Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
the inconsistency depending on fixpoint-selection
#17
Gottfried Wrote:
Code:
G0=                                          |G1=                                                
  1    .     .      .      .       .         |    1     .     .       .      .       .      
  0  3/2     .      .      .       .         |    0   3/2     .       .      .       .      
  0  1/4   9/4      .      .       .         |    0  -1/4   9/4       .      .       .      
  0    0   3/4   27/8      .       .         |    0     0  -3/4    27/8      .       .      
  0    0  1/16  27/16  81/16       .         |    0     0  1/16  -27/16  81/16       .      
  0    0     0   9/32   27/8  243/32         |    0     0     0    9/32  -27/8  243/32

But Gottfried, you didnt use the translation! For applying the regular iteration you have to *move* the fixed point to zero. The function graph is just translated so that the fixed point is situated at 0. No stretching or whatever is allowed. Here that would be



This is because regular half iteration is characterized as *the* half iteration that has at the fixed point the slope . If you change the slope at the fixed point by the transformation, and you do by your transformation
,
it is no more *regular* half iteration.
Reply


Messages In This Thread
RE: the inconsistency depending on fixpoint-selection - by bo198214 - 03/07/2008, 10:56 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation... Gottfried 23 55,632 10/20/2017, 08:32 PM
Last Post: Gottfried
  (Again) fixpoint outside Period tommy1729 2 5,882 02/05/2017, 09:42 AM
Last Post: tommy1729
  Polygon cyclic fixpoint conjecture tommy1729 1 4,832 05/18/2016, 12:26 PM
Last Post: tommy1729
  The " outside " fixpoint ? tommy1729 0 3,110 03/18/2016, 01:16 PM
Last Post: tommy1729
  2 fixpoint pairs [2015] tommy1729 0 3,442 02/18/2015, 11:29 PM
Last Post: tommy1729
  [2014] The secondary fixpoint issue. tommy1729 2 6,781 06/15/2014, 08:17 PM
Last Post: tommy1729
  Simple method for half iterate NOT based on a fixpoint. tommy1729 2 6,756 04/30/2013, 09:33 PM
Last Post: tommy1729
  2 fixpoint failure tommy1729 1 5,028 11/13/2010, 12:25 AM
Last Post: tommy1729
  abs f ' (fixpoint) = 0 tommy1729 2 7,718 09/09/2010, 10:13 PM
Last Post: tommy1729
  [Regular tetration] [Iteration series] norming fixpoint-dependencies Gottfried 11 24,549 08/31/2010, 11:55 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)