3. Assume A = QR is the QR decomposition of A and assume A is tridiagonal and symmetric. Prove that RQ remains to be tri

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3. Assume A = QR is the QR decomposition of A and assume A is tridiagonal and symmetric. Prove that RQ remains to be tri

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3 Assume A Qr Is The Qr Decomposition Of A And Assume A Is Tridiagonal And Symmetric Prove That Rq Remains To Be Tri 1
3 Assume A Qr Is The Qr Decomposition Of A And Assume A Is Tridiagonal And Symmetric Prove That Rq Remains To Be Tri 1 (90.62 KiB) Viewed 23 times
3. Assume A = QR is the QR decomposition of A and assume A is tridiagonal and symmetric. Prove that RQ remains to be tridiagonal and symmetric. Even though it is not necessary, but you can assume A is non-singular in the proof. The above result shows that pure QR algorithm reserves the symmetric and tridiagonal structure. [5 marks]
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