Repeat Exercise 11 using the Jacobi method. In Exercise 11 a. Is the coefficient matrix Strictly diagonally

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Repeat Exercise 11 using the Jacobi method.

In Exercise 11

a. Is the coefficient matrix

Strictly diagonally dominant?

b. Compute the spectral radius of the Gauss-Seidel matrix T_g.

c. Use the Gauss-Seidel iterative method to approximate the solution to the linear system with a tolerance of 10⁻² and a maximum of 300 iterations.

d. What happens in part (c) when the system is changed to x₁ − 2x₃ = 0.2, −1/2 x₁ + x₂ – 1/4 x₃ = −1.425, x₁ – 1/2 x₂ + x₃ = 2.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:57 AM

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Repeat Exercise 11 using the Jacobi method. In Exercise 11 a. Is the coefficient matrix Strictly diagonally

Question:

1-2 I

Step by Step Answer:

a A is not strictly diagonally dominant b We have Since T j ...View the full answer

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