SC23 Proceedings

The International Conference for High Performance Computing, Networking, Storage, and Analysis

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Parallel Symbolic Cholesky Factorization


Workshop: 14th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Heterogeneous Systems (ScalAH'23)

Authors: Tobias Ribizel (Karlsruhe Institute of Technology) and Hartwig Anzt (University of Tennessee, Innovative Computing Laboratory (ICL); Karlsruhe Institute of Technology (KIT))


Abstract: We present a hybrid sequential/parallel symbolic Cholesky factorization algorithm that computes the sparsity pattern of the symbolic factors in parallel. We evaluate the performance on a large subset of the SuiteSparse matrix collection and multicore CPUs as well as flagship GPUs by AMD and NVIDIA, achieving speedups of an order of magnitude compared to a state-of-the-art sequential symbolic Cholesky factorization.





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