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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
5/2014

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

Ronald Kriemann

Abstract

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.

Received:
Jan 16, 2014
Published:
Feb 24, 2014
MSC Codes:
65F05, 65Y05, 65Y20, 68W10, 68W40
Keywords:
hierarchical matrices, parallel algorithms, many-core processors

Related publications

inJournal
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