Question: Repeat Problem 6.6 using the Gauss-Seidel iterative method. Which method converges more rapidly? Problem 6.6 Using the Jacobi iterative method. Start with (x_{1}(0)=) (x_{2}(0)=x_{3}(0)=0), and

Repeat Problem 6.6 using the Gauss-Seidel iterative method. Which method converges more rapidly?

Problem 6.6

Using the Jacobi iterative method. Start with \(x_{1}(0)=\) \(x_{2}(0)=x_{3}(0)=0\), and continue until (6.2.2) is satisfied with \(\varepsilon=0.01\).

Eq (6.2.2)

x(i+1) x(i) xx(i) < E for all k = 1, 2, ...,

x(i+1) x(i) xx(i) < E for all k = 1, 2, ..., N

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