Consider the linear system Ax = e1 based on the 10 Ã 10 pentadiagonal matrix (a) For

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Consider the linear system Ax = e1 based on the 10 Ã— 10 pentadiagonal matrix

(a) For what values of z are the Jacobi and Gauss- Seidel methods guaranteed to converge?
(b) Set z = 4. How many iterations are required to approximate the solution to 3 decimal places?
(c) How small can |z| be before the methods diverge?

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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 09:01 AM

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Consider the linear system Ax = e1 based on the 10 Ã 10 pentadiagonal matrix (a) For

Question:

011z 011 こ11

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a Diagonal dominance requires z 4 b The solution is u 0115385 0294314 0755853 0536789 ...View the full answer

Applied Linear Algebra

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