Fitting of complex values

• To: mathgroup at smc.vnet.net
• Subject: [mg31741] Fitting of complex values
• From: Ioan Alexandre Romoscanu <romoscanu at imes.mavt.ethz.ch>
• Date: Thu, 29 Nov 2001 00:14:27 -0500 (EST)
• Organization: Swiss Federal Institute of Technology (ETHZ)
• Sender: owner-wri-mathgroup at wolfram.com

```Hi all

I have a question about nonlinear fdata fitting with Mathematica.

If one looks for parameters of a (real) function, with x as variable
and, say, {a,b} as parameter, one efficiently uses (from the help file)

NonlinearFit[data, FitFunction[x,a,b], x, {a,b}]

This works fine, but it requires the data and the FitFunction to be
*real* values.

Is there any way to fit a set of complex data with a complex
FitFunction, like, say,

data={{1,2+3i},...}
FitFunction=(a x+ i b x)/a

The algorithm implemented in NonlinearFit[ ] does not accept this. There
should be a way though, for complex values are still values (especially
in Mathematica, which nicely deals with complex number in general)

Please excuse me if I miss an important point.

per email too)

Alex.
--
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```

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