Prove that 0 u ker A if and only if u is a eigenvector of

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Prove that 0 ≠ u ∈ ker A if and only if u is a eigenvector of the Jacobi iteration matrix with eigenvalue 1. What does this imply about convergence?

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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 09:02 AM

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Prove that 0 u ker A if and only if u is a eigenvector of

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If Au 0 then Du L Uu and hence T u ...View the full answer

Applied Linear Algebra

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