Question

ANSWER FOR NEWTON'S METHOD ON MATLAB ONLY PLEASE

Implement Newton's method for finding minima. Compare these for the following task: find all maxima and minima of (-- 1)(x+ 3) exp(-x?). You can compare the methods byla the number onerationen 14 Fe 41 to 09/17 nahihicul lou choosing starting points e la reconegut

Answer 1

Here is a graph of the function above and its derivative.

05 -0.5

We need to find the minima.. So the roots of the derivative function..

Here is a matlab code to find out the zeros to the derivative function by Newton's method

clc
clear all
a0=input('enter the starting point:');
ep=eps(0);
max_iterate=100;
a=a0; fa=f(a0);
b=a-fa/df(a); fb=f(b);
it_count=0;
if f(a)==0
root=a
else
while abs(f(a))>ep & it_count<max_iterate
a=b;
fa=fb;
b=a-fa/df(a); fb=f(b);
it_count=it_count+1;
end
end
format long
root=b
format short
error_bound=abs(f(a))

function [ output ] = f(x)

output=(g(x+0.00001)-g(x))/0.00001;

end

function [fv] =df(x)

fv=(f(x+0.00001)-f(x))/0.00001;

end