[R] nonlinear modeling with rational functions?

[Spencer Graves]

     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? 

     Thanks,
     Spencer Graves
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