# Halley's method Calculator

## Calculates the root of the equation f(x)=0 from the given function f(x) and its derivatives f’(x) and f’’(x) using Halley’s method.

 f(x) f'(x) f''(x) initial solutionx0 maximum repetition n102050100200500 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
Halley's method
 [1-5] /5 Disp-Num5103050100200
[1]  2022/05/09 22:31   20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
better than than than Newton's to find Cube root, for a hardware implementation focussed on speed.
[2]  2019/11/29 16:19   30 years old level / High-school/ University/ Grad student / Not at All /
Purpose of use
To check my work.
Comment/Request
I just keep getting an "n error" message which tells me nothing. And when I chance my initial condition (to one I don't need) the error goes away.
My f(x) = atan(x)
f'(x) = 1/((x^2)+1)
f''(x) = (-2*x)/ (((x^2)+1)^2)
and x_0 = 1.5.

The calculator just will not do it.
[3]  2018/08/09 14:27   Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
[4]  2018/08/04 12:43   Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Pharmacokinetics Solving
Comment/Request
This is really cool and you are a genius!
[5]  2016/08/08 12:22   30 years old level / Self-employed people / Very /
Purpose of use
to solve gauss lobatto points

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