A fan-in algorithm for distributed sparse numerical factorization
SIAM Journal on Scientific and Statistical Computing
Task scheduling for parallel sparse Cholesky factorization
International Journal of Parallel Programming
A mapping algorithm for parallel sparse Cholesky factorization
SIAM Journal on Scientific Computing
An efficient block-oriented approach to parallel sparse Cholesky factorization
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
An Approximate Minimum Degree Ordering Algorithm
SIAM Journal on Matrix Analysis and Applications
Improved load distribution in parallel sparse cholesky factorization
Proceedings of the 1994 ACM/IEEE conference on Supercomputing
Proceedings of the 11 IPPS/SPDP'99 Workshops Held in Conjunction with the 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing
A Mapping and Scheduling Algorithm for Parallel Sparse Fan-In Numerical Factorization
Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing
PASTIX: a high-performance parallel direct solver for sparse symmetric positive definite systems
Parallel Computing - Parallel matrix algorithms and applications
PARA '00 Proceedings of the 5th International Workshop on Applied Parallel Computing, New Paradigms for HPC in Industry and Academia
Improving performance by embedding HPC applications in lightweight Xen domains
Proceedings of the 2nd workshop on System-level virtualization for high performance computing
StarPU: A Unified Platform for Task Scheduling on Heterogeneous Multicore Architectures
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
Design of a Multicore Sparse Cholesky Factorization Using DAGs
SIAM Journal on Scientific Computing
PPAM'05 Proceedings of the 6th international conference on Parallel Processing and Applied Mathematics
Building portable thread schedulers for hierarchical multiprocessors: the bubblesched framework
Euro-Par'07 Proceedings of the 13th international Euro-Par conference on Parallel Processing
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We presen t and analyze a general algorithm which computes an efficient static scheduling of block computations for a parallel L:D:Lt factorization of sparse symmetric positive definite systems based on a combination of 1D and 2D block distributions. Our solver uses a supernodal fan-in approach and is fully driven by this scheduling. We give an overview of the algorithm and present performance results and comparisons with PSPASES on an IBM-SP2 with 120 MHz Pow er2SC nodes for a collection of irregular problems.