Generalized diagonal dominance in connection with the accelerated overrelaxation (AOR) method

DOI10.1007/BF01934396zbMath0477.65031OpenAlexW1978183383MaRDI QIDQ1161034

Maria Izabel R.Martins

Publication date: 1982

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01934396

zbMATH Keywords

H-matricesaccelerated overrelaxation methodintervals of convergence22, 73-78 (1982)generalized diagonal dominant matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

On the convergence of the modified overrelaxation method ⋮ Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations ⋮ A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques ⋮ A selected method for the optimal parameters of the AOR iteration ⋮ A survey of AOR and TOR methods ⋮ Extended convergence regions for the AOR method ⋮ On exact convergence of the accelerated overrelaxation method when applied to consistently ordered systems ⋮ On the convergence of the extrapolated aor method ⋮ The upper bound of the spectral radius of M^-1N and convergence of some iterative methods ⋮ On the convergence of some generalized iterative methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The principle of extrapolation in connection with the accelerated overrelaxation method
• On recurring theorems on diagonal dominance
• Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen
• On an Accelerated Overrelaxation Iterative Method for Linear Systems With Strictly Diagonally Dominant Matrix
• Note on Irreducible Diagonally Dominant Matrices and the Convergence of the AOR Iterative Method
• Accelerated Overrelaxation Method