Newton’s Method f(x)
Specify f(x) to find x such that f(x)=0. Suitable when the first derivative is unknown.
| \(\normalsize Newton\ method\\ (1)\ x_{n+1}=x_n-{\large\frac{f^2(x_n)}{f(x_n+f(x_n))-f(x_n)}}\\ \hspace{30px}\Biggl[f'(x)\approx{\large\frac{f(x+f(x))-f(x)}{f(x)}}\Biggr]\\\) |
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