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A New Sparse $LDL^T$ Solver Using A Posteriori Threshold Pivoting

https://doi.org/10.1137/18m1225963
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What this work says

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

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StarPU: a unified platform for task scheduling on heterogeneous multicore architectures
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Porting the PLASMA Numerical Library to the OpenMP Standard
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0428694-0openalex-snapshot
Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems
inferredcites →https://doi.org/10.1093/imamat/23.2.235openalex-snapshot
Direct Solution of Sets of Linear Equations whose Matrix is Sparse, Symmetric and Indefinite
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/10.1145/2756548openalex-snapshot
A Sparse Symmetric Indefinite Direct Solver for GPU Architectures
inferredcites →https://doi.org/10.1145/356044.356047openalex-snapshot
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
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A fast storage allocator
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MA57---a code for the solution of sparse symmetric definite and indefinite systems
inferredcites →https://doi.org/10.3934/naco.2018014openalex-snapshot
Experiments with sparse Cholesky using a sequential task-flow implementation

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4684496openalex-extracted
Fully Parallel and Pipelined Sparse Direct Solver for Large Symmetric Indefinite Finite Element Problems
inferred← citeshttps://doi.org/10.2139/ssrn.4814522openalex-extracted
Fully Parallel and Pipelined Sparse Direct Solver for Large Symmetric Indefinite Finite Element Problems
inferred← citeshttps://doi.org/10.1002/nme.6943openalex-snapshot
DeepPhysics: A physics aware deep learning framework for real‐time simulation
inferred← citeshttps://doi.org/10.1007/s11227-022-04555-8openalex-snapshot
A survey of HPC algorithms and frameworks for large-scale gradient-based nonlinear optimization
inferred← citeshttps://doi.org/10.1016/j.camwa.2024.10.017openalex-snapshot
Fully parallel and pipelined sparse direct solver for large symmetric indefinite finite element problems
inferred← citeshttps://doi.org/10.1016/j.compchemeng.2024.108627openalex-snapshot
Utilizing modern computer architectures to solve mathematical optimization problems: A survey
inferred← citeshttps://doi.org/10.1016/j.ijepes.2023.109517openalex-snapshot
GPU-resident sparse direct linear solvers for alternating current optimal power flow analysis
inferred← citeshttps://doi.org/10.1016/j.jocs.2024.102312openalex-snapshot
A new hybrid GPU-CPU sparse LDLT factorization algorithm with GPU and CPU factorizing concurrently
inferred← citeshttps://doi.org/10.1016/j.parco.2024.103123openalex-snapshot
Iterative methods in GPU-resident linear solvers for nonlinear constrained optimization
inferred← citeshttps://doi.org/10.1137/21m1450112openalex-snapshot
Leveraging GPU Batching for Scalable Nonlinear Programming through Massive Lagrangian Decomposition
inferred← citeshttps://doi.org/10.70675/df1cafd1zb943z4f5ez9019z83d650b09eabopenalex-snapshot
A-posteriori-steered and adaptive ρ-robust multigrid solvers
inferred← citeshttps://doi.org/10.70675/ec57c07cz00a7z440bz8974z5fded7940a00openalex-snapshot
Data-driven computational biomechanics using deep neural networks : application to augmented surgery
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