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→Iterative methods: Fixed grammar and typo Tags: Mobile edit Mobile app edit Android app edit |
→Iterative methods: added another possibile option for g(x) Tags: Mobile edit Mobile app edit Android app edit |
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As an example of converting <math> f(x)=0 </math> to <math> x=g(x) </math>, if given the function <math> f(x)=x^2+x-1 </math>, we will rewrite it as one of the following equations.
:<math> x_{n+1}=(1/x_n) - 1 </math>,
:<math> x_{n+1}=1/(x_n+1) </math>,
:<math> x_{n+1}=1-x_n^2 </math>,
:<math> x_{n+1}=x_n^2+2x_n-1 </math>, or
:<math> x_{n+1}=\pm \sqrt{1-x_n} </math>.
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