Rearrange the equations so that they are diagonally dominant to ensure convergence of the GaussSeidel method. Write

Question:

Rearrange the equations

x = x + 3x = 8 4x + X X3 = 3 x = 8 X3 x + 2x +

so that they are diagonally dominant to ensure convergence of the Gauss–Seidel method. Write a MATLAB program to obtain the solution of these equations using this method, starting from (0, 0, 0). Compare your solution with that from a program when the equations are not rearranged. Use SOR, with ω = 1.3, to solve the equations. Is there any improvement?

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