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An overview of approaches for the stable computation of hybrid BiCG methods - MaRDI portal

An overview of approaches for the stable computation of hybrid BiCG methods (Q1917419)

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scientific article; zbMATH DE number 897511
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An overview of approaches for the stable computation of hybrid BiCG methods
scientific article; zbMATH DE number 897511

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    An overview of approaches for the stable computation of hybrid BiCG methods (English)
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    24 February 1997
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    Some approaches that help to reduce the effects of local rounding errors in the BiCG iteration coefficients in hybrid schemes are presented. For example, a stabilization technique for the \(\text{BiCGstab}(l)\) method is proposed. Furthermore, look-ahead strategies for the determination of appropriate values for \(l\) in \(\text{BiCGstab}(l)\) are discussed. Some numerical examples show the advantages of the proposed methods.
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    conjugate gradient method
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    nonsymmetric linear systems
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    hybrid methods
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    BiCG iteration
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    stabilization
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    look-ahead strategies
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    numerical examples
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