Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to generalize the fixed point iteration

  1. Aug 14, 2012 #1
    If we want to solve $$f(x)=0$$ we can re-write the equation as
    $$g(x)=x$$ and use the fixed point method, i.e, $$x_{n+1}=g(x_n)$$ starting with a guess $$x_0.$$ I was wondering if something similar can be done with
  2. jcsd
  3. Aug 15, 2012 #2


    User Avatar
    Staff Emeritus
    Science Advisor

    Yes, of course. Just think of (x, y) as a single two dimensional variable, z and solve g(z)= z.
  4. Aug 15, 2012 #3
    Excellent info can be found about these kinds of boards. Thanks folks.
  5. Aug 15, 2012 #4

    What a simple solution!

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: How to generalize the fixed point iteration
  1. Fixed Point Theorems (Replies: 12)