The preconditioned Gauss-Seidel method faster than the SOR method (Q935766)

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scientific article; zbMATH DE number 5309278
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The preconditioned Gauss-Seidel method faster than the SOR method
scientific article; zbMATH DE number 5309278

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    The preconditioned Gauss-Seidel method faster than the SOR method (English)
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    8 August 2008
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    A new preconditioner for linear systems is presented. The basic idea of this work is based on the fact that the preconditioning effect is not observed on the \(n\)-th row of the system matrix. The convergence and comparison theorems of the proposed method are established by the help of numerical examples, which confirm the well explained theoretical analysis.
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    preconditioning
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    M-matrix
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    Gauss-Seidel method
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    splitting
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    successive overrelaxation (SOR)
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    convergence
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    numerical examples
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