algorithm - Newton's root finding method in MATLAB: quadratic ...
stackoverflow.com › questions › 53254768Nov 12, 2018 · Show activity on this post. So I have this example Newton's method for root finding with quadratic convergence below. It takes a function f, the derivative of f df, initial guess g, and tolerance tol. It outputs the # iterations it to reach nth root, the root estimate r, and the error approximation err. function [it, r, err] = QuadraticN (f, df, g , tol) num_it = 20; it_max = num_it + 1; x (1)= (g + num_it)/2; %set x at n = 1 n = 1; r = 0; % root it = 0; % iteration # err =0; % error % ...
Newton's Method | Root-Finding | Introduction To MATLAB ...
ocw.mit.edu › root-finding › newtons-methodNewton's method is an iterative method. This means that there is a basic mechanism for taking an approximation to the root, and finding a better one. After enough iterations of this, one is left with an approximation that can be as good as you like (you are also limited by the accuracy of the computation, in the case of MATLAB®, 16 digits). Iterative methods entail doing the exact same thing over and over again. This is perfect for a computer.