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).
please answer all parts ASAP 🙏 with explanation
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please answer all parts ASAP 🙏 with explanation
please answer all parts ASAP
with explanation
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).
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).