Thread Rating:
  • 1 Vote(s) - 5 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation...
#16
ive noticed we used both the terms vandermonde and carleman matrix.

ofcourse its carleman matrix and not vandermonde !

also note that the 2 matrix-method number must sum to 1 !!

0.580243966210
+
0.41975603379

=0.9999999999 = 1

simply because 1/(1+x) + 1/(1+(1/x)) = 1.

- which also shows the importance of the determinant !! -

because of this sum = 1 , the matrix methods cannot match the serial summation.(*)

this is similar to my determinant argument made before , just an equivalent restatement.

* the sum of both serials is related to the equation f(g(x)) = f(x) , whereas the sum of matrix methods just gives 1 for all x.
Reply


Messages In This Thread
RE: Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation... - by tommy1729 - 06/06/2011, 11:01 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  (Again) fixpoint outside Period tommy1729 2 2,090 02/05/2017, 09:42 AM
Last Post: tommy1729
  Polygon cyclic fixpoint conjecture tommy1729 1 1,955 05/18/2016, 12:26 PM
Last Post: tommy1729
  The " outside " fixpoint ? tommy1729 0 1,349 03/18/2016, 01:16 PM
Last Post: tommy1729
  2 fixpoint pairs [2015] tommy1729 0 1,610 02/18/2015, 11:29 PM
Last Post: tommy1729
  [2014] The secondary fixpoint issue. tommy1729 2 3,299 06/15/2014, 08:17 PM
Last Post: tommy1729
  Simple method for half iterate NOT based on a fixpoint. tommy1729 2 3,063 04/30/2013, 09:33 PM
Last Post: tommy1729
  Iteration exercises: Lucas-Lehmer-test and Schröder-function Gottfried 0 2,559 04/04/2012, 06:17 AM
Last Post: Gottfried
  Iteration series: Different fixpoints and iteration series (of an example polynomial) Gottfried 0 2,667 09/04/2011, 05:59 AM
Last Post: Gottfried
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 10 15,526 06/09/2011, 05:56 AM
Last Post: bo198214
  2 fixpoint failure tommy1729 1 2,668 11/13/2010, 12:25 AM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)