On the convergence of the extrapolated aor method

DOI10.1080/00207169208804083zbMath0754.65032OpenAlexW2055620668MaRDI QIDQ4017021

David J. Evans, Maria Izabel R.Martins

Publication date: 16 January 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804083

zbMATH Keywords

convergenceextrapolationdiagonally dominant matrixblock \(H\)- matrixextrapolated accelerated overrelaxationlarge nonsingular linear systems

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (6)

The accelerated overrelaxation quadrant interlocking iterative method ⋮ On the convergence of the generalized AOR method ⋮ A convergence analysis of SOR iterative methods for linear systems with weak \(H\)-matrices ⋮ Iterative solvers ofAx = bderived from ode's numerical integration methods ⋮ Main convergence theorems for the improved sor method with orderings ⋮ Error Bounds for some overrelaxation methods

Cites Work

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• Extended convergence regions for the AOR method
• Generalized diagonal dominance in connection with the accelerated overrelaxation (AOR) method
• On recurring theorems on diagonal dominance
• Extrapolated Iterative Methods for Linear Systems Approximation
• On the Convergence of Some Generalized Preconditioned Iterative Methods
• Convergence Criteria for Successive Overrelaxation
• Convergence of Matrix Iterations Subject to Diagonal Dominance

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