3rd Edition

ISBN: 9780134696454

Author: Sauer, Tim

Publisher: Pearson,

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Textbook Question

Chapter 4.4, Problem 3E

Let A = [ 1 0 a 13 0 1 a 23 0 0 1 ] . Prove that for any x 0 and b

, GMRES converges to the exact solution after two steps.

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Chapter 4.4, Problem 2E

Chapter 4.4, Problem 4E

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Chapter 4 Solutions

Numerical Analysis

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Let A = [ 1 0 a 13 0 1 a 23 0 0 1 ] . Prove that for any x 0 and b , GMRES converges to the exact solution after two steps.

Solution Summary: The author explains how GMRES converges to the exact solution after two steps, since the Modified Gram Schmidt orthogonalization in the inner loop results in y=0.

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Chapter 4 Solutions