On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
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Publication:1112551
DOI10.1016/0378-4754(88)90001-8zbMath0659.65029OpenAlexW2079557221MaRDI QIDQ1112551
S. Galanis, D. Noustos, Apostolos Hadjidimos
Publication date: 1988
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0378-4754(88)90001-8
successive overrelaxationJacobi matrixregion of convergenceoptimal relaxation factorconsistently ordered k-cyclic matricesk-cyclic SOR methodstationary k-step iterative method
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Cites Work
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- \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
- Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
- Convergence of block iterative methods applied to sparse least-squares problems
- Convergence of a direct-iterative method for large-scale least-squares problems
- On different classes of monoparametric stationary iterative methods for the solution of linear systems
- How to embrace your spectrum for faster iterative results
- The analysis of k-step iterative methods for linear systems from summability theory
- On the optimization of a class of second order iterative schemes
- Iterationsverfahren und allgemeine Euler-Verfahren. (Iterative and general Euler methods)
- On the convergence of monoparametrick-step iterative euler methods for the solution of linear systems
- On complex successive overrelaxation
- Iterative Methods for Solving Partial Difference Equations of Elliptic Type