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Parallel Hybrid Preconditioning: Incomplete Factorization with Selective Sparse Approximate Inversion

https://doi.org/10.1137/080739987
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1096-9128(200002/03)12:2/3<53::aid-cpe473>3.0.co;2-bopenalex-snapshot
Towards a scalable hybrid sparse solver
inferredcites →https://doi.org/10.1002/nla.1680010405openalex-snapshot
ILUT: A dual threshold incomplete LU factorization
inferredcites →https://doi.org/10.1002/nla.327openalex-snapshot
A latency tolerant hybrid sparse solver using incomplete Cholesky factorization
inferredcites →https://doi.org/10.1007/bf01389450openalex-snapshot
The rate of convergence of Conjugate Gradients
inferredcites →https://doi.org/10.1016/s0168-9274(01)00115-5openalex-snapshot
BoomerAMG: A parallel algebraic multigrid solver and preconditioner
inferredcites →https://doi.org/10.1080/00207169208804097openalex-snapshot
Approximate inverse preconditionings for sparse linear systems
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/10.1137/040608271openalex-snapshot
Parallel Algebraic Multigrids for Structural Mechanics
inferredcites →https://doi.org/10.1137/040615729openalex-snapshot
Reducing Complexity in Parallel Algebraic Multigrid Preconditioners
inferredcites →https://doi.org/10.1137/060675940openalex-snapshot
Combinatorial Preconditioners for Scalar Elliptic Finite-Element Problems
inferredcites →https://doi.org/10.1137/0613011openalex-snapshot
Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations
inferredcites →https://doi.org/10.1137/0614004openalex-snapshot
Factorized Sparse Approximate Inverse Preconditionings I. Theory
inferredcites →https://doi.org/10.1137/0614019openalex-snapshot
On Finding Supernodes for Sparse Matrix Computations
inferredcites →https://doi.org/10.1137/0710032openalex-snapshot
Nested Dissection of a Regular Finite Element Mesh
inferredcites →https://doi.org/10.1137/0715069openalex-snapshot
An Automatic Nested Dissection Algorithm for Irregular Finite Element Problems
inferredcites →https://doi.org/10.1137/0716027openalex-snapshot
Generalized Nested Dissection
inferredcites →https://doi.org/10.1137/0719024openalex-snapshot
Use of Iterative Refinement in the Solution of Sparse Linear Systems
inferredcites →https://doi.org/10.1137/0909021openalex-snapshot
Sparse Cholesky Factorization on a Local-Memory Multiprocessor
inferredcites →https://doi.org/10.1137/0909038openalex-snapshot
Modified Cyclic Algorithms for Solving Triangular Systems on Distributed-Memory Multiprocessors
inferredcites →https://doi.org/10.1137/0911033openalex-snapshot
A Fan-In Algorithm for Distributed Sparse Numerical Factorization
inferredcites →https://doi.org/10.1137/0914063openalex-snapshot
Block Sparse Cholesky Algorithms on Advanced Uniprocessor Computers
inferredcites →https://doi.org/10.1137/0914074openalex-snapshot
A Mapping Algorithm for Parallel Sparse Cholesky Factorization
inferredcites →https://doi.org/10.1137/0915044openalex-snapshot
Towards Polyalgorithmic Linear System Solvers for Nonlinear Elliptic Problems
inferredcites →https://doi.org/10.1137/1031001openalex-snapshot
The Evolution of the Minimum Degree Ordering Algorithm
inferredcites →https://doi.org/10.1137/1031003openalex-snapshot
Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976
inferredcites →https://doi.org/10.1137/s1064827594270415openalex-snapshot
Approximate Inverse Preconditioners via Sparse-Sparse Iterations
inferredcites →https://doi.org/10.1137/s1064827594271421openalex-snapshot
A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
inferredcites →https://doi.org/10.1137/s1064827594276552openalex-snapshot
Parallel Preconditioning with Sparse Approximate Inverses
inferredcites →https://doi.org/10.1137/s1064827598339402openalex-snapshot
Robustness and Scalability of Algebraic Multigrid
inferredcites →https://doi.org/10.1142/s0129626498000067openalex-snapshot
Efficient Parallel Sparse Triangular Solution Using Selective Inversion
inferredcites →https://doi.org/10.1145/355887.355893openalex-snapshot
Solving Sparse Symmetric Sets of Linear Equations by Preconditioned Conjugate Gradients
inferredcites →https://doi.org/10.1177/109434200101500106openalex-snapshot
Parallel Implementation and Practical Use of Sparse Approximate Inverse Preconditioners with a Priori Sparsity Patterns
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear 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/nla.2183openalex-snapshot
Multilevel approaches for FSAI 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.procs.2011.04.251openalex-snapshot
A Multilevel Cholesky Conjugate Gradients Hybrid Solver for Linear Systems with Multiple Right-hand Sides
inferred← citeshttps://doi.org/10.1109/ipdps.2012.51openalex-snapshot
Algebraic Block Multi-Color Ordering Method for Parallel Multi-Threaded Sparse Triangular Solver in ICCG Method
inferred← citeshttps://doi.org/10.1109/tpds.2012.286openalex-snapshot
Parallel Sparse Approximate Inverse Preconditioning on Graphic Processing Units
inferred← citeshttps://doi.org/10.1137/140968896openalex-snapshot
Fine-Grained Parallel Incomplete LU Factorization
inferred← citeshttps://doi.org/10.1137/16m1109503openalex-snapshot
A Robust Multilevel Approximate Inverse Preconditioner for Symmetric Positive Definite Matrices
inferred← citeshttps://doi.org/10.1137/20m1380624openalex-snapshot
RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
inferred← citeshttps://doi.org/10.1155/2012/894074openalex-snapshot
A Parallel Wavelet‐Based Algebraic Multigrid Black‐Box Solver and Preconditioner
inferred← citeshttps://doi.org/10.3390/app151910436openalex-snapshot
Efficient Sparse Quasi-Newton Algorithm for Multi-Physics Coupled Acid Fracturing Model in Carbonate Reservoirs
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