F. Shariffar - Department of Mathematics‎, ‎Lahijan Branch, Islamic Azad University, Lahijan, ‎Iran‎.
‎A. H. Refahi Sheikhani - Department of Mathematics‎, ‎Lahijan Branch, Islamic Azad University, Lahijan, ‎Iran.

In the current study we investigate the two-stage iterative method for solving linear systems. Our new results shows which splitting generates convergence fast in iterative methods. Finally, we solve the Poisson-Block tridiagonal matrix from Poisson's equation which arises in mechanical engineering and theoretical physics. Numerical computations are presented based on a particular linear system, which clearly show the reliability and efficiency of the presented algorithm.

Two stage iterative method, Splitting, Poisson's equation, Spectral radius