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1. Find the minimum along the steepest descent direction With the starting point (0,0) for the 2 function f = (2x13)2 +(3x2 2) . 2.

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1. Find the minimum along the steepest descent direction With the starting point (0,0) for the 2 function f = (2x13)2 +(3x2 2) . 2. Determine the Fletcher-Reeves direction for the second iteration for Problem 3. 3. Determine the Polak-Rebiere direction for the second iteration for Problem 3. 4. Two vectors u = [0.8 0.6 |T v = [1 0]T are given. a) g u, v orthogonal to each other? b) g u, v unit vectors? 2 1 5. Givend1=[l 1]T andA= [1 1 J , nd a vector (12 = [1 a] T that is conjugate with respect to d1. Given d1 = [1 1]T and A = L; 1 l = nd a 1.13ch d: = [1 a] I that is conjugate with respect to d1. 3 Need d2 given cl1 such that calf/11a!2 = 0 - D termine a

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