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
	Exotic fixpoint formulas	tommy1729	2	4,704	06/20/2023, 10:10 PM Last Post: tommy1729
	Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation...	Gottfried	23	90,716	10/20/2017, 08:32 PM Last Post: Gottfried
	2 fixpoints , 1 period --> method of iteration series	tommy1729	0	6,248	12/21/2016, 01:27 PM Last Post: tommy1729
	Polygon cyclic fixpoint conjecture	tommy1729	1	8,839	05/18/2016, 12:26 PM Last Post: tommy1729
	The " outside " fixpoint ?	tommy1729	0	5,799	03/18/2016, 01:16 PM Last Post: tommy1729
	2 fixpoint pairs [2015]	tommy1729	0	6,152	02/18/2015, 11:29 PM Last Post: tommy1729
	[2014] The secondary fixpoint issue.	tommy1729	2	12,519	06/15/2014, 08:17 PM Last Post: tommy1729
	Simple method for half iterate NOT based on a fixpoint.	tommy1729	2	12,381	04/30/2013, 09:33 PM Last Post: tommy1729
	2 fixpoint failure	tommy1729	1	8,631	11/13/2010, 12:25 AM Last Post: tommy1729
	abs f ' (fixpoint) = 0	tommy1729	2	12,587	09/09/2010, 10:13 PM Last Post: tommy1729