How to generalize the fixed point iteration

  • Thread starter Charles49
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  • #1
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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
$$\Lambda(x,y)=h(x,y).$$
 

Answers and Replies

  • #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.
 
  • #3
Excellent info can be found about these kinds of boards. Thanks folks.
 
  • #4
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HallsofIvy,

What a simple solution!

Thanks
 

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