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Re: [Help-gsl] polynomial fitting using nonlinear least-squares fitting

From: Brian Gough
Subject: Re: [Help-gsl] polynomial fitting using nonlinear least-squares fitting
Date: Fri, 08 Dec 2006 10:56:59 +0000
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv: Gecko/20060815 SeaMonkey/1.0.4

Lucas Grijander wrote:
Hi all!

I have to model some 3D data by using multidimensional polynomials. I'm trying to use the nonlinear least-squares fitting functions from GSL. I'm not sure if it is the best option, but I'm having problemes of convergence. The polynomial function should be like this:

Z = f(X,Y)
Z = c0 + c1X + c2Y + c3X2 + c4Y2 + .....

How should I define the function to minimize in the code? the order of the polynomial is defined by the user, and it can be different for X and Y.

You can use the linear least-squares for this (the function is linear in the coefficients c which is what matters). There is a quadratic example in the linear least-squares chapter of the manual.

Brian Gough
(GSL Maintainer)

Network Theory Ltd,
Publishing the GSL Manual -

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