Solving large systems of linear equations on GPUs

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dc.contributor.authorLlano-Ríos T.F.
dc.contributor.authorOcampo-García J.D.
dc.contributor.authorYepes-Ríos J.S.
dc.contributor.authorCorrea-Zabala F.J.
dc.contributor.authorTrefftz C.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorLlano-Ríos T.F.
dc.creatorOcampo-García J.D.
dc.creatorYepes-Ríos J.S.
dc.creatorCorrea-Zabala F.J.
dc.creatorTrefftz C.
dc.date.accessioned2021-03-26T21:35:22Z
dc.date.available2021-03-26T21:35:22Z
dc.date.issued2018-01-01
dc.description.abstractGraphical Processing Units (GPUs) have become more accessible peripheral devices with great computing capacity. Moreover, GPUs can be used not only to accelerate the graphics produced by a computer but also for general purpose computing. Many researchers use this technique on their personal workstations to accelerate the execution of their programs and have often encountered that the amount of memory available on GPU cards is typically smaller than the amount of memory available on the host computer. We are interested in exploring approaches to solve problems with this restriction. Our main contribution is to devise ways in which portions of the problem can be moved to the memory of the GPU to be solved using its multiprocessing capabilities. We implemented on a GPU the Jacobi iterative method to solve systems of linear equations and report the details from the results obtained, analyzing its performance and accuracy. Our code solves a system of linear equations large enough to exceed the card’s memory, but not the host memory. Significant speedups were observed, as the execution time taken to solve each system is faster than those obtained with Intel® MKL and Eigen, libraries designed to work on CPUs. © Springer Nature Switzerland AG 2018.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=8288
dc.identifier.doi10.1007/978-3-319-98998-3_4
dc.identifier.issn18650929
dc.identifier.issn18650937
dc.identifier.otherSCOPUS;2-s2.0-85054400270
dc.identifier.urihttp://hdl.handle.net/10784/27434
dc.language.isoengeng
dc.publisherSpringer Verlag
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85054400270&doi=10.1007%2f978-3-319-98998-3_4&partnerID=40&md5=3efdd2efbea6ec9f8efb6152b61fef66
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/1865-0929
dc.sourceCommunications in Computer and Information Science
dc.subject.keywordComputer graphics equipmenteng
dc.subject.keywordComputer workstationseng
dc.subject.keywordIterative methodseng
dc.subject.keywordLinear equationseng
dc.subject.keywordProgram processorseng
dc.subject.keywordComputing capacityeng
dc.subject.keywordGeneral-purpose computingeng
dc.subject.keywordGraphical processing unit (GPUs)eng
dc.subject.keywordJacobieng
dc.subject.keywordJacobi iterative methodseng
dc.subject.keywordPeripheral deviceseng
dc.subject.keywordSystem of linear equationseng
dc.subject.keywordSystems of linear equationseng
dc.subject.keywordGraphics processing uniteng
dc.titleSolving large systems of linear equations on GPUseng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

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