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keisanHigh-precision calculations for everyday life and work

Halley’s Method

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Finds a solution x to f(x)=0 using the specified function f(x), its 1st derivative f'(x), and its 2nd derivative f''(x).
f(x)
f'(x)
f''(x)
x0
Initial value
n
Maximum number of iterations
\(\normalsize Halley's\ method\\ (1)\ x_{n+1}=x_n-{\large\frac{2f(x_n)f'(x_n)}{2(f'(x_n))^2-f(x_n)f''(x_n)}}\\\)

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