Can you please give me criteria for convergence of these 2 iterative methods(Gauss–Seidel and Jacoby methods)? What is necessary and sufficient condition and what just a sufficient from these 3?
1.The standard convergence condition (for any iterative method) is when the spectral radius of the iteration matrix is less than 1.
2.The method is guaranteed to converge if the matrix A is strictly or irreducibly diagonally dominant.
3.Norm of the iteration matrix is less than 1.
Thanks a lot!