01/30/2009, 09:14 AM

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

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