On algebraic multi-level methods for non-symmetric systems --- comparison results
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Publication:952047
DOI10.1016/j.laa.2008.04.045zbMath1156.65032OpenAlexW2029219254MaRDI QIDQ952047
Reinhard Nabben, Christian Mense
Publication date: 6 November 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.045
comparison of methodsblock factorizationblock Jacobi methodalgebraic multigrid (AMG)AMLI methodnon-symmetric \(M\)-matricesalgebraic multi-level methodsblock Gauss-Seidel methodsMarkov chain modeling
Computational methods for sparse matrices (65F50) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10)
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Uses Software
Cites Work
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- Comparisons of regular splittings of matrices
- On algebraic multilevel methods for non-symmetric systems - convergence results
- Algebraic multilevel preconditioning methods. I
- Comparisons of weak regular splittings and multisplitting methods
- Some comparison theorems for weak nonnegative splittings of bounded operators
- Nonnegative splitting theory
- Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
- Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods
- General highly accurate algebraic coarsening
- On the algebraic construction of multilevel transfer operators
- Multilevel ILU decomposition
- Weighted max norms, splittings, and overlapping additive Schwarz iterations
- Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
- On the abstract theory of additive and multiplicative Schwarz algorithms
- Algebraic Multilevel Preconditioning Methods, II
- Algebraic multigrid and algebraic multilevel methods: a theoretical comparison
- Adaptive reduction-based AMG
- Iterative Methods by Space Decomposition and Subspace Correction
- Algebraic multilevel iteration method for Stieltjes matrices
- ARMS: an algebraic recursive multilevel solver for general sparse linear systems
- Aggregation-Based Algebraic Multilevel Preconditioning
- Algebraic theory of multiplicative Schwarz methods
