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 -- View this message in context: http://r.789695.n4.nabble.com/functions-for-polynomial-and-rational-interplation-tp3595334p3595334.html Sent from the R help mailing list archive at Nabble.com.
Bill.Venables at csiro.au
2011-Jun-14 01:53 UTC
[R] functions for polynomial and rational interplation?
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-bounces at r-project.org [mailto:r-help-bounces at r-project.org] On Behalf Of dslowik Sent: Tuesday, 14 June 2011 10:34 AM To: r-help at 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 -- View this message in context: http://r.789695.n4.nabble.com/functions-for-polynomial-and-rational-interplation-tp3595334p3595334.html Sent from the R help mailing list archive at Nabble.com. ______________________________________________ R-help at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.