Precise domains of convergence for the block SSOR method associated with p-cyclic matrices

DOI10.1007/BF01952685zbMath0677.65030OpenAlexW2060305858MaRDI QIDQ1123537

Michael Neumann, Apostolos Hadjidimos

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01952685

zbMATH Keywords

block SSOR iterationH-matricesdomains of convergencep-cyclic matricesblock Jacobi iteration matrixblock symmetric successive overrelaxation matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (11)

Superior convergence domains for a \(p\)-cyclic SSOR majorizer ⋮ On the exact \(p\)-cyclic SSOR convergence domains ⋮ Precise domains of convergence for the block SSOR method associated with p-cyclic matrices ⋮ Towards the determination of the optimal \(p\)-cyclic SSOR ⋮ On the convergence of the modified accelerated overrelaxation (MAOR) method ⋮ Symmetric block-SOR methods for rank-deficient least squares problems ⋮ On domains of superior convergence of the SSOR method to that of the SOR method ⋮ The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices ⋮ Convergence domains of the SSOR method for a class of generalized consistently ordered matrices ⋮ Successive overrelaxation (SOR) and related methods ⋮ Some recent results on the modified SOR theory

Cites Work

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• p-cyclic matrices and the symmetric successive overrelaxation method
• Convergence of a direct-iterative method for large-scale least-squares problems
• A note on two block-SOR methods for sparse least squares problems
• A note on the SSOR convergence domain due to Neumaier and Varga
• Precise domains of convergence for the block SSOR method associated with p-cyclic matrices
• Zur Konvergenz des symmetrischen Relaxationsverfahrens
• On recurring theorems on diagonal dominance
• On bounds for the convergence of the SSOR method forH-matrices
• The Block Symmetric Successive Overrelaxation Method

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