(i) Explain why the eigenvalues of A must lie in its refined Gerschgorin domain D*A = DAT...

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(i) Explain why the eigenvalues of A must lie in its refined Gerschgorin domain D*A = DAT DA.
(ii) Find the refined Gerschgorin domains for each of the matrices in Exercise 10.3.22 and confirm the result in part (i).

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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 08:59 AM

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(i) Explain why the eigenvalues of A must lie in its refined Gerschgorin domain D*A = DAT...

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i Because A and its transpose A T have the same eigenvalues which ...View the full answer

Applied Linear Algebra

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