{"id":"https://openalex.org/W2161588460","doi":"https://doi.org/10.1002/cpe.4330020102","title":"Experiments with multicomputer LU\u2010decomposition","display_name":"Experiments with multicomputer LU\u2010decomposition","publication_year":1990,"publication_date":"1990-03-01","ids":{"openalex":"https://openalex.org/W2161588460","doi":"https://doi.org/10.1002/cpe.4330020102","mag":"2161588460"},"language":"en","primary_location":{"id":"doi:10.1002/cpe.4330020102","is_oa":false,"landing_page_url":"https://doi.org/10.1002/cpe.4330020102","pdf_url":null,"source":{"id":"https://openalex.org/S4210209928","display_name":"Concurrency Practice and Experience","issn_l":"1040-3108","issn":["1040-3108","1096-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency: Practice and Experience","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/A5020090916","display_name":"Eric F. Van de Velde","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eric F. van de Velde","raw_affiliation_strings":["Applied Mathematics 217-50 Caltech Pasadena, CA 91125, USA"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics 217-50 Caltech Pasadena, CA 91125, USA","institution_ids":["https://openalex.org/I122411786","https://openalex.org/I4210131439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020090916"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I4210131439"],"apc_list":null,"apc_paid":null,"fwci":1.2671,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.83320064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2","issue":"1","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9829000234603882,"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/lu-decomposition","display_name":"LU decomposition","score":0.7453529238700867},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7319022417068481},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.6404937505722046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6261782050132751},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5590610504150391},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.5390230417251587},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5110141038894653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5091122984886169},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.49046894907951355},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4787030518054962},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4226281940937042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27969858050346375},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15134963393211365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08443155884742737},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08168649673461914}],"concepts":[{"id":"https://openalex.org/C123213974","wikidata":"https://www.wikidata.org/wiki/Q833089","display_name":"LU decomposition","level":4,"score":0.7453529238700867},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7319022417068481},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.6404937505722046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6261782050132751},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5590610504150391},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.5390230417251587},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5110141038894653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5091122984886169},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.49046894907951355},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4787030518054962},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4226281940937042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27969858050346375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15134963393211365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08443155884742737},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08168649673461914},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/cpe.4330020102","is_oa":false,"landing_page_url":"https://doi.org/10.1002/cpe.4330020102","pdf_url":null,"source":{"id":"https://openalex.org/S4210209928","display_name":"Concurrency Practice and Experience","issn_l":"1040-3108","issn":["1040-3108","1096-9128"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Concurrency: Practice and Experience","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:85490","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/85490/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1358449","https://openalex.org/W326353637","https://openalex.org/W1497802586","https://openalex.org/W1559533846","https://openalex.org/W1857327297","https://openalex.org/W2007110403","https://openalex.org/W2051170452","https://openalex.org/W2086507055","https://openalex.org/W2086694627","https://openalex.org/W2093012666"],"related_works":["https://openalex.org/W2313440505","https://openalex.org/W3123744736","https://openalex.org/W1505848319","https://openalex.org/W2137691148","https://openalex.org/W4281399881","https://openalex.org/W2905020035","https://openalex.org/W3166006430","https://openalex.org/W4281971614","https://openalex.org/W2049180840","https://openalex.org/W3121299875"],"abstract_inverted_index":{"Abstract":[0],"We":[1,59,91],"present":[2],"a":[3,21,36,83],"new":[4],"concurrent":[5,33,80],"LU\u2010decomposition":[6,81,94,107],"algorithm":[7,18],"based":[8],"on":[9,112],"implicit":[10],"pivoting":[11,54,66,89,97,124],"of":[12,25,28,79,85],"both":[13,100],"rows":[14],"and":[15,69,88,102,116],"columns.":[16],"This":[17],"is,":[19],"to":[20,127],"large":[22],"extent,":[23],"independent":[24],"the":[26,29,32,77,113,117,129],"distribution":[27,87],"matrix":[30],"over":[31],"processes.":[34],"As":[35],"result,":[37],"it":[38],"can":[39],"be":[40],"used":[41],"in":[42],"programs":[43],"with":[44,95],"dynamically":[45],"varying":[46],"data":[47,86,130],"distributions.":[48],"Another":[49],"advantage":[50],"is":[51,99,125],"that":[52,93],"most":[53],"strategies":[55,98],"are":[56],"easily":[57],"incorporated.":[58],"also":[60],"introduce":[61],"two":[62],"new,":[63],"intrinsically":[64],"concurrent,":[65],"strategies:":[67],"multirow":[68],"multicolumn":[70],"pivoting.":[71,109],"With":[72],"this":[73],"program,":[74],"we":[75],"study":[76],"performance":[78,122],"as":[82],"function":[84],"strategy.":[90],"show":[92],"some":[96],"faster":[101],"numerically":[103],"more":[104],"stable":[105],"than":[106],"without":[108],"Experimental":[110],"evidence":[111],"Symult":[114],"2010":[115],"iPSC/2":[118],"shows":[119],"that,":[120],"for":[121],"considerations,":[123],"equivalent":[126],"randomizing":[128],"distribution.":[131]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}