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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
    $$\Lambda(x,y)=h(x,y).$$
     
  2. jcsd
  3. Aug 15, 2012 #2

    HallsofIvy

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    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
    HallsofIvy,

    What a simple solution!

    Thanks
     
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