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The Cartographer
Efficiently Correcting Matrix Products
February 01, 2016 Β· Declared Dead Β· π Algorithmica
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Authors
Leszek Gasieniec, Christos Levcopoulos, Andrzej Lingas, Rasmus Pagh, Takeshi Tokuyama
arXiv ID
1602.00435
Category
cs.DS: Data Structures & Algorithms
Citations
13
Venue
Algorithmica
Last Checked
3 months ago
Abstract
We study the problem of efficiently correcting an erroneous product of two $n\times n$ matrices over a ring. Among other things, we provide a randomized algorithm for correcting a matrix product with at most $k$ erroneous entries running in $\tilde{O}(n^2+kn)$ time and a deterministic $\tilde{O}(kn^2)$-time algorithm for this problem (where the notation $\tilde{O}$ suppresses polylogarithmic terms in $n$ and $k$).
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