5-21 A= -2 2 0 2 -23 Evaluate the smallest eigenvalue, and its corresponding eigenvector, v, of matrix A using the inverse power method. Use (0) = (1, 0, 1)' as the initial vector. Stop the iteration until m.-m. ≤0.0005.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Sp

5
A= -2
2
-2 1
2 0
-2 3
Evaluate the smallest eigenvalue, and its corresponding eigenvector, v, of matrix A using the inverse power method. Use
(0) = (1, 0, 1) as the initial vector. Stop the iteration until m.-m₂ ≤0.0005.
Transcribed Image Text:5 A= -2 2 -2 1 2 0 -2 3 Evaluate the smallest eigenvalue, and its corresponding eigenvector, v, of matrix A using the inverse power method. Use (0) = (1, 0, 1) as the initial vector. Stop the iteration until m.-m₂ ≤0.0005.
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