## (Solved) 1. Consider the following unconstrained NLP:min x1x2 + 5(x1 2)2 + 3(x2 5)2 (a) If we use gradient search method, what would be the moving direction

1. Consider the following unconstrained NLP:min âˆ’x1x2 + 5(x1 âˆ’ 2)2 + 3(x2 âˆ’ 5)2

(a) If we use gradient search method, what would be the moving direction at x0 = (1, 3)T?

(b) Starting from x0 = (1, 3)T, use gradient search method to find a minimum. If youuse Matlab, report dk, tk, xk+1, âˆ‡f(xk+1) at each iteration.

(c) If we use Newtonâ€™s method, what would be the moving direction at x0 = (3, 7)T?

(d) Starting from x0 = (3, 7)T, use Newtonâ€™s method to find a minimum. If you useMatlab, report dk, tk, xk+1, âˆ‡f(xk+1) at each iteration.

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Sep 05, 2019

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