On the public citation graph
ARMS: an algebraic recursive multilevel solver for general sparse linear systems
0 signed · 150 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/1097-0363(20000730)33:6<767::aid-fld28>3.0.co;2-copenalex-snapshot
High-order ILU preconditioners for CFD problems
inferredcites →https://doi.org/10.1006/jcph.1996.0094openalex-snapshot
On the Algebraic Multigrid Method
inferredcites →https://doi.org/10.1007/bf01409783openalex-snapshot
Algebraic multilevel preconditioning methods. I
inferredcites →https://doi.org/10.1007/bf02941962openalex-snapshot
A class of multilevel recursive incomplete LU preconditioning techniques
inferredcites →https://doi.org/10.1016/0167-8191(89)90016-1openalex-snapshot
Independent set orderings for parallel matrix factorization by Gaussian elimination
inferredcites →https://doi.org/10.1016/0377-0427(95)00182-4openalex-snapshot
Nested grids ILU-decomposition (NGILU)
inferredcites →https://doi.org/10.1016/s0096-3003(00)00081-3openalex-snapshot
A grid-based multilevel incomplete LU factorization preconditioning technique for general sparse matrices
inferredcites →https://doi.org/10.1016/s0377-0427(97)00241-0openalex-snapshot
An algebraic multilevel iteration method for finite element matrices
inferredcites →https://doi.org/10.1137/0727092openalex-snapshot
Algebraic Multilevel Preconditioning Methods, II
inferredcites →https://doi.org/10.1137/0917054openalex-snapshot
ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/s0895479895291765openalex-snapshot
A Supernodal Approach to Sparse Partial Pivoting
inferredcites →https://doi.org/10.1137/s0895479898341268openalex-snapshot
BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices
inferredcites →https://doi.org/10.1137/s0895479899354251openalex-snapshot
A Multilevel Dual Reordering Strategy for Robust Incomplete LU Factorization of Indefinite Matrices
inferredcites →https://doi.org/10.1137/s1064827595281575openalex-snapshot
Approximate Inverse Techniques for Block-Partitioned Matrices
inferredcites →https://doi.org/10.1137/s1064827595287997openalex-snapshot
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
inferredcites →https://doi.org/10.1137/s106482759732753xopenalex-snapshot
BILUM: Block Versions of Multielimination and Multilevel ILU Preconditioner for General Sparse Linear Systems
inferredcites →https://doi.org/10.1145/214392.214398openalex-snapshot
Modification of the minimum-degree algorithm by multiple elimination
inferredcites →https://doi.org/10.2307/2007640openalex-snapshot
Computer Solution of Large Sparse Positive Definite Systems.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/cpe.1057openalex-snapshot
Component‐based iterative methods for sparse linear systems
inferred← citeshttps://doi.org/10.1002/cpe.1277openalex-snapshot
Usability levels for sparse linear algebra components
inferred← citeshttps://doi.org/10.1002/nla.1869openalex-snapshot
Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods
inferred← citeshttps://doi.org/10.1002/nla.2050openalex-snapshot
Towards an optimal condition number of certain augmented Lagrangian‐type saddle‐point matrices
inferred← citeshttps://doi.org/10.1002/nla.2051openalex-snapshot
Schur complement‐based domain decomposition preconditioners with low‐rank corrections
inferred← citeshttps://doi.org/10.1002/nla.2154openalex-snapshot
Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1002/nla.2400openalex-snapshot
HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs
inferred← citeshttps://doi.org/10.1002/nla.2469openalex-snapshot
On the evaluation of general sparse hybrid linear solvers
inferred← citeshttps://doi.org/10.1002/nla.2603openalex-snapshot
Adaptive Factored Incomplete Inverse Matrices
inferred← citeshttps://doi.org/10.1002/nla.294openalex-snapshot
Robust parameter‐free algebraic multilevel preconditioning
inferred← citeshttps://doi.org/10.1002/nla.314openalex-snapshot
Multilevel block factorizations in generalized hierarchical bases
inferred← citeshttps://doi.org/10.1002/nla.325openalex-snapshot
pARMS: a parallel version of the algebraic recursive multilevel solver
inferred← citeshttps://doi.org/10.1002/nla.435openalex-snapshot
Algebraic multigrid and algebraic multilevel methods: a theoretical comparison
inferred← citeshttps://doi.org/10.1002/nla.554openalex-snapshot
A multilevel Crout ILU preconditioner with pivoting and row permutation
inferred← citeshttps://doi.org/10.1002/nla.70038openalex-snapshot
A Framework for the Solution of Tree‐Coupled Saddle‐Point Systems
inferred← citeshttps://doi.org/10.1002/nla.757openalex-snapshot
An efficient hierarchical preconditioner for quadratic discretizations of finite element problems
inferred← citeshttps://doi.org/10.1002/nme.2664openalex-snapshot
Multi‐level incomplete factorizations for the iterative solution of non‐linear finite element problems
inferred← citeshttps://doi.org/10.1006/jcph.2002.7176openalex-snapshot
Preconditioning Techniques for Large Linear Systems: A Survey
inferred← citeshttps://doi.org/10.1007/11558958_90openalex-snapshot
Adapting Distributed Scientific Applications to Run-Time Network Conditions
inferred← citeshttps://doi.org/10.1007/11666806_11openalex-snapshot
An Agglomerate Multilevel Preconditioner for Linear Isostasy Saddle Point Problems
inferred← citeshttps://doi.org/10.1007/3-540-31619-1_6openalex-snapshot
Parallel Algebraic Multigrid Methods — High Performance Preconditioners
inferred← citeshttps://doi.org/10.1007/3-540-46080-2_36openalex-snapshot
Parallel Iterative Methods in Modern Physical Applications
inferred← citeshttps://doi.org/10.1007/3-540-48086-2_49openalex-snapshot
pARMS: A Package for Solving General Sparse Linear Systems on Parallel Computers
inferred← citeshttps://doi.org/10.1007/978-1-4471-2437-5_11openalex-snapshot
A Preconditioned Scheme for Nonsymmetric Saddle-Point Problems
inferred← citeshttps://doi.org/10.1007/978-3-030-40907-4_14openalex-snapshot
Translating a Legacy Stack to Microservices Using a Modernization Facade with Performance Optimization for Container Deployments
inferred← citeshttps://doi.org/10.1007/978-3-030-58799-4_2openalex-snapshot
The Influence of Reordering Algorithms on the Convergence of a Preconditioned Restarted GMRES Method
inferred← citeshttps://doi.org/10.1007/978-3-031-22941-1_7openalex-snapshot
Distributed Parallel Bootstrap Adaptive Algebraic Multigrid Method
inferred← citeshttps://doi.org/10.1007/978-3-031-25820-6_10openalex-snapshot
Incomplete Factorizations
inferred← citeshttps://doi.org/10.1007/978-3-319-15260-8_10openalex-snapshot
Algebraic Preconditioning Approaches and Their Applications
inferred← citeshttps://doi.org/10.1007/978-3-319-78024-5_4openalex-snapshot
A Comparison of Soft-Fault Error Models in the Parallel Preconditioned Flexible GMRES
inferred← citeshttps://doi.org/10.1007/978-3-540-34469-8_11openalex-snapshot
Schur Complement Preconditioners for Distributed General Sparse Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-22167-5_12openalex-snapshot
Two-Level Block Preconditioners for Contact Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-55195-6_49openalex-snapshot
Variable Block Multilevel Iterative Solution of General Sparse Linear Systems
inferred← citeshttps://doi.org/10.1007/s00211-021-01267-8openalex-snapshot
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis
inferred← citeshttps://doi.org/10.1007/s00466-013-0916-xopenalex-snapshot
Sound transmission through a poroelastic layered panel
inferred← citeshttps://doi.org/10.1007/s10444-011-9176-5openalex-snapshot
Finite-element based sparse approximate inverses for block-factorized preconditioners
inferred← citeshttps://doi.org/10.1007/s10596-012-9324-0openalex-snapshot
A scalable multistage linear solver for reservoir models with multisegment wells
inferred← citeshttps://doi.org/10.1007/s10596-014-9400-8openalex-snapshot
Fast linear solver for diffusion problems with applications to pressure computation in layered domains
inferred← citeshttps://doi.org/10.1007/s11227-016-1728-5openalex-snapshot
Parallel multilevel recursive approximate inverse techniques for solving general sparse linear systems
inferred← citeshttps://doi.org/10.1007/s11831-022-09739-2openalex-snapshot
Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments
inferred← citeshttps://doi.org/10.1007/s40324-021-00282-xopenalex-snapshot
Graph coarsening: from scientific computing to machine learning
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2016.10.005openalex-snapshot
An adaptive multilevel factorized sparse approximate inverse preconditioning
inferred← citeshttps://doi.org/10.1016/j.apnum.2004.06.017openalex-snapshot
Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems
inferred← citeshttps://doi.org/10.1016/j.apnum.2009.09.003openalex-snapshot
Preconditioning Helmholtz linear systems
inferred← citeshttps://doi.org/10.1016/j.apnum.2015.12.007openalex-snapshot
A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems
inferred← citeshttps://doi.org/10.1016/j.apnum.2020.12.023openalex-snapshot
A high performance level-block approximate LU factorization preconditioner algorithm
inferred← citeshttps://doi.org/10.1016/j.cam.2011.11.016openalex-snapshot
Adaptive algebraic smoothers
inferred← citeshttps://doi.org/10.1016/j.cam.2013.04.036openalex-snapshot
VBARMS: A variable block algebraic recursive multilevel solver for sparse linear systems
inferred← citeshttps://doi.org/10.1016/j.cam.2014.06.028openalex-snapshot
Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems
inferred← citeshttps://doi.org/10.1016/j.cam.2016.08.033openalex-snapshot
PSPIKE+: A family of parallel hybrid sparse linear system solvers
inferred← citeshttps://doi.org/10.1016/j.camwa.2022.03.006openalex-snapshot
Domain decomposition based preconditioner combined local low-rank approximation with global corrections
inferred← citeshttps://doi.org/10.1016/j.cma.2003.12.051openalex-snapshot
A nested iterative scheme for indefinite linear systems in particulate flows
inferred← citeshttps://doi.org/10.1016/j.cma.2005.05.038openalex-snapshot
Parallel finite element computations in fluid mechanics
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113342openalex-snapshot
AIR multigrid with GMRES polynomials (AIRG) and additive preconditioners for Boltzmann transport
inferred← citeshttps://doi.org/10.1016/j.jpdc.2004.10.007openalex-snapshot
Distributed block independent set algorithms and parallel multilevel ILU preconditioners
inferred← citeshttps://doi.org/10.1016/j.laa.2008.04.045openalex-snapshot
On algebraic multi-level methods for non-symmetric systems – Comparison results
inferred← citeshttps://doi.org/10.1016/j.mcm.2011.07.032openalex-snapshot
Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions
inferred← citeshttps://doi.org/10.1016/j.parco.2010.11.002openalex-snapshot
Exploiting thread-level parallelism in the iterative solution of sparse linear systems
inferred← citeshttps://doi.org/10.1016/j.parco.2016.01.005openalex-snapshot
Using the VBARMS method in parallel computing
inferred← citeshttps://doi.org/10.1016/s0167-739x(03)00189-4openalex-snapshot
Using the parallel algebraic recursive multilevel solver in modern physical applications
inferred← citeshttps://doi.org/10.1016/s0377-0427(03)00480-1openalex-snapshot
Rational approximation preconditioners for sparse linear systems
inferred← citeshttps://doi.org/10.1051/m2an:2006004openalex-snapshot
A numerical study on Neumann-Neumann methods for hp approximations on geometrically refined boundary layer meshes II. Three-dimensional problems
inferred← citeshttps://doi.org/10.1080/00207160.2013.821115openalex-snapshot
Aggregation based on graph matching and inexact coarse grid solve for algebraic two grid
inferred← citeshttps://doi.org/10.1108/ec-12-2014-0261openalex-snapshot
A class of generic factored and multi-level recursive approximate inverse techniques for solving general sparse systems
inferred← citeshttps://doi.org/10.1109/cem.2015.7237411openalex-snapshot
Multilevel inverse-based factorization preconditioner for solving sparse linear systems in electromagnetics
inferred← citeshttps://doi.org/10.1109/cse.2008.36openalex-snapshot
A Parallel Direct/Iterative Solver Based on a Schur Complement Approach
inferred← citeshttps://doi.org/10.1109/icdm.2008.105openalex-snapshot
A Recommendation System for Preconditioned Iterative Solvers
inferred← citeshttps://doi.org/10.1109/ipdps.2003.1213182openalex-snapshot
Parallel multilevel block ILU preconditioning techniques for large sparse linear systems
inferred← citeshttps://doi.org/10.1109/ipdps.2003.1213469openalex-snapshot
A numerical study of some parallel algebraic preconditioners
inferred← citeshttps://doi.org/10.1109/synasc.2016.069openalex-snapshot
A Hybrid CPU/GPU Approach for the Parallel Algebraic Recursive Multilevel Solver pARMS
inferred← citeshttps://doi.org/10.1109/tap.2013.2260118openalex-snapshot
Automatic Basis Function Regularization for Integral Equations in the Presence of Ill-Shaped Mesh Elements
inferred← citeshttps://doi.org/10.1134/s0965542509060025openalex-snapshot
Post-filtering of IC2-factors for load balancing in parallel preconditioning
inferred← citeshttps://doi.org/10.1134/s0965542525700599openalex-snapshot
Adaptive Block Algebraic Multigrid Method for Multiphysics Problems
inferred← citeshttps://doi.org/10.1137/030602733openalex-snapshot
Multilevel ILU With Reorderings for Diagonal Dominance
inferred← citeshttps://doi.org/10.1137/040608258openalex-snapshot
A Parallel Multistage ILU Factorization Based on a Hierarchical Graph Decomposition
inferred← citeshttps://doi.org/10.1137/040608350openalex-snapshot
SchurRAS: A Restricted Version of the Overlapping Schur Complement Preconditioner
inferred← citeshttps://doi.org/10.1137/040608374openalex-snapshot
Multilevel Preconditioners Constructed From Inverse-Based ILUs
inferred← citeshttps://doi.org/10.1137/04061129xopenalex-snapshot
Aggregation-Based Algebraic Multilevel Preconditioning
inferred← citeshttps://doi.org/10.1137/050633032openalex-snapshot
MIQR: A Multilevel Incomplete QR Preconditioner for Large Sparse Least‐Squares Problems
inferred← citeshttps://doi.org/10.1137/060654062openalex-snapshot
A Greedy Strategy for Coarse-Grid Selection
inferred← citeshttps://doi.org/10.1137/060660928openalex-snapshot
Greedy Coarsening Strategies for Nonsymmetric Problems
inferred← citeshttps://doi.org/10.1137/070679673openalex-snapshot
Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
inferred← citeshttps://doi.org/10.1137/100799939openalex-snapshot
Domain-Decomposition-Type Methods for Computing the Diagonal of a Matrix Inverse
inferred← citeshttps://doi.org/10.1137/100818996openalex-snapshot
IMF: An Incomplete Multifrontal $LU$-Factorization for Element-Structured Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/110834986openalex-snapshot
Modification and Compensation Strategies for Threshold-based Incomplete Factorizations
inferred← citeshttps://doi.org/10.1137/120872735openalex-snapshot
Divide and Conquer Low-Rank Preconditioners for Symmetric Matrices
inferred← citeshttps://doi.org/10.1137/130908737openalex-snapshot
An Augmented Incomplete Factorization Approach for Computing the Schur Complement in Stochastic Optimization
inferred← citeshttps://doi.org/10.1137/130936610openalex-snapshot
Matrix Reordering Using Multilevel Graph Coarsening for ILU Preconditioning
inferred← citeshttps://doi.org/10.1137/130944230openalex-snapshot
Parallel Time Integration with Multigrid
inferred← citeshttps://doi.org/10.1137/15m1021830openalex-snapshot
An Algebraic Multilevel Preconditioner with Low-Rank Corrections for Sparse Symmetric Matrices
inferred← citeshttps://doi.org/10.1137/15m1053256openalex-snapshot
Enhancing Performance and Robustness of ILU Preconditioners by Blocking and Selective Transposition
inferred← citeshttps://doi.org/10.1137/16m1078409openalex-snapshot
A Rational Function Preconditioner For Indefinite Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/16m110486xopenalex-snapshot
Low-Rank Correction Methods for Algebraic Domain Decomposition Preconditioners
inferred← citeshttps://doi.org/10.1137/16m1109503openalex-snapshot
A Robust Multilevel Approximate Inverse Preconditioner for Symmetric Positive Definite Matrices
inferred← citeshttps://doi.org/10.1137/17m1143320openalex-snapshot
A Hierarchical Low Rank Schur Complement Preconditioner for Indefinite Linear Systems
inferred← citeshttps://doi.org/10.1137/20m1316445openalex-snapshot
A Power Schur Complement Low-Rank Correction Preconditioner for General Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/s1064827500373784openalex-snapshot
Multiresolution Approximate Inverse Preconditioners
inferred← citeshttps://doi.org/10.1137/s1064827501393393openalex-snapshot
Finding Exact and Approximate Block Structures for ILU Preconditioning
inferred← citeshttps://doi.org/10.1137/s1064827502405513openalex-snapshot
Block LU Preconditioners for Symmetric and Nonsymmetric Saddle Point Problems
inferred← citeshttps://doi.org/10.1142/s0219876218500500openalex-snapshot
A Class of Symmetric Factored Approximate Inverses and Hybrid Two-Level Solver
inferred← citeshttps://doi.org/10.1145/3536165openalex-snapshot
HIFIR: Hybrid Incomplete Factorization with Iterative Refinement for Preconditioning Ill-Conditioned and Singular Systems
inferred← citeshttps://doi.org/10.11650/tjm/181113openalex-snapshot
Compressed Hierarchical Schur Algorithm for Frequency-domain Analysis of Photonic Structures
inferred← citeshttps://doi.org/10.1177/10943420241304759openalex-snapshot
Coarsening and parallelism with reduction multigrids for hyperbolic Boltzmann transport
inferred← citeshttps://doi.org/10.12694/scpe.v7i2.368openalex-snapshot
A Class of Parallel Multilevel Sparse Approximate Inverse Preconditioners for Sparse Linear Systems
inferred← citeshttps://doi.org/10.1364/oe.26.016925openalex-snapshot
Accelerating convergence of an iterative solution of finite difference frequency domain problems via schur complement domain decomposition
inferred← citeshttps://doi.org/10.1515/rnam.2007.016openalex-snapshot
SparSol: sparse linear systems solver
inferred← citeshttps://doi.org/10.15439/2015f177openalex-snapshot
Using Random Butterfly Transformations in Parallel Schur Complement-Based Preconditioning
inferred← citeshttps://doi.org/10.2118/182723-msopenalex-snapshot
Multigrid Reduction for Coupled Flow Problems with Application to Reservoir Simulation
inferred← citeshttps://doi.org/10.21914/anziamj.v42i0.617openalex-snapshot
On residual smoothing in ILUM-type preconditioning
inferred← citeshttps://doi.org/10.3929/ethz-a-004604825openalex-snapshot
A numerical study on Neumann-Neumann methods for hp approximations on geometrically refined boundary layer meshes II: Three-dimensional problems
inferred← citeshttps://doi.org/10.3970/icces.2008.006.239openalex-snapshot
Multilevel Incomplete Factorizations for Non-Linear FE problems in Geomechanics
inferred← citeshttps://doi.org/10.3997/2214-4609.20143232openalex-snapshot
Fast Linear Solver for Pressure Computation in Layered Domains
inferred← citeshttps://doi.org/10.4208/eajam.061116.230417aopenalex-snapshot
JASMIN-Based Two-Dimensional Adaptive Combined Preconditioner for Radiation Diffusion Equations in Inertial Fusion Research
inferred← citeshttps://doi.org/10.4233/uuid:b242650e-9420-4cc2-b851-9bac0af62b0dopenalex-snapshot
Discontinuous Galerkin Methods: Linear Systems and Hidden Accuracy
inferred← citeshttps://doi.org/10.48550/arxiv.1104.3349openalex-snapshot
Purely algebraic domain decomposition methods for the incompressible Navier-Stokes equations
inferred← citeshttps://doi.org/10.48550/arxiv.1105.3468openalex-snapshot
Aggregation based on graph matching and inexact coarse grid solve for algebraic multigrid
inferred← citeshttps://doi.org/10.48550/arxiv.1908.10169openalex-snapshot
High Performance Block Incomplete LU Factorization
inferred← citeshttps://doi.org/10.4995/thesis/10251/4334openalex-snapshot
Estudio de librerías paralelas de libre distribución y algoritmos paralelos iterativos multipaso para la resolución de sistemas de ecuaciones lineales dispersos. Aplicación a la ecuación de difusión neutrónica.
inferred← citeshttps://doi.org/10.53846/goediss-2448openalex-snapshot
Generic Programming and Algebraic Multigrid for Stabilized Finite Element Methods
inferred← citeshttps://doi.org/10.5402/2012/127647openalex-snapshot
Preconditioning for Sparse Linear Systems at the Dawn of the 21st Century: History, Current Developments, and Future Perspectives
inferred← citeshttps://doi.org/10.5555/3213069.3213076openalex-snapshot
Convergence and resilience of the fine-grained parallel incomplete LU factorization for non-symmetric problems
inferred← citeshttps://doi.org/10.5772/intechopen.72043openalex-snapshot
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids
inferred← citeshttps://doi.org/10.5821/dissertation-2117-94761openalex-snapshot
The Fixed-Mesh ALE method applied to multiphysics problems using stabilized formulations
inferred← citeshttps://doi.org/10.70675/d568f732zf598z481aza8fcz023fecb8cd1copenalex-snapshot
A parallel iterative solver for large sparse linear systems enhanced with randomization and GPU accelerator, and its resilience to soft errors
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.