Q2 (a). Approximate a solution of the following system of nonlinear equations, using the Broyden method:
x^2 + 4y^2 - 16 = 0,
xy^2 - 4 = 0, x0 = (v + 1, 2v).
Give your answer and the number of iterations required to solve the problem.
(b). Redo the question, but by applying the steepest descent method to a certain minimization problem.
(c). Redo the latter question, but by applying either the DFP or BFGS method.