{"id":"https://openalex.org/W1980416455","doi":"https://doi.org/10.1016/0167-8191(89)90016-1","title":"Independent set orderings for parallel matrix factorization by Gaussian elimination","display_name":"Independent set orderings for parallel matrix factorization by Gaussian elimination","publication_year":1989,"publication_date":"1989-04-01","ids":{"openalex":"https://openalex.org/W1980416455","doi":"https://doi.org/10.1016/0167-8191(89)90016-1","mag":"1980416455"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8191(89)90016-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8191(89)90016-1","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel 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/A5002795310","display_name":"Michael R. Leuze","orcid":null},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael R Leuze","raw_affiliation_strings":["Department of Computer Science, Vanderbilt University, Nashville, TN 37235, U.S.A","Department of Computer Science, Vanderbilt University, Nashville, TN 37235 U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Vanderbilt University, Nashville, TN 37235, U.S.A","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Department of Computer Science, Vanderbilt University, Nashville, TN 37235 U.S.A","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002795310"],"corresponding_institution_ids":["https://openalex.org/I200719446"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":0.9524,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.7265312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"2","first_page":"177","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9941999912261963,"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":0.9941999912261963,"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":0.9922000169754028,"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":0.9922000169754028,"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/gaussian-elimination","display_name":"Gaussian elimination","score":0.8615999817848206},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7409067153930664},{"id":"https://openalex.org/keywords/dixons-factorization-method","display_name":"Dixon's factorization method","score":0.6326211094856262},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.6120136976242065},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.578338623046875},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5590709447860718},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5555849671363831},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.528983473777771},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.5111377835273743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4755275547504425},{"id":"https://openalex.org/keywords/incomplete-lu-factorization","display_name":"Incomplete LU factorization","score":0.42786380648612976},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37958836555480957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3288503587245941},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.3119811415672302},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2954208552837372},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06959107518196106}],"concepts":[{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.8615999817848206},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7409067153930664},{"id":"https://openalex.org/C137559481","wikidata":"https://www.wikidata.org/wiki/Q1231787","display_name":"Dixon's factorization method","level":5,"score":0.6326211094856262},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.6120136976242065},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.578338623046875},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5590709447860718},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5555849671363831},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.528983473777771},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.5111377835273743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4755275547504425},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.42786380648612976},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37958836555480957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3288503587245941},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.3119811415672302},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2954208552837372},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06959107518196106},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8191(89)90016-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8191(89)90016-1","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W594514321","https://openalex.org/W1978723563","https://openalex.org/W1980946208","https://openalex.org/W1981885118","https://openalex.org/W1982983417","https://openalex.org/W1985788277","https://openalex.org/W1990764500","https://openalex.org/W1996954068","https://openalex.org/W2001777755","https://openalex.org/W2003249877","https://openalex.org/W2013076693","https://openalex.org/W2022142019","https://openalex.org/W2022272738","https://openalex.org/W2022396748","https://openalex.org/W2025896589","https://openalex.org/W2027566319","https://openalex.org/W2045325210","https://openalex.org/W2046140068","https://openalex.org/W2051170452","https://openalex.org/W2051249422","https://openalex.org/W2066356146","https://openalex.org/W2067936976","https://openalex.org/W2077340723","https://openalex.org/W2086694627","https://openalex.org/W2088501249","https://openalex.org/W2095420020","https://openalex.org/W2125720043","https://openalex.org/W2137541800","https://openalex.org/W2138521161","https://openalex.org/W2143767611","https://openalex.org/W2149342630","https://openalex.org/W2325556328","https://openalex.org/W2401610261","https://openalex.org/W4231650159","https://openalex.org/W4241066621","https://openalex.org/W4242054250","https://openalex.org/W6644040475","https://openalex.org/W6644831773","https://openalex.org/W6648089354","https://openalex.org/W6663167520","https://openalex.org/W6674015386","https://openalex.org/W6678762054","https://openalex.org/W6681400303"],"related_works":["https://openalex.org/W1987177655","https://openalex.org/W2375608986","https://openalex.org/W2063952346","https://openalex.org/W2055020807","https://openalex.org/W2025836747","https://openalex.org/W2151153900","https://openalex.org/W125384550","https://openalex.org/W2072574577","https://openalex.org/W1493023745","https://openalex.org/W2808680104"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}