Question: Use the Jacobi Method to solve the sparse system within three correct decimal places (forward error in the infinity norm) for n = 100. The

Use the Jacobi Method to solve the sparse system within three

Use the Jacobi Method to solve the sparse system within three correct decimal places (forward error in the infinity norm) for n = 100. The correct solution is [ I ,1 , 1 ,-I , . . . , I ,-1 ]. Report the number of steps needed and the backward error. The system is 2. 2 x1 0 0 xn 3. Rewrite Program 2.2 to carry out Gauss-Seidel iteration. Solve the problem in Example 2.24 to check your work. Use the Jacobi Method to solve the sparse system within three correct decimal places (forward error in the infinity norm) for n = 100. The correct solution is [ I ,1 , 1 ,-I , . . . , I ,-1 ]. Report the number of steps needed and the backward error. The system is 2. 2 x1 0 0 xn 3. Rewrite Program 2.2 to carry out Gauss-Seidel iteration. Solve the problem in Example 2.24 to check your work

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