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Communication avoiding and overlapping for numerical linear algebra
dc.contributor.author | Georganas, Evangelos | |
dc.contributor.author | González-Domínguez, Jorge | |
dc.contributor.author | Solomonik, Edgar | |
dc.contributor.author | Zheng, Yili | |
dc.contributor.author | Touriño, Juan | |
dc.contributor.author | Yelick, Katherine | |
dc.date.accessioned | 2019-07-03T17:30:20Z | |
dc.date.available | 2019-07-03T17:30:20Z | |
dc.date.issued | 2013-02-25 | |
dc.identifier.citation | E. Georganas, J. Gonzalez-Dominguez, E. Solomonik, Y. Zheng, J. Tourino and K. Yelick, "Communication avoiding and overlapping for numerical linear algebra," SC '12: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, Salt Lake City, UT, 2012, pp. 1-11. | es_ES |
dc.identifier.other | INSPEC Accession Number: 13372346 | |
dc.identifier.uri | http://hdl.handle.net/2183/23395 | |
dc.description | This is a post-peer-review, pre-copyedit version. The final authenticated version is available online at: http://dx.doi.org/10.1109/SC.2012.32 | es_ES |
dc.description.abstract | [Abstract] To efficiently scale dense linear algebra problems to future exascale systems, communication cost must be avoided or overlapped. Communication-avoiding 2.5D algorithms improve scalability by reducing inter-processor data transfer volume at the cost of extra memory usage. Communication overlap attempts to hide messaging latency by pipelining messages and overlapping with computational work. We study the interaction and compatibility of these two techniques for two matrix multiplication algorithms (Cannon and SUMMA), triangular solve, and Cholesky factorization. For each algorithm, we construct a detailed performance model that considers both critical path dependencies and idle time. We give novel implementations of 2.5D algorithms with overlap for each of these problems. Our software employs UPC, a partitioned global address space (PGAS) language that provides fast one-sided communication. We show communication avoidance and overlap provide a cumulative benefit as core counts scale, including results using over 24K cores of a Cray XE6 system. | es_ES |
dc.description.sponsorship | Office of Science of the U.S. Department of Energy; DE-AC02-05CH11231 | es_ES |
dc.description.sponsorship | Office of Science of the U.S. Department of Energy; DARPA HR0011-10-9-0008 | es_ES |
dc.description.sponsorship | Ministerio de Ciencia e Innovación; TIN2010-16735 | es_ES |
dc.description.sponsorship | Ministerio de Educación; AP2008-01578 | es_ES |
dc.description.sponsorship | Krell Department of Energy Computational Science Graduate Fellowship; DE-FG02-7ER25308 | es_ES |
dc.description.sponsorship | Office of Science of the U.S. Department of Energy; DE-AC02-05CH11231. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | IEEE Computer Society | es_ES |
dc.relation.uri | http://dx.doi.org/10.1109/SC.2012.32 | es_ES |
dc.subject | Program processors | es_ES |
dc.subject | Bandwidth | es_ES |
dc.subject | Partitioning algorithms | es_ES |
dc.subject | Linear algebra | es_ES |
dc.subject | Message systems | es_ES |
dc.subject | Hardware | es_ES |
dc.subject | Layout | es_ES |
dc.title | Communication avoiding and overlapping for numerical linear algebra | es_ES |
dc.type | info:eu-repo/semantics/conferenceObject | es_ES |
dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
UDC.startPage | 1 | es_ES |
UDC.endPage | 11 | es_ES |
dc.identifier.doi | 10.1109/SC.2012.32 | |
UDC.conferenceTitle | SC '12: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis | es_ES |