Rational functions: a linear model?

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Article #470

#470

From: Ayman I. Kayssi
Date: Sun, 11 Oct 1992 15:35

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I'm trying to fit data to a rational function. What is the transformation
that I need to make to have a linear model?
y = (a0 + a1*x + a2*x^2 + ... + am*x^m)/(1 + b1*x + b2*x^2 + ... + bn*x^n)
means that:
y + b1*y*x + b2*y*x^2 + ... + bn*y*x^n = a0 + a1*x + ... + am*x^m
or:
y = a0 + a1*x + ... + am*x^m + b1*(-y)*x + b2*(-y)*x^2 + ... + bn*(-y)*x^n

I tried this and I'm not getting the right answers...is this the right 
way to do it?

--
Ayman I. Kayssi                               |    ayman@eecs.umich.edu
EECS Department                               +------------------------
University of Michigan                        |          (313) 764-8033

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Path: arc1-ca.pugleaf.net!sparky!uunet!caen!umeecs!eecs.umich.edu!ayman
From: ayman@eecs.umich.edu (Ayman I. Kayssi)
Subject: Rational functions: a linear model?
Message-ID: <1992Oct11.153538.12821@zip.eecs.umich.edu>
Lines: 15
Sender: news@zip.eecs.umich.edu (Mr. News)
Organization: ACAL, EECS, University of Michigan, Ann Arbor
Date: Sun, 11 Oct 1992 15:35:18 GMT