Consider the systems 5x + y - 2z = 5 x + 4y 2x + 2y...

 

Transcribed Image Text:

Consider the systems 5x + y - 2z = 5 x + 4y 2x + 2y – 7 = -9 i) Solve the system by Jacobi, Gauss-Seidel, and SOR methods (take w = 1.5) and compare the number of iterations required for convergence (the exact solution is x = 2, y = -3,z = 1); ii) Using a tolerance & = 10-5, determine the error in the approximate solution using the Jacobi method; iii) Determine the number of iterations required to achieve the tolerance of 10-5 using Gauss-Seidel method. | = -10 %3D Consider the systems 5x + y - 2z = 5 x + 4y 2x + 2y – 7 = -9 i) Solve the system by Jacobi, Gauss-Seidel, and SOR methods (take w = 1.5) and compare the number of iterations required for convergence (the exact solution is x = 2, y = -3,z = 1); ii) Using a tolerance & = 10-5, determine the error in the approximate solution using the Jacobi method; iii) Determine the number of iterations required to achieve the tolerance of 10-5 using Gauss-Seidel method. | = -10 %3D