Question

onsider the following unconstrained nonlinear optimization problem: max f(x, x2) 36-9(x, 6 4(2-6) Beginning at the point t)79), a) perform one iteration of the gradient search procedure to find the next point. b) Evaluate the optimal step size as part of this iteration.

Answer 1

( X (-15,-24 2- 1

he nex
note that the function
Hla) = 36-9(18a + 1)2-4(24a +3)
is a parabola which has the opening in the downward direction i.e. this function has no minimum value for any positive alpha