Semiconvergence of extrapolated iterative methods for singular linear systems (Q1301796)

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scientific article; zbMATH DE number 1334651
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Semiconvergence of extrapolated iterative methods for singular linear systems
scientific article; zbMATH DE number 1334651

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    Semiconvergence of extrapolated iterative methods for singular linear systems (English)
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    12 September 1999
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    The semiconvergence of an extrapolated method induced by a regular splitting and by a nonnegative splitting is shown where the coefficient matrix is a singular \(M\)-matrix and an irreducible singular \(M\)-matrix, respectively. As special cases the generalized and block variants of the JOR, AOR, and SOR methods are examined.
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    JOR method
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    AOR method
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    SOR method
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    irreducible singular \(M\)-matrix
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    semiconvergence
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    regular splitting
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    nonnegative splitting
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