State-of-The-Art Sparse Direct Solvers

Matthias Bollhöfer; Olaf Schenk; Radim Janalík; Steve Hamm; Kiran Gullapalli

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arXiv · 1907.05309

State-of-The-Art Sparse Direct Solvers

Matthias Bollhöfer·Olaf Schenk·Radim Janalík·Steve Hamm·Kiran Gullapalli

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Abstract

In this chapter we will give an insight into modern sparse elimination methods. These are driven by a preprocessing phase based on combinatorial algorithms which improve diagonal dominance, reduce fill-in, and improve concurrency to allow for parallel treatment. Moreover, these methods detect dense submatrices which can be handled by dense matrix kernels based on multithreaded level-3 BLAS. We will demonstrate for problems arising from circuit simulation, how the improvements in recent years have advanced direct solution methods significantly.

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Matthias Bollhöfer, Olaf Schenk, Radim Janalík, Steve Hamm, Kiran Gullapalli. 2019-07-11. State-of-The-Art Sparse Direct Solvers. https://arxiv.org/abs/1907.05309

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