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Unformatted text preview: diagonal and the Frst two superdiagonals. (4.2.a) Show that Q has nonzero structure such that e T i Qe j = 0 if j < i-1, i.e., Q is upper Hessenberg. (4.2.b) Show that T + = RQ is a symmetric triagonal matrix. (4.2.c) Prove the Lemma in the class notes that states that choosing the shift μ = λ , where λ is an eigenvalue of T , results in a reduced T + with known eigenvector and eigenvalue. Problem 4.3 Golub and Van Loan Problem 8.3.1. p. 423 1 Problem 4.4 Golub and Van Loan Problem 8.3.6. p. 424 Problem 4.5 Golub and Van Loan Problem 8.3.8. p. 424 2...
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- Fall '06
- Matrices, Diagonal matrix, Golub, Van Loan Problem