{"id":"https://openalex.org/W2094542090","doi":"https://doi.org/10.1137/0914048","title":"A Supernodal Cholesky Factorization Algorithm for Shared-Memory Multiprocessors","display_name":"A Supernodal Cholesky Factorization Algorithm for Shared-Memory Multiprocessors","publication_year":1993,"publication_date":"1993-07-01","ids":{"openalex":"https://openalex.org/W2094542090","doi":"https://doi.org/10.1137/0914048","mag":"2094542090"},"language":"en","primary_location":{"id":"doi:10.1137/0914048","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914048","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-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/A5056131016","display_name":"Esmond Ng","orcid":"https://orcid.org/0000-0002-4535-6348"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Esmond Ng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5050129306","display_name":"Barry W. Peyton","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Barry W. Peyton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8021,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.94930085,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"761","last_page":"769"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9987000226974487,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9965999722480774,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9746185541152954},{"id":"https://openalex.org/keywords/mimd","display_name":"MIMD","score":0.8377678394317627},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.8008592128753662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7751851081848145},{"id":"https://openalex.org/keywords/minimum-degree-algorithm","display_name":"Minimum degree algorithm","score":0.7510912418365479},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.6705138683319092},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.6074655652046204},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.5336803793907166},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.492397665977478},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.47727102041244507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4753827154636383},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.47482213377952576},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.43839937448501587},{"id":"https://openalex.org/keywords/incomplete-lu-factorization","display_name":"Incomplete LU factorization","score":0.41418665647506714},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.3324752748012543}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9746185541152954},{"id":"https://openalex.org/C21032095","wikidata":"https://www.wikidata.org/wiki/Q1149237","display_name":"MIMD","level":2,"score":0.8377678394317627},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.8008592128753662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7751851081848145},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.7510912418365479},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.6705138683319092},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.6074655652046204},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.5336803793907166},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.492397665977478},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.47727102041244507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4753827154636383},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.47482213377952576},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.43839937448501587},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.41418665647506714},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.3324752748012543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/0914048","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0914048","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.127.6070","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.6070","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ornl.gov/info/reports/1991/3445603350193.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1531652487","https://openalex.org/W1964477602","https://openalex.org/W1980946208","https://openalex.org/W1981885118","https://openalex.org/W1998276913","https://openalex.org/W2002257715","https://openalex.org/W2022241871","https://openalex.org/W2022842990","https://openalex.org/W2036509408","https://openalex.org/W2046020107","https://openalex.org/W2063675347","https://openalex.org/W2065600791","https://openalex.org/W2077309453","https://openalex.org/W2080975681","https://openalex.org/W2086648616","https://openalex.org/W2088501249","https://openalex.org/W2089898547","https://openalex.org/W2101501830","https://openalex.org/W2107240508","https://openalex.org/W2137541800","https://openalex.org/W2147542748","https://openalex.org/W2150603771","https://openalex.org/W2152617854"],"related_works":["https://openalex.org/W2381435995","https://openalex.org/W2078637543","https://openalex.org/W1987177655","https://openalex.org/W3022256543","https://openalex.org/W898189783","https://openalex.org/W1977632218","https://openalex.org/W2584547575","https://openalex.org/W2397810771","https://openalex.org/W1509943448","https://openalex.org/W2019527453"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,34,62,76],"parallel":[4],"sparse":[5,41,97],"Cholesky":[6,42],"factorization":[7,43,84],"algorithm":[8,14,32],"for":[9,19,90],"shared-memory":[10],"MIMD":[11],"multiprocessors.":[12],"The":[13,30],"is":[15,33],"particularly":[16],"well":[17],"suited":[18],"vector":[20],"supercomputers":[21],"with":[22],"multiple":[23],"processors,":[24],"such":[25],"as":[26],"the":[27,38,66,69,79,83,95],"Cray":[28,63,77],"Y-MP.":[29],"new":[31,70,80],"straightforward":[35],"parallelization":[36],"of":[37,68,75],"left-looking":[39],"supernodal":[40],"algorithm.":[44,71],"Like":[45],"its":[46],"sequential":[47],"predecessor,":[48],"it":[49],"improves":[50],"performance":[51],"by":[52],"reducing":[53],"indirect":[54],"addressing":[55],"and":[56],"memory":[57],"traffic.":[58],"Experimental":[59],"results":[60],"on":[61],"Y-MP":[64],"demonstrate":[65],"effectiveness":[67],"On":[72],"eight":[73],"processors":[74],"Y-MP,":[78],"routine":[81],"performs":[82],"at":[85],"rates":[86],"exceeding":[87],"one":[88],"Gflop":[89],"several":[91],"test":[92],"problems":[93],"from":[94],"Harwell\u2013Boeing":[96],"matrix":[98],"collection.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}