[R] nonlinear modeling with rational functions?

Tamas Papp tpapp at axelero.hu
Thu Jun 17 08:40:13 CEST 2004

On Wed, Jun 16, 2004 at 10:28:39AM -0500, Spencer Graves wrote:

>      Rational functions (ratios of polynomials) often provide good 
> approximations to many functions.  Does anyone know of any literature on 
> nonlinear modeling with rational functions, sequential estimation, 
> diagnostics, etc.?  I know I can do it with "nls" and other nonlinear 
> regression functions, but I'm wondering what literature might exist 
> discussing how a search for an appropriate rational approximation? 

The book

  author =       {Judd, Kenneth L},
  title =        {Numerical methods in economics},
  publisher =    {MIT Press},
  year =         1998

provides some information about constructing rational approximations
(aka Padé approximations) for functions with known algebraic forms,
but not for the estimation from data.

However, the text has some references, in particular

Cuyt, A and L Wuytack. 1986. Nonlinear Numerical Methods: Theory and
Practice. Amsterdam: North-Holland

which you might find helpful.



Tamás K. Papp
E-mail: tpapp at axelero.hu
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