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Solving tetration for base 0 < b < e^-e
#9
(09/12/2009, 08:50 AM)mike3 Wrote: So it would seem that the regular iteration is not applicable to this case... (as I suspected) What about the other methods, e.g. the continuum-product formula?

There are two other methods. Intuitive slog and matrix power tetration.
The intuitive slog seems not applicable to bases (see Andrew's post about the base range of the intuitive slog).

Then I tried the matrix power method for base 0.04. It converges, however the result is not a superexponential. I plot the sexp on (0,1) (lower curve) and b^sexp(x) on (-1,0). They should be the same, but differ remarkably. The curve is nearly the same for matrix size 30 and matrix size 40.
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RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 03:48 PM

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