Algorithm 8.1: Newton's method with finite differences, one variable. More...

Functions
function	newtonFinDiffOneVariable (in obj, in x0, in eps, in tau, in maxiter)
	Applies Newton's algorithm with finite differences to solve where $F:\mathbb{R}\to\mathbb{R}$ . More...

Detailed Description

Algorithm 8.1: Newton's method with finite differences, one variable.

Implementation of algorithm 8.1 of [1]

Function Documentation

function newtonFinDiffOneVariable	(	in	obj,
		in	x0,
		in	eps,
		in	tau,
		in	maxiter
	)

Applies Newton's algorithm with finite differences to solve $F(x)=0$ where $F:\mathbb{R}\to\mathbb{R}$ .

Parameters

obj	the name of the Octave function defining F(x)
x0	the starting point
eps	algorithm stops if $\|F(x)\| \leq \varepsilon$ .
tau	step for the finite difference approximation
maxiter	maximum number of iterations (Default: 100)