Point-Jacobi and Gauss-Seidel iterative approaches on the following set of equations:
-1x1 + 1x2 + 7x3 + 1x4 - 2x5 = 3
2x1 + 1x2 -1x3- 2x4 +9x5 = 33
2x1 + 8x2 + 1x3- 2x4 + 1x5 = 17
1x₁-3x₂ + 1x3 + 10x4 + 2x5 = 56
6x1 + 1x2 - 1x3 + 1x4 - 1x5 = 20
Complete the following:
Providing screenshots and commentary, carry out an investigation using both the
Point-Jacobi and Gauss-Seidel iterative approaches using the given MATLAB code.
Consider different tolerances (i.e., Tol = 0.1, 0.01 and 0.001. What are the
implications of the variations in these values of tolerance? What is the error
associated with each answer for the values of X1, X2, X3, X4, and for these
variations in tolerance? Comment on the number of iterations required to achieve
convergence in each instance. What conclusions can be drawn from this
investigation?