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[Update] Comparision of 5 methods of interpolation to continuous tetration
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Hi Sheldon -

thanks for your comment. What remains for me is, whether my impression, that the Kneser-method and the polynomial-method ("quick&dirty-eigendecomposition") approximate if I increase the size of the truncation of the Carlemanmatrix. That would be a really remarkable statement!

It would raise the subsequent question, whether the triangular Carleman-matrix, which results from the fixpoint-shift and gives the basis for the regular tetration, or its triangular eigenmatrices, simply need some completion factor, perhaps something like the integral in the Ramanujan-summation for the divergent series to agree with the two other results... I am in search of such a thing for long but with no avail so far - perhaps from the current observation one can get a hint where to dig?

Gottfried
Gottfried Helms, Kassel
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RE: [Update] Comparision of 5 methods of interpolation to continuous tetration - by Gottfried - 10/15/2013, 12:00 AM

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