Algorithm 7.3: Newton's method, n variables. More...

Functions
function	newtonNVariables (in obj, in x0, in eps, in maxiter)
	Applies Newton's algorithm to solve where $F:\mathbb{R}^n\to\mathbb{R}^n$ . More...

Detailed Description

Algorithm 7.3: Newton's method, n variables.

Implementation of algorithm 7.3 of [1]

Definition in file newtonNVariables.m.

Function Documentation

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

Parameters

obj	the name of the Octave function defining F(x) and its Jacobian
x0	the starting point
eps	algorithm stops if $\\|F(x)\\| \leq \varepsilon$ .
maxiter	maximum number of iterations (Default: 100)

Returns: [solution,f] solution: root of the function, f: value of F at the solution