A note on the eigenvalue relationship for USAOR iterative method applied to \(p\)-cyclic matrices (Q1877209)
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scientific article; zbMATH DE number 2091436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the eigenvalue relationship for USAOR iterative method applied to \(p\)-cyclic matrices |
scientific article; zbMATH DE number 2091436 |
Statements
A note on the eigenvalue relationship for USAOR iterative method applied to \(p\)-cyclic matrices (English)
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16 August 2004
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A new relationship of eigenvalues between the Jacobi iteration matrix and the USAOR iteration matrix for block \(p\)-cyclic case is presented. The result is an extension of some previous ones. This extension is not trivial. Its importance is not only in the theoretical aspect which helps us to understand the behavior of the iterations, but also in the practical aspect in that we can derive the domains of convergence of these iterative methods.
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Eigenvalue relationship
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Iterative methods
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p-cyclic matrices
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Jacobi method
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Gauss-Seidel method
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SOR
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AOR
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SSOR
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USSOR
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SAOR
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USAOR
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JOR
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domains of convergence
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