4. Let us apply Newton type method for solving the unconstained optimization problem 1 1 min F(x) for F(x) = x 1 + x1 x2 + 1×2. What is the gradient of the function F at a given point x? ⚫ What is the Hessian matrix of F at a given point x? • We implement a Newton type method method of the form x+1 = x* - M¯¹VF(xk) with the constant Hessian approximation M = 1 3 What is the local convergence rate of this method? = ( i } ) 1

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