A somewhat different Newton solver (HP35s)

[Albert Chan]

(08-07-2016 08:47 PM)Dieter Wrote:  I think most of us will know the usual Newton method for finding the roots of a function. This requires the evaluation of the function f(x) as well as its derivative f'(x), which usually means two function calls per iteration step.

For a project where the derivative cannot be calculated fast and easily ...
The idea here is the simulaneous calculation of f(x) and f'(x) via complex math.

Does the project reach its goal ?
I know complex math can get better derivative, but is it really fast ?

I would guess complex math for f(x) and f(x + h*I) are much slower than real f(x) and f(x+h).
Just look at effort needed to multiply of 2 complex numbers ...