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polynomial interpolation to fractional iteration

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polynomial interpolation to fractional iteration
Gottfried Offline
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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]


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Gottfried Helms, Kassel
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polynomial interpolation to fractional iteration - by Gottfried - 12/22/2007, 05:28 PM

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