Content deleted Content added
→Halley's formula: typo |
|||
Line 10:
Then solving <math>\,h(z)=0</math> yields the iteration
:<math>x_{n+1}=x_{n}-\frac{f(x_n)}{f'(x_n)} \left({\frac{1}{1-\frac{f(x_n)f''(x_n)}{2(f'(x_n))^2}}}\right).</math>
This is referred to as
This ''geometrical interpretation'' was derived by Gander(1978), where the equivalent iteration also was derived by apply Newton's method to
:<math>g(x)=\frac{f(x)}{\sqrt{f'(x)}}=0.</math>
| |||