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 [Update] Comparision of 5 methods of interpolation to continuous tetration Gottfried Ultimate Fellow Posts: 787 Threads: 121 Joined: Aug 2007 02/04/2014, 12:31 AM (This post was last modified: 02/04/2014, 12:33 AM by Gottfried.) (02/01/2014, 12:09 PM)Gottfried Wrote: Now I've got my matrices for base b=1.44, near eta. What a mess! I don't have any idea - there is no obvious divergence in the power series with 64 terms. I also took z0=b^b ~ 1.69 as initial point; the curves originating from z0=1 were even more messed up. This is the picture base b=1.44 z0=1+0î - I've no explanation so far for the messed curves. Well, here is the same, but now taken with the "regular tetration" which uses the fixpoint-shift and works with power series without constant term.     At least, using the base b=1.3 the differences to the polynomial method are at order of 1e-7, so this picture might not be too distorted. Gottfried Gottfried Helms, Kassel « Next Oldest | Next Newest »

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