Newton Method

[Dieter]

(05-12-2016 08:47 PM)Namir Wrote:  A better way to calculate h is using something like:

h=0.001*(1+ABS(x))

Hmmm.... I do not think this is "better". Consider a function where the derivative changes rapidly near zero, e.g. sin(10^6 · x). Since the smallest possible h is 0,001 it may become much larger than x itself. That's why I prefer defining h as a certain fraction of x.

(05-12-2016 08:47 PM)Namir Wrote:  which does not require testing the value of x.

Well, that's done in two steps. And thus even shorter than "ABS 1 +". ;-)

Dieter