If A is symmetric, show that each matrix Ak in the QR-algorithm is also symmetric. Deduce that

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If A is symmetric, show that each matrix Ak in the QR-algorithm is also symmetric. Deduce that they converge to a diagonal matrix.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:47 AM

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If A is symmetric, show that each matrix Ak in the QR-algorithm is also symmetric. Deduce that

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We prove that A T k A k for each k by induction in k If k 1 then A 1 A is symmetric by hypothe...View the full answer

Linear Algebra With Applications

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