Problem 1 (20 points) Consider the minimization of the objective function f(x) = x} + x1x2 xzx} by Newton's method starting from the point x = [1 1]'. A computer code carefully programmed to execute Newton's method has not been successful. Explain the prob- able reason(s) for the failure. Problem 1 (20 points) Consider the minimization of the objective function f(x) = x} + x1x2 xzx} by Newton's method starting from the point x = [1 1]'. A computer code carefully programmed to execute Newton's method has not been successful. Explain the prob- able reason(s) for the failure