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On semi-convergence of parameterized Uzawa methods for singular saddle point problems - MaRDI portal

On semi-convergence of parameterized Uzawa methods for singular saddle point problems (Q1030743)

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scientific article; zbMATH DE number 5574565
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On semi-convergence of parameterized Uzawa methods for singular saddle point problems
scientific article; zbMATH DE number 5574565

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    On semi-convergence of parameterized Uzawa methods for singular saddle point problems (English)
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    2 July 2009
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    In a recent work \textit{Z.-Z. Bai, B. N. Parlett, Z.-Q. Wang} [Numer. Math. 102, No.~1, 1--38 (2005; Zbl 1083.65034)] had presented an efficient parametrised Uzawa algorithm for the nonsingular saddle problem was presented. In this paper the authors prove semi-convergence of this methods under mild constraints on the iteration parameters. Optimal parameters are computed and numerical results are shown.
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    Saddle point problems
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    Parametrized Uzawa algorithm
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    optimal iteration parameters
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    singular matrix
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    semi-convergence factor
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    numerical results
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