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An algebraic preconditioning method for M‐matrices: linear versus non‐linear multilevel iteration

https://doi.org/10.1002/nla.281
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A nearly optimal preconditioning based on recursive red-black orderings
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Optimal v-cycle algebraic multilevel preconditioning
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Variable‐step multilevel preconditioning methods, I: Self‐adjoint and positive definite elliptic problems
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Algebraic multilevel iteration method for Stieltjes matrices
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Multi-Grid Methods and Applications
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On the multi-level splitting of finite element spaces
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A generalized conjugate gradient, least square method
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Algebraic multilevel preconditioning methods. I
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Nested grids ILU-decomposition (NGILU)
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Hybrid $V$-cycle algebraic multilevel preconditioners
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A Black Box Generalized Conjugate Gradient Solver with Inner Iterations and Variable-Step Preconditioning
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Algebraic Multilevel Preconditioning Methods, II
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The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices
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Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems
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Optimal Order Preconditioning of Finite Difference Matrices
inferredcites →https://doi.org/10.1137/s1064827599362314openalex-snapshot
Flexible Conjugate Gradients

What points at this work

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Recursive Krylov‐based multigrid cycles
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Multilevel algorithms for Rannacher–Turek finite element approximation of 3D elliptic problems
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Robust algebraic multilevel preconditioning in H(curl) and H(div)
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Algebraic multilevel preconditioning in isogeometric analysis: Construction and numerical studies
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Multigrid methods for convection–diffusion problems discretized by a monotone scheme
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Multilevel Preconditioning of Two-dimensional Elliptic Problems Discretized by a Class of Discontinuous Galerkin Methods
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Additive Schur Complement Approximation and Application to Multilevel Preconditioning
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Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid
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Robust Multilevel Methods for General Symmetric Positive Definite Operators
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