Question

5. i) Modify some of the Python code developed in Week11.ipynb to min- imize the function 25 – 12x3 + 7x2 + 2x + 7 on the interval [0, 0). ii) Modify some of the Python code developed in Week11.ipynb to min- imize the function 100(2y – x2)2 + x(1 – y) on the interval (-1,00) X [-1, ). (0.75%]

Answer 1

`Hey,

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

1)

import scipy.optimize
f=lambda x: x**5-12*x**3+7*x**2+2*x+7
xopt = scipy.optimize.fmin(func=f, x0=[1]);
print("Minimum value is");
print(f(xopt));

2)

import scipy.optimize
f=lambda x: 100*(2*x[1]-x[0]*x[0])*(2*x[1]-x[0]*x[0])+x[0]*(1-x[1]);
xopt = scipy.optimize.fmin(func=f, x0=[1,-1]);
print("Minimum value is");
print(f(xopt));

Kindly revert for any queries

Thanks.