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Multifrontal QR Factorization for Multicore Architectures over Runtime Systems

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Academic year: 2021

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Figure

Figure 1 shows an example of how a simple elimination tree (on the left) can be transformed into a DAG (on the right); further details on this transition can be found in the paper by Buttari [9] from which this example was taken.
Table 1. Matrices test set. The operation count is related to the matrix factorization with COLAMD column permutation.
Table 2 shows the factorization times (in seconds) for the matrices of the test set presented in Table 1 using qr starpu, qr mumps and spqr with different numbers of cores
Table 3. Memory peak for the factorization of the test matri-ces on 24 cores
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