it seems that there is no routine to interpolate points 
> \in\mathbb{C}\times\mathbb{C} by functions f\colon\mathbb{ C}ยท\to\mathbb{C} 
> other than cubic splines until now, but I assume that it is not too 
> difficult to extend the existing routines. Thus  I wonder whether it is 
> possible to have a look on the source code of the routines find_fit and 
> complex_cubic_spline.
>
> Best regards,
>
> Urs Hackstein  
>

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