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LU Factorization with Errors

Published • Jul 8, 2019
Authors:
Jean‐Guillaume Dumas
,
Joris van der Hoeven
,
Clément Pernet

Abstract

We present new algorithms to detect and correct errors in the lower-upper factorization of a matrix, or the triangular linear system solution, over an arbitrary field. Our main algorithms do not require any additional information or encoding other than the original inputs and the erroneous output. T...

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