{"id":"https://openalex.org/W4406526486","doi":"https://doi.org/10.3390/math13020298","title":"Coarse-Grained Column Agglomeration Parallel Algorithm for LU Factorization Using Multi-Threaded MATLAB","display_name":"Coarse-Grained Column Agglomeration Parallel Algorithm for LU Factorization Using Multi-Threaded MATLAB","publication_year":2025,"publication_date":"2025-01-17","ids":{"openalex":"https://openalex.org/W4406526486","doi":"https://doi.org/10.3390/math13020298"},"language":"en","primary_location":{"id":"doi:10.3390/math13020298","doi":"https://doi.org/10.3390/math13020298","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math13020298","pdf_url":"https://www.mdpi.com/2227-7390/13/2/298/pdf?version=1737126251","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2227-7390/13/2/298/pdf?version=1737126251","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052780971","display_name":"Osama Sabir","orcid":"https://orcid.org/0000-0001-5432-8501","observed_orcids":["https://orcid.org/0000-0001-5432-8501"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Osama Sabir","raw_affiliation_strings":["Head of R&D, Euler X Coding, Istanbul, T\u00fcrkiye"],"raw_orcid":"https://orcid.org/0000-0001-5432-8501","affiliations":[{"raw_affiliation_string":"Head of R&D, Euler X Coding, Istanbul, T\u00fcrkiye","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026682687","display_name":"Reza Alebrahim","orcid":"https://orcid.org/0000-0002-2036-9775","observed_orcids":["https://orcid.org/0000-0002-2036-9775"]},"institutions":[{"id":"https://openalex.org/I4210124295","display_name":"University Niccol\u00f2 Cusano","ror":"https://ror.org/032c3ae16","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210124295"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Reza Alebrahim","raw_affiliation_strings":["Engineering Faculty, Universit\u00e0 degli Studi Niccol\u00f2 Cusano, 00166 Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering Faculty, Universit\u00e0 degli Studi Niccol\u00f2 Cusano, 00166 Rome, Italy","institution_ids":["https://openalex.org/I4210124295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026682687"],"corresponding_institution_ids":["https://openalex.org/I4210124295"],"apc_list":{"value":2600,"currency":"CHF","value_usd":3137},"apc_paid":{"value":2600,"currency":"CHF","value_usd":3137},"fwci":0.5779,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54511634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"2","first_page":"298","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9258000254631042,"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":0.9258000254631042,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.0731000006198883,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.00019999999494757503,"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/lu-decomposition","display_name":"LU decomposition","score":0.9409999847412109},{"id":"https://openalex.org/keywords/parallel-algorithms","display_name":"parallel algorithms","score":0.7649999856948853},{"id":"https://openalex.org/keywords/cpu-parallelization","display_name":"CPU parallelization","score":0.8769999742507935},{"id":"https://openalex.org/keywords/matrix-factorization","display_name":"matrix factorization","score":0.5569999814033508}],"concepts":[{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.7585591673851013},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6664144992828369},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.641666054725647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6167169809341431},{"id":"https://openalex.org/C131850264","wikidata":"https://www.wikidata.org/wiki/Q383056","display_name":"Economies of agglomeration","level":2,"score":0.5773687362670898},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5050674080848694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4653400182723999},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.39322254061698914},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.11408928036689758},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08445775508880615},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.06819778680801392},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/math13020298","doi":"https://doi.org/10.3390/math13020298","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math13020298","pdf_url":"https://www.mdpi.com/2227-7390/13/2/298/pdf?version=1737126251","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:13:y:2025:i:2:p:298-:d:1569753","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/13/2/298/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:216816f607c84b9e8d5cb5ee4c7e1983","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/216816f607c84b9e8d5cb5ee4c7e1983","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics, Vol 13, Iss 2, p 298 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math13020298","doi":"https://doi.org/10.3390/math13020298","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math13020298","pdf_url":"https://www.mdpi.com/2227-7390/13/2/298/pdf?version=1737126251","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406526486.pdf","grobid_xml":"https://content.openalex.org/works/W4406526486.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1274374232","https://openalex.org/W1508359892","https://openalex.org/W1978609837","https://openalex.org/W1998894100","https://openalex.org/W1998968952","https://openalex.org/W2000250112","https://openalex.org/W2028244810","https://openalex.org/W2053040989","https://openalex.org/W2080038255","https://openalex.org/W2089038788","https://openalex.org/W2095457835","https://openalex.org/W2099083833","https://openalex.org/W2104760562","https://openalex.org/W2132450860","https://openalex.org/W2887698420","https://openalex.org/W3013477781","https://openalex.org/W3043589213","https://openalex.org/W4205803886","https://openalex.org/W4308599712","https://openalex.org/W4379116817","https://openalex.org/W4381327231","https://openalex.org/W4388665985","https://openalex.org/W4391183661","https://openalex.org/W4402936386","https://openalex.org/W4403839977"],"related_works":["https://openalex.org/W1601748122","https://openalex.org/W2912213558","https://openalex.org/W107710544","https://openalex.org/W7098233406","https://openalex.org/W2561626198","https://openalex.org/W1512386721","https://openalex.org/W1565834174","https://openalex.org/W144270911","https://openalex.org/W2159998508","https://openalex.org/W1981960254"],"abstract_inverted_index":{"MATLAB":[0,42,71],"programing":[1],"language":[2],"is":[3,20],"one":[4],"of":[5,28,82,86,98,107],"the":[6,25,45,50,61,80,87,94],"most":[7],"popular":[8],"scientific":[9],"computing":[10],"tools,":[11],"especially":[12],"for":[13,24],"solving":[14],"linear":[15,29],"algebra":[16],"problems.":[17],"LU":[18,62],"factorization":[19],"an":[21],"essential":[22],"component":[23],"direct":[26],"solution":[27],"equations":[30],"systems.":[31],"This":[32],"paper":[33],"studied":[34],"a":[35,114],"coarse-grained":[36,100],"column":[37,101],"agglomeration":[38,102],"parallel":[39],"algorithm":[40,66],"in":[41,113],"to":[43,78],"analyze":[44],"implementation":[46],"performance":[47],"among":[48],"all":[49],"available":[51],"computation":[52],"resources.":[53],"In":[54],"this":[55],"paper,":[56],"we":[57],"focus":[58],"on":[59],"parallelizing":[60],"decomposition":[63],"without":[64],"pivoting":[65],"using":[67,104],"Gaussian":[68],"elimination":[69],"under":[70],"R2020b":[72],"platform.":[73],"Numerical":[74],"experiments":[75],"were":[76,90,111],"provided":[77],"demonstrate":[79],"efficiency":[81],"CPU":[83,122],"parallelization.":[84],"Performances":[85],"present":[88],"methods":[89],"assessed":[91],"by":[92],"comparing":[93],"speed":[95],"and":[96],"accuracy":[97],"different":[99,105],"algorithms":[103,110],"sizes":[106],"matrices.":[108],"Different":[109],"implemented":[112],"four-core":[115],"Xeon":[116],"E3-1220":[117],"v3":[118],"@":[119],"3.10":[120],"GHz":[121],"with":[123],"16":[124],"GB":[125],"RAM":[126],"memory.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-01-18T00:00:00"}