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krawczyk_operator

Function krawczyk_operator 

Source
pub fn krawczyk_operator(
    f_mid: f64,
    y: f64,
    df_iv: Interval,
    iv: Interval,
) -> Interval
Expand description

Krawczyk operator for root verification.

Given f : ℝ → ℝ, approximate Jacobian inverse y ≈ 1/f'(m), and interval iv, computes K = m - y*f(m) + (I - y*f'(iv))*(iv - m).

If K ⊆ iv then iv contains exactly one root. If K ∩ iv = ∅ then iv contains no root.