The upper bound of the spectral radius of M-1N and convergence of some iterative methods

DOI10.1080/00207169408804327zbMath0828.65029OpenAlexW2165193896MaRDI QIDQ4844584

Xinmin Wang, David J. Evans

Publication date: 10 October 1995

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

Full work available at URL: https://doi.org/10.1080/00207169408804327

zbMATH Keywords

upper boundsspectral radiusiterative methodssuccessive overrelaxationconvergence domainsaccelerated overrelaxationirreducibly diagonally dominant matricesGAOR iterative methodsGSOR iterative methods

Mathematics Subject Classification ID

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

Related Items (6)

The accelerated overrelaxation quadrant interlocking iterative method ⋮ An improvement on a new upper bound for moduli of eigenvalues of iterative matrices ⋮ An iterative method for positive real systems ⋮ Convergence theory for the general GAOR type iterative method and the MSOR iterative method applied to \(H\)-matrices ⋮ Convergence of the interval and point TOR method ⋮ Some improvements on the convergence of the interval maor method

Cites Work

• Unnamed Item
• Extended convergence regions for the AOR method
• The principle of extrapolation in connection with the accelerated overrelaxation method
• Generalized diagonal dominance in connection with the accelerated overrelaxation (AOR) method
• Generalized Stein-Rosenberg theorems for the regular splittings and convergence of some generalized iterative methods
• On the generalisation of the basic iterative methods for the solution of linear systems
• Convergence of Matrix Iterations Subject to Diagonal Dominance

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