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arXiv · 2006.01623

Good pivots for small sparse matrices

Manuel Kauers·Jakob Moosbauer
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Abstract

For sparse matrices up to size $8 \times 8$, we determine optimal choices for pivot selection in Gaussian elimination. It turns out that they are slightly better than the pivots chosen by a popular pivot selection strategy, so there is some room for improvement. We then create a pivot selection strategy using machine learning and find that it indeed leads to a small improvement compared to the classical strategy.

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Manuel Kauers, Jakob Moosbauer. 2020-06-02. Good pivots for small sparse matrices. https://doi.org/10.1007/978-3-030-60026-6_20

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