Function - Find root

[jte]

(10-16-2021 01:59 PM)Albert Chan Wrote:  Example, F1(X) = X^2 - 2*X + 1

Depending on initiial guess around X=1, you might get root = 1, or extremum = 1
I would think returning extremum = 1 is better than “no root found”

Another example would be F1(X)=SIN(X)^2. From a floating-point perspective, what the numerical routines will generally (for X near non-zero multiples of π) observe is near misses (of zero) - extrema (minima, in this case).