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 polynomial interpolation to fractional iteration Gottfried Ultimate Fellow Posts: 787 Threads: 121 Joined: Aug 2007 12/22/2007, 05:28 PM (This post was last modified: 12/23/2007, 01:13 PM by Gottfried.) Hi - triggered by a discussion in sci.math I tried to explain to someone, how one could naively use interpolation to obtain a version of continuous tetration. For simplicitiness I used U-tetration (x -> exp(x)-1) In a second shot I made this a bit more general and - whoops - it comes out to be the matrix-method in disguise (but now with a bit more general approach). Nothing new to the experienced tetration-diggers here, but maybe still a nice exercise. Happy christmas to all - Gottfried Interpolation [update 4 23.12.2007] Attached Files   polynomial_interpolation.pdf (Size: 64.05 KB / Downloads: 959) Gottfried Helms, Kassel « Next Oldest | Next Newest »

 Messages In This Thread polynomial interpolation to fractional iteration - by Gottfried - 12/22/2007, 05:28 PM RE: polynomial interpolation to fractional iteration - by andydude - 12/23/2007, 05:27 AM RE: polynomial interpolation to fractional iteration - by Gottfried - 12/23/2007, 10:04 AM RE: polynomial interpolation to fractional iteration - by Gottfried - 12/23/2007, 03:40 PM

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