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Re: Gaussian fit - Singular matrix in Invert_RtR

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From Hans-Bernhard Bröker <HBBroeker@t-online.de>
Newsgroups comp.graphics.apps.gnuplot
Subject Re: Gaussian fit - Singular matrix in Invert_RtR
Date Wed, 27 Apr 2016 22:29:27 +0200
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Am 27.04.2016 um 19:38 schrieb Andrew Finlay:

> I'm trying to write code to automatically fit binned simulation data

Bad idea.  'fit' is not a tool to be used blindly, or automatically.

Non-linear least-squares fitting needs guidance and consideration of the 
condition of the input, or you'll run into numerical instabilities much 
of the time.

So let's see why this particular fit failed.  Well, for starters the 
data is quite clearly not Gaussian at all.  It's highly asymmetrical, 
and the tails are way to wide for compared to the FWHM.

Trying to fit a Gaussian to that data is an exercise in futility.

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Thread

Gaussian fit - Singular matrix in Invert_RtR Andrew Finlay <andrewlfinlay@gmail.com> - 2016-04-27 10:38 -0700
  Re: Gaussian fit - Singular matrix in Invert_RtR Hans-Bernhard Bröker <HBBroeker@t-online.de> - 2016-04-27 22:29 +0200
    Re: Gaussian fit - Singular matrix in Invert_RtR Andrew Finlay <andrewlfinlay@gmail.com> - 2016-04-27 14:20 -0700
      Re: Gaussian fit - Singular matrix in Invert_RtR Hans-Bernhard Bröker <HBBroeker@t-online.de> - 2016-04-28 00:51 +0200
  Re: Gaussian fit - Singular matrix in Invert_RtR boettcher@physik.uni-kiel.de (Stephan Böttcher) - 2016-04-28 07:30 +0200

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