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2. (18pts) Write a MATLAB code to implement the inverse iteration with shift. Use your routine to compute all the eigenvalues and corresponding eigenvectors of A = 1 -1 0 5 1 =2 -19 by choosing an appropriate shift s each time. Explain how you choose your shifts. Submit your code and output. Make sure to check your results by computing eigenvalues and eigenvectors directly.

2. (18pts) Write a MATLAB code to implement the inverse iteration with shift. Use your routine to compute all the eigenvalues and corresponding eigenvectors of A = 1 -1 0 5 1 =2 -19 by choosing an appropriate shift s each time. Explain how you choose your shifts. Submit your code and output. Make sure to check your results by computing eigenvalues and eigenvectors directly.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. (18pts) Write a MATLAB code to implement the inverse iteration with shift. Use your routine to compute all the eigenvalues and corresponding eigenvectors of A = 1 -1 0 5 1 =2 -19 by choosing an appropriate shift s each time. Explain how you choose your shifts. Submit your code and output. Make sure to check your results by computing eigenvalues and eigenvectors directly.
Transcribed Image Text:2. (18pts) Write a MATLAB code to implement the inverse iteration with shift. Use your routine to compute all the eigenvalues and corresponding eigenvectors of A = 1 -1 0 5 1 =2 -19 by choosing an appropriate shift s each time. Explain how you choose your shifts. Submit your code and output. Make sure to check your results by computing eigenvalues and eigenvectors directly.
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