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A new preconditioned Gauss-Seidel method for linear systems. (English) Zbl 1326.65042

Summary: In this paper, a new preconditioner is introduced to improve the convergence rate of the Gauss-Seidel iterative method in linear systems, and some comparison theorems are derived. Numerical examples demonstrate the efficiency of the proposed method.

MSC:

65F10 Iterative numerical methods for linear systems
65F08 Preconditioners for iterative methods
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