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20082025
most citedEvaluating the Impact of SDC on the GMRES Iterative Solver

84 citations · 250 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.NA2013★ 22 cited

Exploiting Data Representation for Fault Tolerance

James Elliott, Mark Hoemmen, Frank Mueller

We explore the link between data representation and soft errors in dot products. We present an analytic model for the absolute error introduced should a soft error corrupt a bit in…

math.NA2012★ 47 cited

Fault-tolerant linear solvers via selective reliability

Patrick G. Bridges, Kurt B. Ferreira, Michael A. Heroux +1

Energy increasingly constrains modern computer hardware, yet protecting computations and data against errors costs energy. This holds at all scales, but especially for the largest…

math.NA2008★ 12 cited

Implementing Communication-Optimal Parallel and Sequential QR Factorizations

James Demmel, Laura Grigori, Mark Hoemmen +1

We present parallel and sequential dense QR factorization algorithms for tall and skinny matrices and general rectangular matrices that both minimize communication, and are as stab…

math.NA2008★ 34 cited

Communication-optimal parallel and sequential QR and LU factorizations

James Demmel, Laura Grigori, Mark Hoemmen +1

We present parallel and sequential dense QR factorization algorithms that are both optimal (up to polylogarithmic factors) in the amount of communication they perform, and just as…

math.NA2008★ 19 cited

Communication-optimal parallel and sequential QR and LU factorizations: theory and practice

James Demmel, Laura Grigori, Mark Hoemmen +1

We present parallel and sequential dense QR factorization algorithms that are both optimal (up to polylogarithmic factors) in the amount of communication they perform, and just as…