verry.optimize.krawczyk_scalar#

verry.optimize.krawczyk_scalar(fun, x, fprime=None)#

Apply the Krawczyk test to the univariate scalar-valued function.

Parameters:

fun (Callable) – Function to find a root of.
x (Interval) – Candidate set for which a root is expected to exist.
fprime (Callable | Interval, optional) – Derivative of fun, or an image of x under the derivative (the default is deriv(fun)).

Returns:

r0 (Literal[“EXISTS”, “NOTEXISTS”, “UNIQUE”, “UNKNOWN”])
r1 (Interval | None) – If r0 is "EXISTS" or "UNIQUE", r1 is the set containing the root; otherwise, r1 is None.

Warning

fun must be a \(C^1\)-function on x. Futhermore, fun must neither be a constant nor contain conditional branches (cf. Common pitfalls).