Convergence of Matrix Relaxed Multisplitting USAOR Method

Relaxed technique is one of techniques for improving convergent rate of splitting iterative methods. In this paper,we study the convergence of both local relaxed parallel multisplitting method associated with USAOR multisplitting for solving a large sparse linear system whose coefficient matrix is anH-matrix.

New Convergence of Relaxed Parallel Multisplitting Method for the H-Matrix

Relaxed technique is one of the main techniques for Improving convergence rate of splitting iterative method. Based on existing parallel multisplitting methods, we have deeply studied the convergence of the relaxed multisplitting method associated with TOR multisplitting for solving the linear system whose coefficient matrix is an H-matrix. Moreover, theoretical analysis have shown that the convergence domain of the relaxed parameters is weaker and wider.