Let A have singular values 1, > > n. Prove that ATA is a

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Let A have singular values σ1, > ∙ ∙ ∙ > σn. Prove that ATA is a convergent matrix if and only if σ1 < 1. (Later we will show that this implies that A itself is convergent.)
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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