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Multifrontal Factorization of Sparse SPD Matrices on GPUs

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-01970-8_87openalex-snapshot
Solving Sparse Linear Systems on NVIDIA Tesla GPUs
inferredcites →https://doi.org/10.1007/978-3-642-19328-6_11openalex-snapshot
A Scalable High Performant Cholesky Factorization for Multicore with GPU Accelerators
inferredcites →https://doi.org/10.1007/978-3-642-19328-6_9openalex-snapshot
Multifrontal Computations on GPUs and Their Multi-core Hosts
inferredcites →https://doi.org/10.1109/71.598277openalex-snapshot
Highly scalable parallel algorithms for sparse matrix factorization
inferredcites →https://doi.org/10.1109/sc.2005.42openalex-snapshot
LU-GPU: Efficient Algorithms for Solving Dense Linear Systems on Graphics Hardware
inferredcites →https://doi.org/10.1109/sc.2008.5214359openalex-snapshot
Benchmarking GPUs to tune dense linear algebra
inferredcites →https://doi.org/10.1137/1034004openalex-snapshot
The Multifrontal Method for Sparse Matrix Solution: Theory and Practice
inferredcites →https://doi.org/10.1145/1198555.1198781openalex-snapshot
Sparse matrix solvers on the GPU
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
inferredcites →https://doi.org/10.1145/1654059.1654061openalex-snapshot
Sparse matrix factorization on massively parallel computers
inferredcites →https://doi.org/10.1145/356044.356047openalex-snapshot
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
inferredcites →https://doi.org/10.1145/882262.882364openalex-snapshot
Sparse matrix solvers on the GPU
inferredcites →https://doi.org/10.1147/rd.502.0223openalex-snapshot
Self-adapting numerical software (SANS) effort
inferredcites →https://doi.org/10.5555/1413370.1413402openalex-snapshot
Benchmarking GPUs to tune dense linear algebra
inferredcites →https://doi.org/10.5555/509058.509096openalex-snapshot
Automatically Tuned Linear Algebra Software

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/cpe.3158openalex-snapshot
Supernodal sparse Cholesky factorization on graphics processing units
inferred← citeshttps://doi.org/10.1007/978-3-319-09873-9_41openalex-snapshot
A Distributed CPU-GPU Sparse Direct Solver
inferred← citeshttps://doi.org/10.1007/978-3-319-43659-3_49openalex-snapshot
Effective Minimally-Invasive GPU Acceleration of Distributed Sparse Matrix Factorization
inferred← citeshttps://doi.org/10.1007/978-3-319-53429-9_2openalex-snapshot
Related Work
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A Hybrid CPU-GPU Multifrontal Optimizing Method in Sparse Cholesky Factorization
inferred← citeshttps://doi.org/10.1007/s11831-013-9082-8openalex-snapshot
GPU Acceleration for FEM-Based Structural Analysis
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2017.09.001openalex-snapshot
An improved direct linear equation solver using multi-GPU in multi-body dynamics
inferred← citeshttps://doi.org/10.1016/j.camwa.2014.01.013openalex-snapshot
Performance models and workload distribution algorithms for optimizing a hybrid CPU–GPU multifrontal solver
inferred← citeshttps://doi.org/10.1016/j.jpdc.2019.03.004openalex-snapshot
A communication-avoiding 3D algorithm for sparse LU factorization on heterogeneous systems
inferred← citeshttps://doi.org/10.1016/j.parco.2016.06.004openalex-snapshot
Accelerating sparse Cholesky factorization on GPUs
inferred← citeshttps://doi.org/10.1017/s0962492916000076openalex-snapshot
A survey of direct methods for sparse linear systems
inferred← citeshttps://doi.org/10.1109/access.2022.3193785openalex-snapshot
Algorithmic Advancements and a Comparative Investigation of Left and Right Looking Sparse LU Factorization on GPU Platform for Circuit Simulation
inferred← citeshttps://doi.org/10.1109/asap.2015.7245714openalex-snapshot
GPU-based multifrontal optimizing method in sparse Cholesky factorization
inferred← citeshttps://doi.org/10.1109/ia335182.2014.10612387openalex-snapshot
Accelerating Sparse Cholesky Factorization on GPUs
inferred← citeshttps://doi.org/10.1109/ipdps.2015.104openalex-snapshot
A Sparse Direct Solver for Distributed Memory Xeon Phi-Accelerated Systems
inferred← citeshttps://doi.org/10.1109/ipdpsw.2014.9openalex-snapshot
Taking Advantage of Hybrid Systems for Sparse Direct Solvers via Task-Based Runtimes
inferred← citeshttps://doi.org/10.1109/jproc.2018.2868961openalex-snapshot
Autotuning Numerical Dense Linear Algebra for Batched Computation With GPU Hardware Accelerators
inferred← citeshttps://doi.org/10.1109/mdat.2020.2974910openalex-snapshot
GLU3.0: Fast GPU-based Parallel Sparse LU Factorization for Circuit Simulation
inferred← citeshttps://doi.org/10.1109/pact.2019.00033openalex-snapshot
Adaptive Task Aggregation for High-Performance Sparse Solvers on GPUs
inferred← citeshttps://doi.org/10.1109/pesmg.2013.6673057openalex-snapshot
Exploration of multifrontal method with GPU in power flow computation
inferred← citeshttps://doi.org/10.1109/tcad.2020.3046572openalex-snapshot
GPU-Accelerated Adaptive PCBSO Mode-Based Hybrid RLA for Sparse LU Factorization in Circuit Simulation
inferred← citeshttps://doi.org/10.1109/tpds.2014.2312199openalex-snapshot
GPU-Accelerated Sparse LU Factorization for Circuit Simulation with Performance Modeling
inferred← citeshttps://doi.org/10.1109/tpds.2015.2481890openalex-snapshot
Implementation and Tuning of Batched Cholesky Factorization and Solve for NVIDIA GPUs
inferred← citeshttps://doi.org/10.1109/tpds.2019.2953852openalex-snapshot
Accelerating Sparse Cholesky Factorization on Sunway Manycore Architecture
inferred← citeshttps://doi.org/10.1109/tvlsi.2018.2858014openalex-snapshot
Dynamic GPU Parallel Sparse LU Factorization for Fast Circuit Simulation
inferred← citeshttps://doi.org/10.1145/2535753.2535763openalex-snapshot
Nonzero pattern analysis and memory access optimization in GPU-based sparse LU factorization for circuit simulation
inferred← citeshttps://doi.org/10.1145/2756548openalex-snapshot
A Sparse Symmetric Indefinite Direct Solver for GPU Architectures
inferred← citeshttps://doi.org/10.1145/3065870openalex-snapshot
Algorithm 980
inferred← citeshttps://doi.org/10.1145/3332466.3374533openalex-snapshot
A supernodal all-pairs shortest path algorithm
inferred← citeshttps://doi.org/10.1145/3458744.3473366openalex-snapshot
Design Considerations for GPU-based Mixed Integer Programming on Parallel Computing Platforms
inferred← citeshttps://doi.org/10.1145/3572848.3577486openalex-snapshot
End-to-End LU Factorization of Large Matrices on GPUs
inferred← citeshttps://doi.org/10.1145/3613424.3623783openalex-snapshot
Spatula: A Hardware Accelerator for Sparse Matrix Factorization
inferred← citeshttps://doi.org/10.1155/2017/3021591openalex-snapshot
Sparse Cholesky Factorization on FPGA Using Parameterized Model
inferred← citeshttps://doi.org/10.1587/transfun.e96.a.833openalex-snapshot
Parallel Sparse Cholesky Factorization on a Heterogeneous Platform
inferred← citeshttps://doi.org/10.48550/arxiv.1908.00204openalex-snapshot
GLU3.0: Fast GPU-based Parallel Sparse LU Factorization for Circuit Simulation
inferred← citeshttps://doi.org/10.5555/2688283.2688285openalex-snapshot
Accelerating sparse cholesky factorization on GPUs
inferred← citeshttps://doi.org/10.70675/9ea74bb0zcd35z4136zb61fz140e8e1ff3ecopenalex-snapshot
On the design of sparse hybrid linear solvers for modern parallel architectures
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