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Re: IDL fitting of piecewise continuous function [message #76117 is a reply to message #76116]

Tue, 17 May 2011 12:21

Jeremy Bailin
Messages: 618
Registered: April 2008

Senior Member

Craigh Markwardt's MPFIT (and its varients) is most people's preferred fitting routine:

http://www.physics.wisc.edu/~craigm/idl/fitting.html

You define your own function to feed in, so it can have whatever behaviour you want. To ensure continuity, I would recommend re-parametrizing the functional form so that it is continuous by definition. In this, case, A and B aren't actually independent, so calculate B in terms of A by setting them equal at x=x_m, which gives
B = A x_m^(3/2)

So you're actually fitting:

f(x) = A x_m^(1/2) x^(1/2) x < x_m
A x_m^(3/2) x^(-1) x > x_m

-Jeremy.

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[Message index]

		Re: IDL fitting of piecewise continuous function By: Craig Markwardt on Tue, 17 May 2011 19:35
		Re: IDL fitting of piecewise continuous function By: Jeremy Bailin on Tue, 17 May 2011 12:53
		Re: IDL fitting of piecewise continuous function By: Sasha Singh on Tue, 17 May 2011 12:26
		Re: IDL fitting of piecewise continuous function By: Jeremy Bailin on Tue, 17 May 2011 12:24
		Re: IDL fitting of piecewise continuous function By: Jeremy Bailin on Tue, 17 May 2011 12:21

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