How approximate root in Newton Method ?
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Writing a MATLAB program to approximate a zero of the following function using Newton method.
Approximate the root within 10^-5
1. f(x) = x^3 - 3 x^2 +x -1
2. f(x) = x^3 -7
3. f(x) = sinx - e^(-x)
.. this is my code but i don't know how to approximate the root within 10^-5
function [ x, ex ] = newton( f, df, x0, tol, nmax )
if nargin == 3
tol = 1e-4;
nmax = 1e1;
elseif nargin == 4
nmax = 1e1;
elseif nargin ~= 5
error('newton: invalid input parameters');
end
f = inline(f);
df = inline(df);
x(1) = x0 - (f(x0)/df(x0));
ex(1) = abs(x(1)-x0);
k = 2;
while (ex(k-1) >= tol) && (k <= nmax)
x(k) = x(k-1) - (f(x(k-1))/df(x(k-1)));
ex(k) = abs(x(k)-x(k-1));
k = k+1;
end
end
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