(Again) fixpoint outside Period
#1
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 ?
Reply
#2
Well \( b^z = z \) has infinitely many solutions, so for some branch of \( \log_b \) there is always a fixed point.
Reply
#3
It seems the fixpoints imaginary value Goes down fast enough to stay in the strip. Nice.

Concluded from Lambert W.

Regards

Tommy1729
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  Exotic fixpoint formulas tommy1729 2 5,173 06/20/2023, 10:10 PM
Last Post: tommy1729
  Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation... Gottfried 23 93,324 10/20/2017, 08:32 PM
Last Post: Gottfried
  2 fixpoints , 1 period --> method of iteration series tommy1729 0 6,447 12/21/2016, 01:27 PM
Last Post: tommy1729
  Polygon cyclic fixpoint conjecture tommy1729 1 9,166 05/18/2016, 12:26 PM
Last Post: tommy1729
  The " outside " fixpoint ? tommy1729 0 5,994 03/18/2016, 01:16 PM
Last Post: tommy1729
  2 fixpoint pairs [2015] tommy1729 0 6,345 02/18/2015, 11:29 PM
Last Post: tommy1729
  [2014] The secondary fixpoint issue. tommy1729 2 12,984 06/15/2014, 08:17 PM
Last Post: tommy1729
  Simple method for half iterate NOT based on a fixpoint. tommy1729 2 12,825 04/30/2013, 09:33 PM
Last Post: tommy1729
  2 fixpoint failure tommy1729 1 8,938 11/13/2010, 12:25 AM
Last Post: tommy1729
  abs f ' (fixpoint) = 0 tommy1729 2 13,017 09/09/2010, 10:13 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)