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MiS Preprint

$\mathcal{H}$-LU Factorization on Many-Core Systems

Ronald Kriemann


A version of the $\mathcal{H}$-LU factorization is introduced, based on the individual computational tasks occurring during the block-wise $\mathcal{H}$-LU factorization. The dependencies between these tasks form a directed acylic graph, which is used for efficient scheduling on parallel systems. The algorithm is especially suited for many-core processors and shows a much improved parallel scaling behavior compared to previous $\mathcal{H}$-LU factorization algorithms.

MSC Codes:
65F05, 65Y05, 65Y20, 68W10, 68W40
hierarchical matrices, parallel algorithms, many-core processors

Related publications

2013 Repository Open Access
Ronald Kriemann

\( \mathscr{H} \)-LU factorization on many-core systems

In: Computing and visualization in science, 16 (2013) 3, pp. 105-117