Interval Newton’s method using constrained interval arithmetic
Gino Gustavo Maqui Huamán, Ulcilea Alves Severino Leal, Alejandro Ttito Ttica · Proceeding Series of the Brazilian Society of Computational and Applied Mathematics · 2025
This article presents the Newton’s method for interval-valued functions, for this, is introduced a derivative concept to use the Taylor’s theorem for interval-valued functions. The arithmetic structure associated with these results is the constrained interval arithmetic.