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A multilevel Crout ILU preconditioner with pivoting and row permutation

https://doi.org/10.1002/nla.554
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0363(19971015)25:7<739::aid-fld581>3.0.co;2-yopenalex-snapshot
ILUS: An incomplete LU preconditioner in sparse skyline format
inferredcites →https://doi.org/10.1002/nla.1680010405openalex-snapshot
ILUT: A dual threshold incomplete LU factorization
inferredcites →https://doi.org/10.1002/nla.279openalex-snapshot
ARMS: an algebraic recursive multilevel solver for general sparse linear systems
inferredcites →https://doi.org/10.1002/nla.456openalex-snapshot
ILUCP: a Crout ILU preconditioner with pivoting
inferredcites →https://doi.org/10.1007/s101070100263openalex-snapshot
Benchmarking optimization software with performance profiles
inferredcites →https://doi.org/10.1016/0024-3795(94)00192-8openalex-snapshot
A new pivoting strategy for Gaussian elimination
inferredcites →https://doi.org/10.1016/j.future.2003.07.011openalex-snapshot
Solving unsymmetric sparse systems of linear equations with PARDISO
inferredcites →https://doi.org/10.1016/s0024-3795(01)00385-8openalex-snapshot
A robust ILU with pivoting based on monitoring the growth of the inverse factors
inferredcites →https://doi.org/10.1023/a:1022326604210openalex-snapshot
Efficient Sparse LU Factorization with Left-Right Looking Strategy on Shared Memory Multiprocessors
inferredcites →https://doi.org/10.1137/030602022openalex-snapshot
Alternative Weighted Dropping Strategies for ILUTP
inferredcites →https://doi.org/10.1137/030602733openalex-snapshot
Multilevel ILU With Reorderings for Diagonal Dominance
inferredcites →https://doi.org/10.1137/040608374openalex-snapshot
Multilevel Preconditioners Constructed From Inverse-Based ILUs
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/s0895479897317661openalex-snapshot
The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices
inferredcites →https://doi.org/10.1137/s0895479899358443openalex-snapshot
On Algorithms For Permuting Large Entries to the Diagonal of a Sparse Matrix
inferredcites →https://doi.org/10.1137/s1064827502403411openalex-snapshot
A Robust and Efficient ILU that Incorporates the Growth of the Inverse Triangular Factors
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/s1064827599361308openalex-snapshot
Preconditioning Highly Indefinite and Nonsymmetric Matrices
inferredcites →https://doi.org/10.1145/1236463.1236465openalex-snapshot
A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Robust and efficient multilevel‐ILU preconditioning of hybrid Newton–GMRES for incompressible Navier–Stokes equations
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/nme.2420openalex-snapshot
Numerical approximation of incremental infinitesimal gradient plasticity
inferred← citeshttps://doi.org/10.1002/pamm.200700911openalex-snapshot
ILU++: A new software package for solving sparse linear systems with iterative methods
inferred← citeshttps://doi.org/10.1002/pamm.200810821openalex-snapshot
Symmetric Permutations for I‐Matrices to Avoid Small Pivots During Incomplete Factorization
inferred← citeshttps://doi.org/10.1007/s00607-009-0066-3openalex-snapshot
Parallel algorithms for solving linear systems with sparse triangular matrices
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Multiphasic Intervertebral Disc Mechanics: Theory and Application
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Graph coarsening: from scientific computing to machine learning
inferred← citeshttps://doi.org/10.1016/j.vlsi.2015.07.005openalex-snapshot
Parallel GMRES solver for fast analysis of large linear dynamic systems on GPU platforms
inferred← citeshttps://doi.org/10.1080/10407790.2013.831682openalex-snapshot
A Pressure-Based Segregated Solver for Incompressible Flow on Unstructured Grids
inferred← citeshttps://doi.org/10.1109/iccad.2013.6691171openalex-snapshot
Parallel power grid analysis using preconditioned GMRES solver on CPU-GPU platforms
inferred← citeshttps://doi.org/10.1137/060669176openalex-snapshot
Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization
inferred← citeshttps://doi.org/10.1137/20m1364126openalex-snapshot
Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems
inferred← citeshttps://doi.org/10.1137/20m1387985openalex-snapshot
Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge--Kutta Schemes for Parabolic PDEs
inferred← citeshttps://doi.org/10.1145/1486525.1486526openalex-snapshot
A numerical evaluation of preprocessing and ILU-type preconditioners for the solution of unsymmetric sparse linear systems using iterative methods
inferred← citeshttps://doi.org/10.11588/emclpp.2012.05.11704openalex-snapshot
Scalability Study of HiFlow3 based on a Fluid Flow Channel Benchmark
inferred← citeshttps://doi.org/10.1515/cmam-2025-0170openalex-snapshot
Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers
inferred← citeshttps://doi.org/10.5555/2561828.2561936openalex-snapshot
Parallel power grid analysis using preconditioned GMRES solver on CPU-GPU platforms
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