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Iteration functions for Fixed Point method

  1. Apr 6, 2012 #1
    Hi there. I need to find some iteration functions for [itex]x - 2\frac{sin(x)}{cos(x)}=0[/itex], as [itex]g(x)=2\frac{sin(x)}{cos(x)}[/itex] does not converge. I can't find any others, maybe I didn't quite undertood how they're built. Any help will be appreciated

  2. jcsd
  3. Apr 7, 2012 #2


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    Staff: Mentor

    You could check [itex]g(x)=arcsin(\frac{x \cos(x)}{2})[/itex] and [itex]g(x)=arccos(\frac{2 \sin(x)}{x})[/itex] and g(x)=arctan(x/2)? That is just your formula, with different ways to isolate an x at one side.
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