How to compute the optimal parameters of the parameterized PMHSS preconditioner? (Q1726421)

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scientific article; zbMATH DE number 7025970
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How to compute the optimal parameters of the parameterized PMHSS preconditioner?
scientific article; zbMATH DE number 7025970

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    How to compute the optimal parameters of the parameterized PMHSS preconditioner? (English)
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    20 February 2019
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    A parameterized PMHSS (P2MHSS) preconditioner for a class of block two-by-two systems of linear equations is proposed. It is based on the preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration method and its alternating-directional variant. Practical formulas for computing the optimal parameters of the P2MHSS preconditioner are derived by employing the scaled norm minimization method. The result from a numerical experiment is also presented.
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    PMHSS method
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    block two-by-two system
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    P2MHSS preconditioner
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    optimal parameters
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