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 Tg.

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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