Neville's algorithm is not an "improvement" on Lagrange interpolation, it is 
simply one way of calculating it that has some useful properties.  The result 
is still the Lagrange interpolating polynomial, though, with all its flaws.

Implementing Neville's algorithm is fairly easy using the PolynomF package, but 
I'm not sure if it really offers much advantage.  YMMV.

Bill Venables. 

-----Original Message-----
From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org] On 
Behalf Of dslowik
Sent: Tuesday, 14 June 2011 10:34 AM
To: r-help@r-project.org
Subject: [R] functions for polynomial and rational interplation?

Are there implementations of, e.g. Neville's algorithm, for interpolating
polynomials through some data points? Nevilles' is an improvement on
Lagrange interpolation. And how about interpolating rational functions? I
could not find anything at rseek.org or at crantastic.org.
thanks

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