{"id":"https://openalex.org/W4210861204","doi":"https://doi.org/10.1109/sc.2008.5214287","title":"Communication Avoiding Gaussian elimination","display_name":"Communication Avoiding Gaussian elimination","publication_year":2008,"publication_date":"2008-11-01","ids":{"openalex":"https://openalex.org/W4210861204","doi":"https://doi.org/10.1109/sc.2008.5214287"},"language":"en","primary_location":{"id":"doi:10.1109/sc.2008.5214287","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sc.2008.5214287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 SC - International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040521001","display_name":"Laura Grigori","orcid":"https://orcid.org/0000-0002-5880-1076"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laura Grigori","raw_affiliation_strings":["INRIA Saclay-Ile-de-France, Orsay, France"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay-Ile-de-France, Orsay, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076825233","display_name":"James Demmel","orcid":"https://orcid.org/0000-0003-1145-3745"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James W. Demmel","raw_affiliation_strings":["Mathematics Department, Computer Science Division, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Computer Science Division, Berkeley, CA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043042295","display_name":"Hua Xiang","orcid":"https://orcid.org/0000-0002-5094-2376"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hua Xiang","raw_affiliation_strings":["INRIA Saclay-Ile-de-France, Orsay, France"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay-Ile-de-France, Orsay, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040521001"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"],"apc_list":null,"apc_paid":null,"fwci":2.4032,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89645136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.8106253743171692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7487845420837402},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.7406330108642578},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6463097929954529},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6412229537963867},{"id":"https://openalex.org/keywords/ibm","display_name":"IBM","score":0.5967076420783997},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.5439231395721436},{"id":"https://openalex.org/keywords/gaussian-elimination","display_name":"Gaussian elimination","score":0.527916669845581},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48542460799217224},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4454706311225891},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.4196649193763733},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.41892626881599426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16528275609016418},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.14901301264762878},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08864352107048035},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07992348074913025},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07895699143409729}],"concepts":[{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.8106253743171692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7487845420837402},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.7406330108642578},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6463097929954529},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6412229537963867},{"id":"https://openalex.org/C70388272","wikidata":"https://www.wikidata.org/wiki/Q5968558","display_name":"IBM","level":2,"score":0.5967076420783997},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.5439231395721436},{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.527916669845581},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48542460799217224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4454706311225891},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.4196649193763733},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.41892626881599426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16528275609016418},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.14901301264762878},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08864352107048035},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07992348074913025},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07895699143409729},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/sc.2008.5214287","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sc.2008.5214287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 SC - International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2007768252","https://openalex.org/W2026237859","https://openalex.org/W2030167104","https://openalex.org/W2098805793","https://openalex.org/W2115780241","https://openalex.org/W2169631286","https://openalex.org/W3141650078"],"related_works":["https://openalex.org/W2391861012","https://openalex.org/W2080384954","https://openalex.org/W2375766869","https://openalex.org/W4285469493","https://openalex.org/W4382519933","https://openalex.org/W3151465598","https://openalex.org/W2271643833","https://openalex.org/W2766762530","https://openalex.org/W1964714122","https://openalex.org/W2300079919"],"abstract_inverted_index":{"We":[0],"present":[1],"CALU,":[2,85],"a":[3,16,25,57,80,82,95,108,113,136,146],"Communication":[4],"Avoiding":[5],"algorithm":[6,21,36],"for":[7],"the":[8,44,60,66,74,87,129],"LU":[9],"factorization":[10,78],"of":[11,46,73,79,84,97,110,120,138,148],"dense":[12],"matrices":[13,119],"distributed":[14],"in":[15,32,43,59,63],"two-dimensional":[17],"cyclic":[18],"layout.":[19],"The":[20,34,77],"is":[22,30,37,69],"based":[23],"on":[24,99,112,140,150],"new":[26,35],"pivoting":[27],"strategy,":[28],"which":[29],"stable":[31],"practice.":[33],"optimal":[38],"(up":[39],"to":[40,56,94,107],"polylogarithmic":[41],"factors)":[42],"amount":[45],"communication":[47],"it":[48],"performs.":[49],"Our":[50],"experiments":[51],"show":[52],"that":[53],"CALU":[54,127],"leads":[55],"reduction":[58],"parallel":[61],"time,":[62],"particular":[64],"when":[65],"latency":[67],"time":[68],"an":[70,100],"important":[71],"factor":[72,96,109,137,147],"overall":[75],"time.":[76],"block-column,":[81],"subroutine":[83],"outperforms":[86,128],"corresponding":[88,130],"routine":[89,131],"PDGETF2":[90],"from":[91,133],"ScaLAPACK":[92,134],"up":[93,106],"4.37":[98],"IBM":[101,141],"POWER":[102,142],"5":[103,143],"system":[104],"and":[105,144],"5.58":[111],"Cray":[114,151],"XT4":[115],"system.":[116],"On":[117],"square":[118],"order":[121],"10":[122],"<sup":[123],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[125],",":[126],"PDGETRF":[132],"by":[135,145],"1.24":[139],"1.31":[149],"XT4.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
