1. Using the Jacobi and Gauss-Seidel methods, solve the system with tol −14 and numiter In each case, print the number of iterations required and the relative residual 2 2.  Is matrix  strictly row...

1.

Using the Jacobi and Gauss-Seidel methods, solve the system with tol

⁻¹⁴
and numiter
In each case, print the number of iterations required and the relative residual

₂

2.

 Is matrix
 strictly row diagonally dominant?

 Is the Jacobi method guaranteed to converge? What about the Gauss-Seidel and SOR iterations?

 If the Gauss-Seidel method converges, solve

 If the
 iteration converges, use optomega to estimate an optimal
 and demonstrate that sor improves the convergence rate relative to Gauss-Seidel using tol

⁻¹⁰
and maxiter