3. a) Short questions (Please briefly justify your answers in each case to receive full credits)...
3. a) Short questions (Please briefly justify your answers in each case to receive full credits) 1) If we wish to minimize a function, fx.y) = 2x2+ 5x22+10, using Univariate Search method, how many searches will it take to reach the minimum and why? -L1 ii) Starting from an initial guess, Xo the minimization of the following function using Newton-Raphson method fails to work. Please explain why. fX) 0.5x2+2x1x- (1/3)x3+ 50 Note: N-R method: X- X1 - [H(X-1)] 'af(X1), where H is Hessian matrix, Af is gradient vector] ii) Three highly nonlinear curves, f(x,y), g(x,y) and h(x,y), intersect each other at a point, (x*,y* which we by an unconstrained multivariable computer optimization technique. need to find. Formulate the above problem as an optimization problem that can be solved
3. a) Short questions (Please briefly justify your answers in each case to receive full credits) 1) If we wish to minimize a function, fx.y) = 2x2+ 5x22+10, using Univariate Search method, how many searches will it take to reach the minimum and why? -L1 ii) Starting from an initial guess, Xo the minimization of the following function using Newton-Raphson method fails to work. Please explain why. fX) 0.5x2+2x1x- (1/3)x3+ 50 Note: N-R method: X- X1 - [H(X-1)] 'af(X1), where H is Hessian matrix, Af is gradient vector] ii) Three highly nonlinear curves, f(x,y), g(x,y) and h(x,y), intersect each other at a point, (x*,y* which we by an unconstrained multivariable computer optimization technique. need to find. Formulate the above problem as an optimization problem that can be solved