{"id":"https://openalex.org/W2027880019","doi":"https://doi.org/10.1145/277651.277658","title":"Elimination forest guided 2D sparse LU factorization","display_name":"Elimination forest guided 2D sparse LU factorization","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2027880019","doi":"https://doi.org/10.1145/277651.277658","mag":"2027880019"},"language":"en","primary_location":{"id":"doi:10.1145/277651.277658","is_oa":true,"landing_page_url":"https://doi.org/10.1145/277651.277658","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/277651.277658","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the tenth annual ACM symposium on Parallel algorithms and architectures - SPAA '98","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/277651.277658","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114858716","display_name":"Kai Shen","orcid":"https://orcid.org/0000-0002-3564-0281"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kai Shen","raw_affiliation_strings":["Dept. of Computer Science, University of California, Santa Barbara, CA","Dept. of Computer Science, Univ. of California, Santa Barbara, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of California, Santa Barbara, CA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Computer Science, Univ. of California, Santa Barbara, CA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033515755","display_name":"Xiangmin Jiao","orcid":"https://orcid.org/0000-0002-7111-9813"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiangmin Jiao","raw_affiliation_strings":["Dept. of Computer Science, University of Illinois, Urbana-Champaign, IL","Dept. of Comput. Sci., Univ. of Illinois, Urbana-Champaign, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Illinois, Urbana-Champaign, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of Illinois, Urbana-Champaign, IL","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060730782","display_name":"Tao Yang","orcid":"https://orcid.org/0000-0003-1902-3387"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Yang","raw_affiliation_strings":["Dept. of Computer Science, University of California, Santa Barbara, CA","Dept. of Computer Science, Univ. of California, Santa Barbara, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of California, Santa Barbara, CA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Computer Science, Univ. of California, Santa Barbara, CA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/citation","display_name":"Citation","score":0.6882984042167664},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.5910224318504333},{"id":"https://openalex.org/keywords/dept","display_name":"DEPT","score":0.5581134557723999},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5161846280097961},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5138271450996399},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18986043334007263},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.11871755123138428}],"concepts":[{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.6882984042167664},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.5910224318504333},{"id":"https://openalex.org/C2777819327","wikidata":"https://www.wikidata.org/wiki/Q5009918","display_name":"DEPT","level":2,"score":0.5581134557723999},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5161846280097961},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5138271450996399},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18986043334007263},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11871755123138428},{"id":"https://openalex.org/C71240020","wikidata":"https://www.wikidata.org/wiki/Q186011","display_name":"Stereochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/277651.277658","is_oa":true,"landing_page_url":"https://doi.org/10.1145/277651.277658","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/277651.277658","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the tenth annual ACM symposium on Parallel algorithms and architectures - SPAA '98","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.266","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.266","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucsb.edu/TRs/Docs/TRCS98-08.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.37.840","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucsb.edu/~kshen/papers/spaa98_tec.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.38.9545","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.9545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucsb.edu/~kshen/papers/spaa98.ps","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/277651.277658","is_oa":true,"landing_page_url":"https://doi.org/10.1145/277651.277658","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/277651.277658","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the tenth annual ACM symposium on Parallel algorithms and architectures - SPAA '98","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.6399999856948853,"display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G8977293589","display_name":"CISE Research Instrumentation:  A Next-Generation High      Performance Network of Commodity PCs","funder_award_id":"9529418","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2027880019.pdf","grobid_xml":"https://content.openalex.org/works/W2027880019.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W42081320","https://openalex.org/W1480058861","https://openalex.org/W1481131999","https://openalex.org/W1564227505","https://openalex.org/W1880110930","https://openalex.org/W1972859808","https://openalex.org/W1981233617","https://openalex.org/W2002646478","https://openalex.org/W2022842990","https://openalex.org/W2027880019","https://openalex.org/W2029702749","https://openalex.org/W2038205735","https://openalex.org/W2041720103","https://openalex.org/W2055094346","https://openalex.org/W2057711597","https://openalex.org/W2123291824","https://openalex.org/W2127144731","https://openalex.org/W2154381806","https://openalex.org/W2168393172","https://openalex.org/W2799160974","https://openalex.org/W4242614493","https://openalex.org/W4255982026","https://openalex.org/W4285719527","https://openalex.org/W6659761554"],"related_works":["https://openalex.org/W4231226515","https://openalex.org/W2322382814","https://openalex.org/W4232745934","https://openalex.org/W2126189245","https://openalex.org/W3198614086","https://openalex.org/W1989804605","https://openalex.org/W2031459605","https://openalex.org/W4255644959","https://openalex.org/W2172036482","https://openalex.org/W4235702278"],"abstract_inverted_index":{"Sparse":[0],"LU":[1],"factorization":[2],"with":[3,65,85],"partial":[4],"pivoting":[5],"is":[6,19,135],"important":[7],"for":[8,16],"many":[9,75],"scientific":[10],"applications":[11],"and":[12,41,52,59,81,107,122],"delivering":[13],"high":[14],"performance":[15,138],"this":[17,93],"problem":[18],"difficult":[20],"on":[21,128],"distributed":[22],"memory":[23],"machines.":[24],"Our":[25],"previous":[26,119],"work":[27],"has":[28],"developed":[29],"an":[30],"approach":[31],"called":[32,95],"S'":[33],"that":[34,115],"incorporates":[35],"static":[36],"symbolic":[37],"factorization,":[38],"supernode":[39,57],"partitioning":[40],"graph":[42],"scheduling.":[43,61],"This":[44],"paper":[45],"studies":[46],"the":[47,78,103,136,141],"properties":[48],"of":[49,92],"elimination":[50],"forests":[51],"uses":[53,97],"them":[54],"to":[55,126],"guide":[56],"partitioning/amalgamation":[58],"execution":[60],"The":[62,90,112],"new":[63],"design":[64],"2D":[66],"mapping":[67],"effectively":[68],"identifies":[69],"dense":[70],"structures":[71],"without":[72],"introducing":[73],"too":[74],"zeros":[76],"in":[77,140],"BLAS":[79],"computation":[80],"exploits":[82],"asynchronous":[83],"parallelism":[84],"low":[86],"buffer":[87],"space":[88],"cost.":[89],"implementation":[91],"code,":[94],"S+,":[96],"supernodal":[98],"matrix":[99],"multiplication":[100],"which":[101,134],"retains":[102],"BLAS-3":[104],"level":[105],"efficiency":[106],"avoids":[108],"unnecessary":[109],"arithmetic":[110],"operations.":[111],"experiments":[113],"show":[114],"S+":[116],"improves":[117],"our":[118],"code":[120],"substantially":[121],"can":[123],"achieve":[124],"up":[125],"11.04GFLOPS":[127],"128":[129],"Cray":[130],"T3E":[131],"450MHz":[132],"nodes,":[133],"highest":[137],"reported":[139],"literature.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}