using Python or Matlab

6.9. Write a program to find a minimum of Rosenbrock's function, f(x, y) = 100(y x2)2 + (1 x)2 using each of the following methods: (a) Steepest descent (b) Newton (c) Damped Newton (Newton's method with a line search) You should try each of the methods from each of the three starting points (-1 1]], [0 1]T, and [2 1]?. For any line searches and linear system solutions required, you may use either library rou- tines or routines of your own design. Plot the path taken in the plane by the approximate solutions for each method from each starting point. 6.9. Write a program to find a minimum of Rosenbrock's function, f(x, y) = 100(y x2)2 + (1 x)2 using each of the following methods: (a) Steepest descent (b) Newton (c) Damped Newton (Newton's method with a line search) You should try each of the methods from each of the three starting points (-1 1]], [0 1]T, and [2 1]?. For any line searches and linear system solutions required, you may use either library rou- tines or routines of your own design. Plot the path taken in the plane by the approximate solutions for each method from each starting point