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Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning

https://doi.org/10.1137/080727695
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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/nla.1680010405openalex-snapshot
ILUT: A dual threshold incomplete LU factorization
inferredcites →https://doi.org/10.1002/nla.329openalex-snapshot
AMLI preconditioner for the p ‐version of the FEM
inferredcites →https://doi.org/10.1002/nme.1620200511openalex-snapshot
A robust incomplete Choleski‐conjugate gradient algorithm
inferredcites →https://doi.org/10.1006/jcph.2002.7176openalex-snapshot
Preconditioning Techniques for Large Linear Systems: A Survey
inferredcites →https://doi.org/10.1007/bf01932738openalex-snapshot
The effect of ordering on preconditioned conjugate gradients
inferredcites →https://doi.org/10.1007/s101070100263openalex-snapshot
Benchmarking optimization software with performance profiles
inferredcites →https://doi.org/10.1016/0021-9991(78)90098-0openalex-snapshot
The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(86)90121-7openalex-snapshot
A general incomplete block-matrix factorization method
inferredcites →https://doi.org/10.1016/0024-3795(91)90383-8openalex-snapshot
A new preconditioning technique for solving large sparse linear systems
inferredcites →https://doi.org/10.1016/0024-3795(91)90398-gopenalex-snapshot
Block SSOR preconditionings for high-order 3D FE systems. II. Incomplete BSSOR preconditionings
inferredcites →https://doi.org/10.1016/j.parco.2007.12.003openalex-snapshot
On finding approximate supernodes for an efficient block-ILU(k) factorization
inferredcites →https://doi.org/10.1016/s0045-7825(01)00235-3openalex-snapshot
Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics
inferredcites →https://doi.org/10.1016/s0168-9274(01)00115-5openalex-snapshot
BoomerAMG: A parallel algebraic multigrid solver and preconditioner
inferredcites →https://doi.org/10.1016/s0377-0427(97)00171-4openalex-snapshot
Experimental study of ILU preconditioners for indefinite matrices
inferredcites →https://doi.org/10.1080/00207169208804110openalex-snapshot
Drop tolerance preconditioning for incompressible viscous flow
inferredcites →https://doi.org/10.1090/s0002-9947-1954-0059635-7openalex-snapshot
Iterative Methods for Solving Partial Difference Equations of Elliptic Type
inferredcites →https://doi.org/10.1090/s0025-5718-1980-0559197-0openalex-snapshot
An Incomplete Factorization Technique for Positive Definite Linear Systems
inferredcites →https://doi.org/10.1137/040608374openalex-snapshot
Multilevel Preconditioners Constructed From Inverse-Based ILUs
inferredcites →https://doi.org/10.1137/0611010openalex-snapshot
The Role of Elimination Trees in Sparse Factorization
inferredcites →https://doi.org/10.1137/0614019openalex-snapshot
On Finding Supernodes for Sparse Matrix Computations
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0724070openalex-snapshot
On Sparse Block Factorization Iterative Methods
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0916081openalex-snapshot
Compressed Graphs and the Minimum Degree Algorithm
inferredcites →https://doi.org/10.1137/0917009openalex-snapshot
Performance Issues for Iterative Solvers in Device Simulation
inferredcites →https://doi.org/10.1137/1034004openalex-snapshot
The Multifrontal Method for Sparse Matrix Solution: Theory and Practice
inferredcites →https://doi.org/10.1137/s1064827500376193openalex-snapshot
A Scalable Parallel Algorithm for Incomplete Factor Preconditioning
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/s1064827594270415openalex-snapshot
Approximate Inverse Preconditioners via Sparse-Sparse Iterations
inferredcites →https://doi.org/10.1137/s1064827595281575openalex-snapshot
Approximate Inverse Techniques for Block-Partitioned Matrices
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/10.1137/s106482759833913xopenalex-snapshot
A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
inferredcites →https://doi.org/10.1145/1089014.1089021openalex-snapshot
An overview of the Trilinos project
inferredcites →https://doi.org/10.1145/225545.225551openalex-snapshot
QMRPACK
inferredcites →https://doi.org/10.1145/290200.287639openalex-snapshot
An object-oriented framework for block preconditioning
inferredcites →https://doi.org/10.1145/355887.355893openalex-snapshot
Solving Sparse Symmetric Sets of Linear Equations by Preconditioned Conjugate Gradients
inferredcites →https://doi.org/10.1145/356044.356047openalex-snapshot
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
inferredcites →https://doi.org/10.1145/42288.42291openalex-snapshot
An extended set of FORTRAN basic linear algebra subprograms
inferredcites →https://doi.org/10.1145/6497.6499openalex-snapshot
A compact row storage scheme for Cholesky factors using elimination trees
inferredcites →https://doi.org/10.1145/76909.76910openalex-snapshot
The influence of relaxed supernode partitions on the multifrontal method
inferredcites →https://doi.org/10.1145/77626.79170openalex-snapshot
A set of level 3 basic linear algebra subprograms
inferredcites →https://doi.org/10.1147/rd.411.0171openalex-snapshot
Fast and effective algorithms for graph partitioning and sparse-matrix ordering
inferredcites →https://doi.org/10.1177/109434200101500106openalex-snapshot
Parallel Implementation and Practical Use of Sparse Approximate Inverse Preconditioners with a Priori Sparsity Patterns
inferredcites →https://doi.org/10.2118/8252-paopenalex-snapshot
A Conjugate Gradient-Truncated Direct Method for the Iterative Solution of the Reservoir Simulation Pressure Equation

What points at this work

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

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HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs
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Incomplete Factorizations
inferred← citeshttps://doi.org/10.1007/s10543-013-0434-4openalex-snapshot
Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning
inferred← citeshttps://doi.org/10.1007/s11075-017-0378-xopenalex-snapshot
A supernodal block factorized sparse approximate inverse for non-symmetric linear systems
inferred← citeshttps://doi.org/10.1016/j.apnum.2020.12.023openalex-snapshot
A high performance level-block approximate LU factorization preconditioner algorithm
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Solving Hermitian positive definite systems using indefinite incomplete factorizations
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VBARMS: A variable block algebraic recursive multilevel solver for sparse linear systems
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Accurate and fast three-dimensional free vibration analysis of large complex structures using the finite element method
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Accelerating linear solvers for Stokes problems with C++ metaprogramming
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Using the VBARMS method in parallel computing
inferred← citeshttps://doi.org/10.1016/j.procs.2015.05.238openalex-snapshot
A Novel Factorized Sparse Approximate Inverse Preconditioner with Supernodes
inferred← citeshttps://doi.org/10.1016/j.procs.2016.05.498openalex-snapshot
Parallel Iterative Solvers for Ill-conditioned Problems with Heterogeneous Material Properties
inferred← citeshttps://doi.org/10.1088/1742-6596/180/1/012015openalex-snapshot
Factorization-based sparse solvers and preconditioners
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Iterative method for detecting and localizing islands within sparse matrixes using DSSim-RT
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An Iterative Method for Detecting and Localizing Islands Within Sparse Matrixes Using DSSim-RT
inferred← citeshttps://doi.org/10.1109/tmtt.2015.2432771openalex-snapshot
An Inverse-Based Multifrontal Block Incomplete LU Preconditioner for the 3-D Finite-Element Eigenvalue Analysis of Lossy Slow-Wave Structures
inferred← citeshttps://doi.org/10.1134/s1995080222070083openalex-snapshot
Efficient Solution of 3D Elasticity Problems with Smoothed Aggregation Algebraic Multigrid and Block Arithmetics
inferred← citeshttps://doi.org/10.1137/120880860openalex-snapshot
Enhanced Block FSAI Preconditioning Using Domain Decomposition Techniques
inferred← citeshttps://doi.org/10.1137/130917582openalex-snapshot
On Positive Semidefinite Modification Schemes for Incomplete Cholesky Factorization
inferred← citeshttps://doi.org/10.1137/140956026openalex-snapshot
The Use of Supernodes in Factored Sparse Approximate Inverse Preconditioning
inferred← citeshttps://doi.org/10.1137/15m1053256openalex-snapshot
Enhancing Performance and Robustness of ILU Preconditioners by Blocking and Selective Transposition
inferred← citeshttps://doi.org/10.1145/1916461.1916467openalex-snapshot
A Supernodal Approach to Incomplete LU Factorization with Partial Pivoting
inferred← citeshttps://doi.org/10.1145/2331130.2331132openalex-snapshot
An Empirical Analysis of the Performance of Preconditioners for SPD Systems
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HSL_MI28
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HIFIR: Hybrid Incomplete Factorization with Iterative Refinement for Preconditioning Ill-Conditioned and Singular Systems
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Preconditioning Complex Symmetric Linear Systems
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Optimizing Sparse Data Structures for Matrix-vector Multiply
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High Performance Block Incomplete LU Factorization
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Preconditioning for Sparse Linear Systems at the Dawn of the 21st Century: History, Current Developments, and Future Perspectives
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Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids
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