Course Solutions Uncategorized (Solved) : 3 14 Points Consider Extended Rosenbrock Function F R4 Rgiven F X X1 1 100 2 2 3 1 2 100 X Q38187725 . . . .

(Solved) : 3 14 Points Consider Extended Rosenbrock Function F R4 Rgiven F X X1 1 100 2 2 3 1 2 100 X Q38187725 . . . .

June 27, 2024| admin| 0 Comment| 8:31 pm

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(3) (14 points) Consider the extended Rosenbrock function f R4- Rgiven by f(x) (x1-1)+100(-2)2+(3-1)2+100(x3-r)2, (1, 2, 3, 4) E R’. We apply the Dogleg method based Trust Region (TR) algorithm to min f(x) with the initial point xo = (-2,4,3,-3)T E R4. The uniform TR radius bound Δ 2 (or Δ-2 in Algorithm 4.1), the initial TR radius Δο 1.8, and η 1/5 At each k, choose Bk Hf(k). The termination condition is |V f(xk)l2 10-6. (3.1) Submit a hard

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