A Parallel Sparse Direct Solver via Hierarchical DAG Scheduling
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Publication:5270706
DOI10.1145/2629641zbMath1369.65046OpenAlexW2028035197WikidataQ113310289 ScholiaQ113310289MaRDI QIDQ5270706
Publication date: 30 June 2017
Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1145/2629641
Gaussian eliminationsparse matrixdirected acyclic graphdirect methodmulticoretask parallelismsupernodesopenMPmultifrontalLUunassembled hypermatrix
Computational methods for sparse matrices (65F50) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical algorithms for specific classes of architectures (65Y10)
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Cites Work
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Comparison of OpenMP 3.0 and other task parallel frameworks on unbalanced task graphs
- Sparse direct factorizations through unassembled hyper-matrices
- Monitoring the stability of the triangular factorization of a sparse matrix
- On fast factorization pivoting methods for sparse symmetric indefinite systems
- Task scheduling for parallel sparse Cholesky factorization
- Parallel implementation of multifrontal schemes
- The analysis of a nested dissection algorithm
- Fine-Grained Multithreading for the Multifrontal $QR$ Factorization of Sparse Matrices
- Programming matrix algorithms-by-blocks for thread-level parallelism
- Direct Methods for Sparse Linear Systems
- The problem of selecting the shape functions for ap-type finite element
- A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations
- The Multifrontal Solution of Indefinite Sparse Symmetric Linear
- The Multifrontal Method for Sparse Matrix Solution: Theory and Practice
- On Finding Supernodes for Sparse Matrix Computations
- On George’s Nested Dissection Method
- A Supernodal Approach to Sparse Partial Pivoting
- A Mapping Algorithm for Parallel Sparse Cholesky Factorization
- New basis functions and computational procedures for p‐version finite element analysis
- Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
- The influence of relaxed supernode partitions on the multifrontal method
- A set of level 3 basic linear algebra subprograms
- Design of a Multicore Sparse Cholesky Factorization Using DAGs
- Computing with hp-ADAPTIVE FINITE ELEMENTS
