A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices (Q1124271)

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scientific article; zbMATH DE number 4111898
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A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices
scientific article; zbMATH DE number 4111898

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    A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices (English)
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    1989
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    The main result is a new functional equation, which couples the nonzero eigenvalue of the iteration matrix of the unsymmetric successive overrelaxation method with the eigenvalues of the associated block Jacobi matrix. This result serves to generalize and unify all the recent results of the SSOR and USSOR iterative methods applied to a block p-cyclic matrix.
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    functional equation
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    iteration matrix
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    unsymmetric successive overrelaxation method
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    block Jacobi matrix
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    block p-cyclic matrix
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