Exact SOR convergence regions for a general class of \(p\)-cyclic matrices

DOI10.1007/BF01739821zbMath0839.65035MaRDI QIDQ1907868

Apostolos Hadjidimos, Dimitrios Noutsos, Michael Tzoumas

Publication date: 16 June 1996

Published in: BIT (Search for Journal in Brave)

spectral radius iterative methods successive overrelaxation relaxation parameter Jacobi matrix convergence regions SOR method \(p\)-cyclic block matrices hypocycloid curves

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (2)

Semiconvergence of block SOR method for singular linear systems with \(p\)-cyclic matrices ⋮ Successive overrelaxation (SOR) and related methods

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
Optimal successive overrelaxation iterative methods for \(p\)-cyclic matrices
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
On the solution of singular linear systems of algebraic equations by semiiterative methods
On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices
The analysis of k-step iterative methods for linear systems from summability theory
Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator
On the optimum relaxation factor associated with \(p\)-cyclic matrices
Characterization of matrix variate normal distributions
Optimality relationships for p-cyclic SOR
Optimal stretched parameters for the SOR iterative method
Optimal \(p\)-cyclic SOR
On the convergence domains of the \(p\)-cyclic SOR
Generalised consistent ordering and the optimum successive overrelaxation factor
On generalizations of the theory of consistent orderings for successive overrelaxation methods
On the Optimization of the Classical Iterative Schemes for the Solution of Complex Singular Linear Systems
On the convergence of monoparametrick-step iterative euler methods for the solution of linear systems
On complex successive overrelaxation
Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence
An Operator Relation of the Ussor and the Jacobi Iteration Matrices of a p-Cyclic Matrix
Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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