Asynchronous parallel multisplitting nonlinear Gauss-Seidel iteration (Q1364891)
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scientific article; zbMATH DE number 1053673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asynchronous parallel multisplitting nonlinear Gauss-Seidel iteration |
scientific article; zbMATH DE number 1053673 |
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Asynchronous parallel multisplitting nonlinear Gauss-Seidel iteration (English)
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25 November 1999
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The nonlinear system \[ A\phi (x) + B \psi (x) = b \] is considered, where \(A\) is an \(M\)-matrix, \(B\) is a nonnegative matrix, and \(\phi\) and \(\psi\) are nonlinear vector functions. A parallel multisplitting Gauss-Seidel iterative method is proposed for this problem. Then its global convergence is proved.
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parallel algorithm
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multisplitting
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nonlinear system
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Gauss-Seidel iteration
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convergence
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