(15 points) Consider the system: -2 5 9 X1 (100-(0) 7 -37 X3 = -26 (1)....

Transcribed Image Text:

(15 points) Consider the system: -2 5 9 X1 (100-(0) 7 -37 X3 = -26 (1). Perform three iterations of the Jacobi method with your initial guess being the zero vector. Why does it not appear to be converging? (2). Reorder the equations so that the Jacobi method will converge, and perform three iterations with your initial guess being the zero vector. (3). Now perform three iterations on the reordered set of equations, using Gauss-Seidel iteration. Compare the Gauss-Seidel solution with the Jacobi solution calculated above. (15 points) Consider the system: -2 5 9 X1 (100-(0) 7 -37 X3 = -26 (1). Perform three iterations of the Jacobi method with your initial guess being the zero vector. Why does it not appear to be converging? (2). Reorder the equations so that the Jacobi method will converge, and perform three iterations with your initial guess being the zero vector. (3). Now perform three iterations on the reordered set of equations, using Gauss-Seidel iteration. Compare the Gauss-Seidel solution with the Jacobi solution calculated above.

Answer rating: 100% (QA)

1 Performing three iterations of the Jacobi method with the initial guess being the zero vector Iter... View the full answer