Relationship of eigenvalues for USAOR iterative method applied to a class of \(p\)-cyclic matrices (Q1863570)
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scientific article; zbMATH DE number 1880066
| Language | Label | Description | Also known as |
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| English | Relationship of eigenvalues for USAOR iterative method applied to a class of \(p\)-cyclic matrices |
scientific article; zbMATH DE number 1880066 |
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Relationship of eigenvalues for USAOR iterative method applied to a class of \(p\)-cyclic matrices (English)
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11 March 2003
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Results of \textit{R. S. Varga, W. Niethammer}, and \textit{D.-Y. Cai} [Linear Algebra Appl. 58, 425-439 (1984; Zbl 0569.65022)] on \(p\)-cyclic matrices are extended to the class of USAOR unsymmetric accelerated overrelaxation (USAOR) iterative methods. A relation between the eigenvalues of the given \(p\)-cyclic matrix and the USAOR iteration matrix is established. This class includes Jacobi, Gauss-Seidel, JOR, SOR, SSOR, USSOR, AOR, SAOR, EGS2, and SEGS2.
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\(p\)-cyclic matrices
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accelerated overrelaxation
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successive overrelaxation
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iterative methods
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