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Iterability of exp(x)-1
#24
Good, it looks linear, should make it easy to write a function to compute a radius of initial convergence, as well as exactly how many terms of the power series are required to reach a desired level of precision. I plan to stay well within half the radius of initial convergence (probably 1/4th to be safe), so this is useful info.

By the way, have you looked at quarter iterates to make sure there aren't any surprises lurking? I don't think it'll matter (might cause the oscillations to shift, but shouldn't affect the overall linearity too badly), but it'd be good to know. Once I'm up and running with a good math library, I can run these tests myself, of course...

By the way, how do rate PARI/gp versus Sage. Should I just go with Sage? I'm already trying to learn PARI/gp (I'm trying out Gottfried's Paritty interface), but it's slow going.
~ Jay Daniel Fox
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Messages In This Thread
Iterability of exp(x)-1 - by bo198214 - 08/11/2007, 09:33 PM
RE: Iterability of exp(x)-1 - by Daniel - 08/11/2007, 09:49 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/11/2007, 11:42 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/12/2007, 09:07 AM
RE: Iterability of exp(x)-1 - by jaydfox - 08/12/2007, 04:41 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 08:54 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/11/2007, 10:25 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 09:06 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 09:13 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 09:16 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 09:33 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 10:00 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:05 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 10:11 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:22 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:00 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/13/2007, 10:29 PM
RE: Iterability of exp(x)-1 - by andydude - 08/13/2007, 10:30 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/13/2007, 10:39 PM
RE: Iterability of exp(x)-1 - by andydude - 08/15/2007, 08:36 AM
RE: Iterability of exp(x)-1 - by bo198214 - 08/15/2007, 09:21 AM
RE: Iterability of exp(x)-1 - by andydude - 08/15/2007, 08:40 PM
RE: Iterability of exp(x)-1 - by jaydfox - 08/15/2007, 08:54 AM
RE: Iterability of exp(x)-1 - by jaydfox - 08/15/2007, 08:53 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/15/2007, 09:13 PM
RE: Iterability of exp(x)-1 - by bo198214 - 08/20/2007, 04:14 PM
RE: Iterability of exp(x)-1 - by andydude - 09/05/2007, 08:15 PM
RE: Iterability of exp(x)-1 - by bo198214 - 09/07/2007, 02:45 PM
RE: Iterability of exp(x)-1 - by Gottfried - 03/15/2008, 09:13 AM
RE: Iterability of exp(x)-1 - by bo198214 - 03/15/2008, 01:14 PM
RE: Iterability of exp(x)-1 - by Gottfried - 03/15/2008, 08:25 PM
RE: Iterability of exp(x)-1 - by Gottfried - 03/18/2008, 10:14 AM



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