Domains of divergence of the USSOR method applied on p-cyclic matrices (Q915365)
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scientific article; zbMATH DE number 4151717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Domains of divergence of the USSOR method applied on p-cyclic matrices |
scientific article; zbMATH DE number 4151717 |
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Domains of divergence of the USSOR method applied on p-cyclic matrices (English)
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1990
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A recent theorem of \textit{X. Li} and \textit{R. S. Varga} to (ibid., to appear) relating the eigenvalues of a weakly cyclic Jacobi iteration matrix to the eigenvalues of its associated unsymmetric successive overrelaxation (USSOR) iteration matrix is applied to deduce new upper bounds for the domains of convergence of the USSOR method when applied to the solution of systems with a p-cyclic coefficient matrix. The bounds are valid for Ostrowski's H-matrices and for generalized consistently ordered matrices.
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large linear systems
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sparse matrices
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p-cyclic matrices
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unsymmetric successive overrelaxation iteration matrix
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weakly cyclic Jacobi iteration matrix
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eigenvalues
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upper bounds
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domains of convergence
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H- matrices
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consistently ordered matrices
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