Semiconvergence of extrapolated iterative methods for singular linear systems
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Publication:1301796
DOI10.1016/S0377-0427(99)00060-6zbMath0930.65033WikidataQ126382687 ScholiaQ126382687MaRDI QIDQ1301796
Publication date: 12 September 1999
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
semiconvergenceAOR methodregular splittingnonnegative splittingSOR methodJOR methodirreducible singular \(M\)-matrix
Related Items (8)
Multistep matrix splitting iteration preconditioning for singular linear systems ⋮ Semiconvergence of extrapolated iterative method for singular linear systems ⋮ Equivalent conditions for the convergence of extrapolated method for linear systems ⋮ Complex-extrapolated MHSS iteration method for singular complex symmetric linear systems ⋮ An iterative method for symmetric positive semidefinite linear system of equations ⋮ On parallel multisplitting iterative methods for singular linear systems ⋮ Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices ⋮ On the semiconvergence of extrapolated iterative methods for singular linear systems
Cites Work
- Comparisons of nonnegative splittings of matrices
- Optimum strategy and nonstationary iterative methods for the solution of singular linear systems
- The principle of extrapolation in connection with the accelerated overrelaxation method
- Theorems of Stein-Rosenberg type. III. The singular case
- Algebraic eigenspaces of nonnegative matrices
- M-matrices leading to semiconvergent splittings
- Convergent nonnegative matrices and iterative methods for consistent linear systems
- On the Optimization of the Classical Iterative Schemes for the Solution of Complex Singular Linear Systems
- Semi-Iterative and Iterative Methods for Singular M-Matrices
- On the Convergence of Some Generalized Preconditioned Iterative Methods
- Accelerated Overrelaxation Method
- On the Solution of Singular and Semidefinite Linear Systems by Iteration
- Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
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