Newton's method - Wikipedia
https://en.wikipedia.org/wiki/Newton's_methodIn 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 (or zeroes) of a real-valued function. The most basic version starts with a single-variable function f defined for a real variable x, the function's derivative f′, and an initial guess x0 for a rootof f. If the function satisfies sufficient assumptions and the initial gues…
The Newton-Raphson Method
www.math.ubc.ca › ~anstee › math104The Newton-Raphson Method 1 Introduction The Newton-Raphson method, or Newton Method, is a powerful technique for solving equations numerically. Like so much of the di erential calculus, it is based on the simple idea of linear approximation. The Newton Method, properly used, usually homes in on a root with devastating e ciency.
scipy.optimize.newton — SciPy v1.7.1 Manual
https://docs.scipy.org/.../reference/generated/scipy.optimize.newton.htmlscipy.optimize.newton¶ scipy.optimize. newton (func, x0, fprime = None, args = (), tol = 1.48e-08, maxiter = 50, fprime2 = None, x1 = None, rtol = 0.0, full_output = False, disp = True) [source] ¶ Find a zero of a real or complex function using the Newton-Raphson (or secant or Halley’s) method. Find a zero of the function func given a nearby starting point x0.The Newton-Raphson method …