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dc.contributor.authorAgullo, Emmanuel
dc.contributor.authorCools, Siegfried
dc.contributor.authorYetkin, Emrullah Fatih
dc.contributor.authorGiraud, Luc
dc.contributor.authorSchenkels, Nick
dc.contributor.authorVanroose, Wim
dc.date.accessioned2021-07-22T14:35:54Z
dc.date.available2021-07-22T14:35:54Z
dc.date.issued2020
dc.identifier.issn1064-8275
dc.identifier.urihttps://hdl.handle.net/20.500.12469/4084
dc.description.abstractThe conjugate gradient (CG) method is the most widely used iterative scheme for the solution of large sparse systems of linear equations when the matrix is symmetric positive definite. Although more than 60 years old, it is still a serious candidate for extreme-scale computations on large computing platforms. On the technological side, the continuous shrinking of transistor geometry and the increasing complexity of these devices affect dramatically their sensitivity to natural radiation and thus diminish their reliability. One of the most common effects produced by natural radiation is the single event upset which consists in a bit-flip in a memory cell producing unexpected results at the application level. Consequently, future extreme-scale computing facilities will be more prone to errors of any kind, including bit-flips, during their calculations. These numerical and technological observations are the main motivations for this work, where we first investigate through extensive numerical experiments the sensitivity of CG to bit-flips in its main computationally intensive kernels, namely the matrix-vector product and the preconditioner application. We further propose numerical criteria to detect the occurrence of such soft errors and assess their robustness through extensive numerical experiments.en_US
dc.language.isoEnglishen_US
dc.publisherSIAM PUBLICATIONSen_US
dc.subjectconjugateen_US
dc.subjectgradienten_US
dc.subjectsoft errorsen_US
dc.subjectbit-flipen_US
dc.subjectnumerical detectionen_US
dc.titleON SOFT ERRORS IN THE CONJUGATE GRADIENT METHOD: SENSITIVITY AND ROBUST NUMERICAL DETECTIONen_US
dc.typeArticleen_US
dc.identifier.startpageC335en_US
dc.identifier.endpageC358en_US
dc.relation.journalSIAM JOURNAL ON SCIENTIFIC COMPUTINGen_US
dc.identifier.issue6en_US
dc.identifier.volume42en_US
dc.identifier.wos000600650400001en_US
dc.identifier.doi10.1137/18M122858Xen_US
dc.contributor.khasauthorYetkin, Emrullah Fatihen_US


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