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5. Do this problem by hand. Assume x(0) = [0 0 0]. Consider the following linear system: 3 24 -10 0 5 -4 2
5. Do this problem by hand. Assume x(0) = [0 0 0]. Consider the following linear system: 3 24 -10 0 5 -4 2 7 21 X2 13 - -53 ||xG) -x-1) || ||x6||a 27 (a) Perform 3 iterations of the Jacobi method. At each step, j, be sure to compute and show the approximate convergence errors defined as, for a = 1, 2, o. Note that ||- || stands for norm of a vector. Hint: instead of checking the convergence error e for solutions x1, x2 and 23, separately, here we only check for the norm of the vector x = [1 2 3] at every iteration. T (b) Perform 3 iterations of the Gauss-Seidel method. At each step, j, be sure to show the approximate convergence errors in the same norms as above.
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Numerical Methods For Engineers
Authors: Steven C. Chapra, Raymond P. Canale
5th Edition
978-0071244299, 0071244298
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