Norm-based convergence bounds are established for nonsymmetric algebraic V-cycle multigrid methods using B-orthogonal projections, extending McCormick's V-cycle result.
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2026 3verdicts
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Develops two-level convergence theory for LS-AMG-DD showing coarse-space weak approximation property bounded by spectral cutoff threshold, yielding factored bounds for multiplicative cycles with block-Jacobi and overlapping Schwarz smoothers on Gram-representable SPD matrices.
New convergence framework and optimal interpolation/restriction operators for nonsymmetric two-grid AMG methods under general B-norms.
citing papers explorer
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Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
Norm-based convergence bounds are established for nonsymmetric algebraic V-cycle multigrid methods using B-orthogonal projections, extending McCormick's V-cycle result.
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Two-level convergence of Algebraic Multigrid with Overlapping Smoothers and Spectral Coarse Grids
Develops two-level convergence theory for LS-AMG-DD showing coarse-space weak approximation property bounded by spectral cutoff threshold, yielding factored bounds for multiplicative cycles with block-Jacobi and overlapping Schwarz smoothers on Gram-representable SPD matrices.
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Optimal transfer operators for nonsymmetric two-grid methods
New convergence framework and optimal interpolation/restriction operators for nonsymmetric two-grid AMG methods under general B-norms.