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A Two-Step Iterative Method Based on Diagonal and Off-Diagonal Splitting for Solving Linear Systems

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Solving linear systems is a classical problem of engineering and numerical analysis which has various applications in many sciences and engineering. In this paper, we study efficient iterative methods, based… Click to show full abstract

Solving linear systems is a classical problem of engineering and numerical analysis which has various applications in many sciences and engineering. In this paper, we study efficient iterative methods, based on the diagonal and off-diagonal splitting of the coefficient matrix A for solving linear system Ax = b, where A ∈ Cn×n is nonsingular and x, b ∈ Cn×n. The new method is a two-parameter two-step method that has some iterative methods as its special case. Numerical examples are presented to illustrate the effectiveness of the new method.

Keywords: based diagonal; diagonal diagonal; method; diagonal splitting; linear systems; solving linear

Journal Title: Filomat
Year Published: 2017

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