Application of the Schur-Cohn theorem to the precise convergence domain for a \(p\)-cyclic SOR iteration matrix

DOI10.1553/etna_vol60sa1MaRDI QIDQ6186966

Apostolos Hadjidimos, Richard S. Varga, Xiezhang Li

Publication date: 5 February 2024

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol60/abstract.php?vol=60&pages=A1-A14

zbMATH Keywords

Schur-Cohn algorithmblock \(p\)-cyclic matrixblock Jacobi and SOR iteration matricesweakly cyclic of index \(p\) matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• Over- and underrelaxation for linear systems with weakly cyclic Jacobi matrices of index p
• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• Minimization of the spectral norm of the SOR operator in a mixed case
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• Convergence of block iterative methods applied to sparse least-squares problems
• Convergence of a direct-iterative method for large-scale least-squares problems
• Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator
• Optimality relationships for p-cyclic SOR
• On the convergence domains of the \(p\)-cyclic SOR
• Minimization of \(\ell_2\)-norms of the SOR and MSOR operators
• An application of p-cyclic matrices, for solving periodic parabolic problems
• Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence
• Euclidean Norm Minimization of the SOR Operators
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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