Gottfried Wrote:You said it several times, that my approach is just the regular tetration; but since I've dealt with something more (most prominently infinite series of tetration/its associated matrices), for which I've not seen a reference before although such generalizations are smehow obvious, I could not be without doubt, that I was introducing something going away.
Nono, I didnt say that it is just regular tetration, but it is regular tetration if you do it at a fixed point. Strangely we may have different opinions about the interestingness of the application types of this method. I am fascinated to apply this method to non-fixed points, e.g. for the case \( b>e^{1/e} \) while at fixed points the case is already explored by the regular iteration and yields no new results. While you, (if I understand a discussion right, that we had some time ago on this forum), whom introduced the method to this forum, rather are fascinated with finding patterns in the matrices, which rather occur at fixed points.
Quote:This is a recursive approach, very simple and I could imagine it implements just the g- and f- recursions in your post.Wow, yes this may indeed be, however I am currently too lazy
to check this in detail. But at least regarding our comparison here accutely supports that they are equal.