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Curve fitting?
http://forum.alglib.net/viewtopic.php?f=2&t=563
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Author:  slap [ Mon Apr 16, 2012 7:45 pm ]
Post subject:  Curve fitting?

Hi,

I'm completely new to this forum so please excuse me if my questions are very basic.
My interest in this amazing libary is currently driven by the following:

At present I use Excel's Solver to fit X-ray diffraction patterns of pure phases to other patterns which are mixtures of phases.

The patterns consist of thousands of data points (x,y) and frequently a dozen or more individual pure phase patterns may be required to fit the pattern of a mixture.

The mixture patern is simulated as a weighted sum of pure patterns, the best fit being obtained by minimising some objective function.

I have read through quite a few posts on this forum to see if I can identify what method would be preferable for this type of problem, (I wondered if the 'lsfit subpackage' was the one I should try) but there appear to be so many variations, I don't know how to identify the best approach.

I also have no idea how to code it (vb.net is the language I have some experience with) so any advice there would be welcome, but first and foremost can someone point me to the best method and variant thereof that I should be looking at for this type of problem?

many thanks

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