Suppose T is a complete matrix. (a) Prove that every solution to the corresponding linear iterative system

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Suppose T is a complete matrix.
(a) Prove that every solution to the corresponding linear iterative system is bounded if and only if p(T) < 1.
(b) Can you generalize this result to incomplete matrices? Look at Exercise 10.1.36.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 18, 2016 08:58 AM

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Suppose T is a complete matrix. (a) Prove that every solution to the corresponding linear iterative system

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a Let u 1 u n be a unit eigenvector basis for T so u j 1 Let which is ...View the full answer

Applied Linear Algebra

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