Newton’s Method

In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots of a real-valued function. The most basic version starts with a single-variable function defined for a real variable, the function's derivative, and an initial guess for a root of. If the function satisfies sufficient assumptions and the initial guess is close, then.