File:Methode_newton.png · Wikimedia Commons · See Wikimedia Commons
Newton's method
Sign in to saveAlso known as Newton–Raphson method
algorithm for finding a zero of a function
~40 min read
Encyclopedic overview
An illustration of Newton's method In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The most basic version starts with a real-valued function f, its derivative f′, and an initial guess x0 for a root of f. If f satisfies certain assumptions and the initial guess is close, then
x
Excerpted from Wikipedia’s “Newton's method” article, available under the CC BY-SA 4.0 licence.