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arXiv · 2607.02324

Elasticity in Parallel Sparse Triangular Solve

Raphael S. Steiner·Christos K. Matzoros·Pál András Papp·Toni Böhnlein·A. N. Yzelman
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Abstract

We introduce stale synchronous parallel as a mode of execution in parallel sparse triangular linear system solve and present a general directed-acyclic-graph scheduler capable of producing such schedules. Stale-synchronous-parallel schedules allow the overlap of synchronisation and compute which results in a geometric-mean speed-up of $7$-$30\%$ of our scheduler, ElasticDivide, over state-of-the-art synchronous scheduler GrowLocal on an ARM machine using 48 cores. On an x86 machine using 48 cores, we report geometric-mean speed-ups of $19$-$60\%$ over SpMP.

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Raphael S. Steiner, Christos K. Matzoros, Pál András Papp, Toni Böhnlein, A. N. Yzelman. 2026-07-02. Elasticity in Parallel Sparse Triangular Solve. https://arxiv.org/abs/2607.02324

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