Abstract
Recently, Darvishi and Hessari (Comput Math Appl 61:3128–3135, 2011) introduced a modified SSOR method for augmented systems. In this paper, we establish an improvement SSOR method for solving the large sparse augmented systems, which is the extension of the modified SSOR method. The convergence analysis of our method is studied under suitable restrictions on iteration parameters. Furthermore, the functional equation between the parameters and the eigenvalues of the iteration matrix of this method is obtained. Finally, numerical computations are presented based on a particular linear system, which clearly show the effectiveness of our algorithm.
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