Superior convergence domains for a \(p\)-cyclic SSOR majorizer

DOI10.1016/0377-0427(94)00098-1zbMath0839.65036OpenAlexW2023187101MaRDI QIDQ1903671

Michael Neumann, Apostolos Hadjidimos

Publication date: 16 June 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00098-1

zbMATH Keywords

convergence\(H\)-matrixsymmetric successive overrelaxationblock Jacobi methodblock \(p\)-cyclic matrixblock SSOR methodsuperior convergence domains

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Iterative numerical methods for linear systems (65F10)

Cites Work

• Convergence domains of the SSOR method for a class of generalized consistently ordered matrices
• Optimal successive overrelaxation iterative methods for \(p\)-cyclic matrices
• Convergence of block iterative methods applied to sparse least-squares problems
• Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices
• p-cyclic matrices and the symmetric successive overrelaxation method
• Convergence of a direct-iterative method for large-scale least-squares problems
• A note on the SSOR convergence domain due to Neumaier and Varga
• On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
• Precise domains of convergence for the block SSOR method associated with p-cyclic matrices
• On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices
• Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator
• Zur Konvergenz des symmetrischen Relaxationsverfahrens
• On recurring theorems on diagonal dominance
• On domains of superior convergence of the SSOR method to that of the SOR method
• Optimality relationships for p-cyclic SOR
• Optimal \(p\)-cyclic SOR
• Über reguläre Zerlegungen von Matrizen und einige Anwendungen
• Neighborhoods of Dominant Convergence for the SSOR Method
• On bounds for the convergence of the SSOR method forH-matrices
• Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence
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