Question

2. Write a MATLAB code that uses the Golden Section Search Method to find the minimum of f(x) = r-r , starting with the interval [0, 2]. Iterate until the width of the interval is less than 0.1

Answer 1

clear all
clc
syms x
p=linspace(0,2,400);
f(x) = x^2-x;
plot(p,f(p));%hold on
phi=(1+sqrt(5))/2
a=0;
b=2;
d=b-(b-a)/phi;
    c=a+(b-a)/phi;
k=abs(c-d);

for i=1:15
    if f(c)>f(d)
     b=d;
    end
    if f(d)>f(c)
     a=c;
    end
    d=b-(b-a)/phi;
    c=a+(b-a)/phi;

end

v=[f(a) f(b) f(c) f(d)];
min(v)

OUTPUT