1. Use the linear conjugate gradient method to solve Ax=b where A = [5-20-1 -2] [-2 3-3 41] [0-35-42] [-14-4113] [-21 23

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1 Use The Linear Conjugate Gradient Method To Solve Ax B Where A 5 20 1 2 2 3 3 41 0 35 42 14 4113 21 23 1 (92.39 KiB) Viewed 33 times

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1. Use the linear conjugate gradient method to solve Ax=b where A = [5-20-1 -2] [-2 3-3 41] [0-35-42] [-14-4113] [-21 238] and b = [1 2 3 4 5]^T. Start with x_0 = [1 1 1 1 1]^T. After completing the algorithm, verify that the p_i are linearly independent and express each x_i as a linear combination of the p_i. 2. Show that the second strong Wolfe condition (3.7b) implies the curvature condition (6.7).