On domains of superior convergence of the SSOR method to that of the SOR method (Q1260959)

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scientific article; zbMATH DE number 399291
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On domains of superior convergence of the SSOR method to that of the SOR method
scientific article; zbMATH DE number 399291

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    On domains of superior convergence of the SSOR method to that of the SOR method (English)
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    29 August 1993
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    The authors determine a \((\nu,\omega)\) domain in which the symmetric successive overrelaxation (SSOR) method is superior to SOR for \(M\)- matrices. It is also shown that the optimal SOR iteration parameter is 1. For a general \(p\)-cyclic, \(p \geq 3\) matrix they also determine regions where the asymptotic rate of convergence of the block SSOR method is superior to that of the block SOR method.
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    domains of superior convergence
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    SSOR method
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    symmetric successive overrelaxation
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    \(M\)-matrices
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    iteration parameter
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    block SOR method
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