Abstract
In this paper,the new non-stationary parallel multisplitting two-stage iterative methods with self-adaptive weighting matrices are presented for the linear system of equations when the coefficient matrix is nonsingular. Self-adaptive weighting matrices are given, especially, the nonnegativity is eliminated. The convergence theories are established for the self-adaptive non-stationary parallel multisplitting two-stage iterative methods. Finally, the numerical comparisons of several self-adaptive non-stationary parallel multisplitting two-stage iterative methods are shown.
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