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SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems
Abstract
We present the main algorithmic features in the software package SuperLU_DIST, a distributed-memory sparse direct solver for large sets of linear equations. We give in detail our parallelization strategies, with a focus on scalability issues, and demonstrate the software's parallel performance and scalability on current machines. The solver is based on sparse Gaussian elimination, with an innovative static pivoting strategy proposed earlier by the authors. The main advantage of static pivoting over classical partial pivoting is that it permits a priori determination of data structures and communication patterns, which lets us exploit techniques used in parallel sparse Cholesky algorithms to better parallelize both LU decomposition and triangular solution on large-scale distributed machines.
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Cited by
Auto-tuning a high-level language targeted to GPU codes
Grauer-Gray, S., Xu, L., Searles, R., Ayalasomayajula, S., & Cavazos, J. (2012) · 2012 Innovative Parallel Computing (InPar) · doi:10.1109/inpar.2012.6339595 · Cited by 470
An overview of SuperLU: Algorithms, implementation, and user interface
Li, X. S. (2005) · ACM Transactions on Mathematical Software · doi:10.1145/1089014.1089017 · Cited by 467
Self-citation
Metadata
- Authors
- Li, X. S., & Demmel, J. W.
- Venue
- ACM Transactions on Mathematical Software
- Published
- 2003-06
- Volume
- 29
- Issue
- 2
- Pages
- 110-140
- ISSN
- 0098-3500 (ISSN-L)
- 1557-7295
- OpenAlex
- W2141331848
- Cited by
- 628
- References
- 0
- FWCI
- 21.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems. https://app.cochat.ai/papers/10.1145/779359.779361
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- Li, X. S., & Demmel, J. W. (2003). SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems. ACM Transactions on Mathematical Software. https://doi.org/10.1145/779359.779361
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