Optimal parameters for 2-cyclic AOR (Q972916)
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scientific article; zbMATH DE number 5710881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal parameters for 2-cyclic AOR |
scientific article; zbMATH DE number 5710881 |
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Optimal parameters for 2-cyclic AOR (English)
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21 May 2010
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The authors consider the 2-cyclic accelerated overrelaxation (AOR) method for solving the consistent linear system \(Ax=b\). In the case that the spectrum \(\sigma(J)\), where \(J\) is the block Jacobi iteration matrix, is either nonnegative or nonpositive they give a detailed discussion and derive a definite expression on the optimal parameters and the spectral radius by efficient methods.
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2-cyclic consistently ordered matrix
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convergence condition
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optimal parameters
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asymptotical convergence factor
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2-cyclic accelerated overrelaxation (AOR) method
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block Jacobi iteration matrix
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spectral radius
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