Unformatted text preview: θ 2 . Use g = 9 . 81 m/s 2 and l = 0 . 5 m . Apply three correctors and compute the relative fractional relative error, ± a . 3. For the following matrix: A = 44 9-6 280 57 40 75 15 13 (a) [1pt] Compute the eigenvalues of A analytically. (b) [2pt] Find the dominant eigenvalue of A by using the power method. Perform 3 iterations. Find three eigenvalues of A by using ‘eig(A)’ function in Matlab and compare the results. (c) [2pt] Find the second dominant eigenvalue of A by using the power method after deﬂation. Perform 3 iterations. 1...
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- Spring '11
- Euler’s Method, Eigenvalue algorithm, dominant eigenvalue, fractional relative error