Error estimate for the Jacobi method adapted to the weak row sum resp. weak column sum criterion (Q699879)
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scientific article; zbMATH DE number 1807976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error estimate for the Jacobi method adapted to the weak row sum resp. weak column sum criterion |
scientific article; zbMATH DE number 1807976 |
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Error estimate for the Jacobi method adapted to the weak row sum resp. weak column sum criterion (English)
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25 September 2002
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By making use of the Perron-Frobenius theorem, new error bounds for the Jacobi methods with the iteration matrix \(B\) are presented. These bounds are derived containing the spectral radius \(\rho(|B|)\) instead of the norm \(\|B\|\). In addition, some interesting results, which could be used for classroom teaching, are presented.
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weak column sum criterion
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irreducibility
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spectral radius
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weak row sum criterion
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Perron-Frobenius theorem
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error bounds
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Jacobi methods
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iteration matrix
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