## Neville’s Method of Polynomial Interpolation

Neville’s method evaluates a polynomial that passes through a given set of [latex]x[/latex] and [latex]y[/latex] points for a particular [latex]x[/latex] value using the Newton polynomial form. Neville’s method is similar to a now-defunct procedure named Aitken’s algorithm and is based on the divided differences recursion relation (“Neville’s Algorithm”, n.d). It was...