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Based on two triangular splitting of the coefficient matrix, a modified upper and lower triangular (MULT) splitting iterative method is proposed in this paper for solving a class of block two-by-two linear systems. The convergence property and optimal iterated parameters are derived under suitable conditions. Finally, the effectiveness of the proposed MULT splitting iterative method is supported by two numerical examples.

Modified upper and lower triangular splitting iterative method for a class of block two-by-two linear systems