Login

tommy1729 · 02/03/2017, 01:27 PM

If the base b is sufficiently Large then log_b(z) = z has no solution right ?

So how does that work out for fixpoint methods ?

JmsNxn · 02/03/2017, 08:00 PM

Well $b^z = z$ has infinitely many solutions, so for some branch of $\log_b$ there is always a fixed point.

tommy1729 · 02/05/2017, 09:42 AM

It seems the fixpoints imaginary value Goes down fast enough to stay in the strip. Nice.

Concluded from Lambert W.

Regards

Tommy1729

Possibly Related Threads...
Thread		Author	Replies	Views	Last Post
	Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation...	Gottfried	23	48,351	10/20/2017, 08:32 PM Last Post: Gottfried
	2 fixpoints , 1 period --> method of iteration series	tommy1729	0	3,033	12/21/2016, 01:27 PM Last Post: tommy1729
	Polygon cyclic fixpoint conjecture	tommy1729	1	4,021	05/18/2016, 12:26 PM Last Post: tommy1729
	The " outside " fixpoint ?	tommy1729	0	2,627	03/18/2016, 01:16 PM Last Post: tommy1729
	2 fixpoint pairs [2015]	tommy1729	0	2,939	02/18/2015, 11:29 PM Last Post: tommy1729
	[2014] The secondary fixpoint issue.	tommy1729	2	5,876	06/15/2014, 08:17 PM Last Post: tommy1729
	Simple method for half iterate NOT based on a fixpoint.	tommy1729	2	5,713	04/30/2013, 09:33 PM Last Post: tommy1729
	2 fixpoint failure	tommy1729	1	4,366	11/13/2010, 12:25 AM Last Post: tommy1729
	abs f ' (fixpoint) = 0	tommy1729	2	6,833	09/09/2010, 10:13 PM Last Post: tommy1729
	[Regular tetration] [Iteration series] norming fixpoint-dependencies	Gottfried	11	21,277	08/31/2010, 11:55 PM Last Post: tommy1729