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Iteration exercises: f(x)=1/(1+x)
#1
Hi friends -

just for my own exercise I've looked at the iteration of f(x) = 1/(1+x).
I've posed my discussion in a sci.math-thread with some interesting answers and have put things together in an article
iteration 1/(1+x)

I asked in sci.math, whether concurring methods for continuous iteration are possible; but with that simple function it seems, that all formulae including the matrix-diagonalization-method (and regular iteration with fixpoint-shift) lead (exactly) to the same results.
I'd still like to see, whether there are other iteration-approaches for this function to improve my understanding of the more general whereabouts an possible limitations of the regular iteration.

Gottfried
Gottfried Helms, Kassel
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Iteration exercises: f(x)=1/(1+x) - by Gottfried - 01/30/2009, 09:14 AM

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