This exercise explores how to use the results from the power method to estimate | λ 2 |. (a) Explain how to use the computed values for k and the iteration error in Table 4.2 to estimate | 2 |. (b)...


This exercise explores how to use the results from the power method to estimate |λ
2|.


(a) Explain how to use the computed values for


k

and the iteration error in Table 4.2 to estimate |
2|.


(b) The power method was used on a positive definite 3 × 3 matrix and the results are given in Table 4.17. What is, approximately, the second largest eigenvalue?


(c) Explain how the result from part (b), and the inverse power method, can be used to compute λ2.



Nov 26, 2021
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