Let gx x2 2x 2 write a MATLAB routine that inputs x0 and

Let g(x) = x2 ? 2x + 2. write a MATLAB routine that inputs x0 and the number of iterations n, and draws a graph analogous to

Solution

function x = mynewton (f ,f1 ,x0 , n)
% Solves f (x ) = 0 by doing n steps of Newton ’s method starting at x0 .
% Inputs : f -- the function , input as an inline
% f1 -- it ’s derivative , input as an inline
% x0 -- starting guess , a number
% n -- the number of steps to do
% Output : x -- the approximate solution
format long % prints more digits
format compact % makes the output more compact
x = x0 ; % set x equal to the initial guess x0
for i = 1: n % Do n times
x = x - f(x )/ f1 ( x) % Newton ’s formula , prints x too
end

f = inline(’x^2-2x+2’)
f1 = inline(’2*x-2’)