How to compute the optimal parameters of the parameterized PMHSS preconditioner? (Q1726421)
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scientific article; zbMATH DE number 7025970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.83311737
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0.8286273
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0.82647234
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0.8263912
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0.8261406
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0.82433474
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0.8239774
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0.82345146
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