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On optimal improvements of classical iterative schemes for \(Z\)-matrices - MaRDI portal

On optimal improvements of classical iterative schemes for \(Z\)-matrices (Q817470)

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scientific article; zbMATH DE number 5012879
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On optimal improvements of classical iterative schemes for \(Z\)-matrices
scientific article; zbMATH DE number 5012879

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    On optimal improvements of classical iterative schemes for \(Z\)-matrices (English)
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    16 March 2006
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    The authors describe a preconditioning technique for improving the asymptotic convergence rate of Jacobi and Gauss-Seidel iterations for irreducible dominant \(Z\)- matrices. Their method is based on a multiple elimination of some off-diagonal entries. Some connections with Krylov subspace methods are also described.
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    Jacobi and Gauss-Seidel iterative methods
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    diagonally dominant \(Z\)- and \(M\)-matrices
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    preconditioning
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    convergence
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    Krylov subspace methods
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