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arXiv · 2305.10125

Concurrent Gaussian elimination

Ulrich Berger·Monika Seisenberger·Dieter Spreen·Hideki Tsuiki
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Abstract

Working in a semi-constructive logical system that supports the extraction of concurrent programs, we extract a program inverting non-singular real valued matrices from a constructive proof based on Gaussian elimination. Concurrency is used for efficient pivoting, that is, for finding an entry that is apart from zero in a non-null vector of real numbers.

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Ulrich Berger, Monika Seisenberger, Dieter Spreen, Hideki Tsuiki. 2023-05-17. Concurrent Gaussian elimination. https://doi.org/10.1142/9789811245220_0009

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