A note on the improving modified Gauss-Seidel (IMGS) method (Q879533)
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scientific article; zbMATH DE number 5152376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the improving modified Gauss-Seidel (IMGS) method |
scientific article; zbMATH DE number 5152376 |
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A note on the improving modified Gauss-Seidel (IMGS) method (English)
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14 May 2007
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The property that the spectral radius of the Gauss-Seidel method is not greater than that of the SOR(\(\omega\)) method when \(0 < \omega \leq 1\) [proved by \textit{L. Sun}, J. Comput. Appl. Math. 181, No.~2, 336--341 (2005; Zbl 1072.65047)] is extended to more general splittings (and proved in another way). The convergence of the IMGS method for both an H-matrix and a symmetric positive definite matrix is provided.
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spectral radius
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H-matrix
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symmetric positive definite matrix
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improving modified Gauss-Seidel method
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convergence
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0.87131035
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0.8512836
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0.8416029
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0.83582413
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