Formal Derivation of LU Factorization with Pivoting
Mathematical Software
2023-04-07 v1
Abstract
The FLAME methodology for deriving linear algebra algorithms from specification, first introduced around 2000, has been successfully applied to a broad cross section of operations. An open question has been whether it can yield algorithms for the best-known operation in linear algebra, LU factorization with partial pivoting (Gaussian elimination with row swapping). This paper shows that it can.
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Cite
@article{arxiv.2304.03068,
title = {Formal Derivation of LU Factorization with Pivoting},
author = {Robert van de Geijn and Maggie Myers},
journal= {arXiv preprint arXiv:2304.03068},
year = {2023}
}
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30 pages