The algebraic system reads Ax=b, where A = 2 0 -2 0 2 -1 0 -1...

 

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The algebraic system reads Ax=b, where A = 2 0 -2 0 2 -1 0 -1 2 -1 0-1 2 b= -2 (a) Make a Maple procedure for Successive Over-Relaxation (SOR). (b) Perform 15 iterations of Jacobi and Gauss-Seidel methods, starting from xo = [0,0,0,0]. (c) Try to find the best w with which the SOR method converges fastest during the first 15 iterations. (d) Find the spectral radii of the iteration matrices of the Jacobi, the Gauss-Seidel, and the SOR. The algebraic system reads Ax=b, where A = 2 0 -2 0 2 -1 0 -1 2 -1 0-1 2 b= -2 (a) Make a Maple procedure for Successive Over-Relaxation (SOR). (b) Perform 15 iterations of Jacobi and Gauss-Seidel methods, starting from xo = [0,0,0,0]. (c) Try to find the best w with which the SOR method converges fastest during the first 15 iterations. (d) Find the spectral radii of the iteration matrices of the Jacobi, the Gauss-Seidel, and the SOR.

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a Heres a Maple procedure for Successive OverRelaxation SOR Maple SORA b w x0 maxIterations epsilon local n x xold residual iteration n LinearAlgebraR... View the full answer