On the convergence of parallel nonstationary multisplitting iteration methods. (Q1410828)
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scientific article; zbMATH DE number 1993194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of parallel nonstationary multisplitting iteration methods. |
scientific article; zbMATH DE number 1993194 |
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On the convergence of parallel nonstationary multisplitting iteration methods. (English)
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15 October 2003
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The author proposes a study of the convergence properties of a variant of the parallel chaotic multisplitting iteration method for solving large sparse systems of linear equations for H and positive definite matrices. Moreover, a monotone convergence theory and a monotone comparison theorem are established for this method if the matrix is monotone. This leads to several sufficient conditions for guaranteeing the convergence of this nonstationnary multisplitting iteration method.
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monotone matrix
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matrix multisplitting
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nonstationnary iteration
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monotone convergence
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parallel computation
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chaotic multisplitting iteration method
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large sparse systems
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