{"id":"https://openalex.org/W4389164445","doi":"https://doi.org/10.1109/access.2023.3338544","title":"A Parallel Computing Method for the Computation of the Moore\u2013Penrose Generalized Inverse for Shared-Memory Architectures","display_name":"A Parallel Computing Method for the Computation of the Moore\u2013Penrose Generalized Inverse for Shared-Memory Architectures","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4389164445","doi":"https://doi.org/10.1109/access.2023.3338544"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3338544","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3338544","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10336814.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10336814.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027841731","display_name":"E Gelvez-Almeida","orcid":"https://orcid.org/0000-0001-5157-3341"},"institutions":[{"id":"https://openalex.org/I2799535320","display_name":"Catholic University of the Maule","ror":"https://ror.org/04vdpck27","country_code":"CL","type":"education","lineage":["https://openalex.org/I2799535320"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Elkin Gelvez-Almeida","raw_affiliation_strings":["Doctorado en Modelamiento Matem&#x00E1;tico Aplicado, Universidad Cat&#x00F3;lica del Maule, Talca, Chile"],"affiliations":[{"raw_affiliation_string":"Doctorado en Modelamiento Matem&#x00E1;tico Aplicado, Universidad Cat&#x00F3;lica del Maule, Talca, Chile","institution_ids":["https://openalex.org/I2799535320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066947919","display_name":"Ricardo J. Barrientos","orcid":"https://orcid.org/0000-0001-5345-7061"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ricardo J. Barrientos","raw_affiliation_strings":["Laboratory of Technological Research in Pattern Recognition (LITRP), Facultad de Ciencias de la Ingenier&#x00ED;a, Universidad Cat&#x00F3;lica del Maule, Talca, Chile"],"affiliations":[{"raw_affiliation_string":"Laboratory of Technological Research in Pattern Recognition (LITRP), Facultad de Ciencias de la Ingenier&#x00ED;a, Universidad Cat&#x00F3;lica del Maule, Talca, Chile","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051779245","display_name":"Karina Vilches-Ponce","orcid":"https://orcid.org/0000-0001-7689-1696"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karina Vilches-Ponce","raw_affiliation_strings":["Laboratory of Technological Research in Pattern Recognition (LITRP), Facultad de Ciencias de la Ingenier&#x00ED;a, Universidad Cat&#x00F3;lica del Maule, Talca, Chile"],"affiliations":[{"raw_affiliation_string":"Laboratory of Technological Research in Pattern Recognition (LITRP), Facultad de Ciencias de la Ingenier&#x00ED;a, Universidad Cat&#x00F3;lica del Maule, Talca, Chile","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062097752","display_name":"Marco Mora","orcid":"https://orcid.org/0000-0003-3619-2561"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marco Mora","raw_affiliation_strings":["Laboratory of Technological Research in Pattern Recognition (LITRP), Facultad de Ciencias de la Ingenier&#x00ED;a, Universidad Cat&#x00F3;lica del Maule, Talca, Chile"],"affiliations":[{"raw_affiliation_string":"Laboratory of Technological Research in Pattern Recognition (LITRP), Facultad de Ciencias de la Ingenier&#x00ED;a, Universidad Cat&#x00F3;lica del Maule, Talca, Chile","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027841731"],"corresponding_institution_ids":["https://openalex.org/I2799535320"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.2018,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58436502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"134834","last_page":"134845"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983999729156494,"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":0.9983999729156494,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.984000027179718,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.7546078562736511},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7003070712089539},{"id":"https://openalex.org/keywords/strassen-algorithm","display_name":"Strassen algorithm","score":0.6901574730873108},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6804169416427612},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6027913689613342},{"id":"https://openalex.org/keywords/moore\u2013penrose-pseudoinverse","display_name":"Moore\u2013Penrose pseudoinverse","score":0.5046032667160034},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.4876364767551422},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.47500407695770264},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43473148345947266},{"id":"https://openalex.org/keywords/generalized-inverse","display_name":"Generalized inverse","score":0.4226728677749634},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3733999729156494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2610258162021637}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7546078562736511},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7003070712089539},{"id":"https://openalex.org/C39096654","wikidata":"https://www.wikidata.org/wiki/Q728507","display_name":"Strassen algorithm","level":4,"score":0.6901574730873108},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6804169416427612},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6027913689613342},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.5046032667160034},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.4876364767551422},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.47500407695770264},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43473148345947266},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.4226728677749634},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3733999729156494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2610258162021637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3338544","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3338544","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10336814.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b6166452959a482c958b2bd689ec6aec","is_oa":true,"landing_page_url":"https://doaj.org/article/b6166452959a482c958b2bd689ec6aec","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 11, Pp 134834-134845 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3338544","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3338544","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10336814.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1006721668","display_name":null,"funder_award_id":"FONDECYT","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G2575085552","display_name":null,"funder_award_id":"1200810","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G4489205449","display_name":null,"funder_award_id":"21201000","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"}],"funders":[{"id":"https://openalex.org/F4320319253","display_name":"Agen\u021bia Na\u021bional\u0103 pentru Cercetare \u0219i Dezvoltare","ror":null},{"id":"https://openalex.org/F4320325054","display_name":"Universidad Sim\u00f3n Bol\u00edvar","ror":null},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":null},{"id":"https://openalex.org/F4320338463","display_name":"CHIST-ERA","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389164445.pdf","grobid_xml":"https://content.openalex.org/works/W4389164445.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W63662626","https://openalex.org/W279945565","https://openalex.org/W348255556","https://openalex.org/W1202743199","https://openalex.org/W1972907356","https://openalex.org/W1974511160","https://openalex.org/W1988956646","https://openalex.org/W2003266823","https://openalex.org/W2035476608","https://openalex.org/W2055576996","https://openalex.org/W2061148491","https://openalex.org/W2096202120","https://openalex.org/W2119812841","https://openalex.org/W2122385067","https://openalex.org/W2131225049","https://openalex.org/W2159579247","https://openalex.org/W2472023705","https://openalex.org/W2894500951","https://openalex.org/W2899195779","https://openalex.org/W2909975894","https://openalex.org/W2943128829","https://openalex.org/W2947234605","https://openalex.org/W2998543699","https://openalex.org/W3016281326","https://openalex.org/W3023472202","https://openalex.org/W3028414831","https://openalex.org/W3198134824","https://openalex.org/W3207248133","https://openalex.org/W4297347557","https://openalex.org/W4372203465","https://openalex.org/W6678476872"],"related_works":["https://openalex.org/W1974407206","https://openalex.org/W1829171354","https://openalex.org/W2020777648","https://openalex.org/W2004916460","https://openalex.org/W2962985479","https://openalex.org/W4244873541","https://openalex.org/W1983122719","https://openalex.org/W2073668838","https://openalex.org/W2156614499","https://openalex.org/W2032777898"],"abstract_inverted_index":{"The":[0,89,111],"computation":[1,29,78,118,140,158],"of":[2,19,30,49,62,79,84,100,159,164],"the":[3,17,47,51,77,80,93,98,156,160],"Moore\u2013Penrose":[4,81,161],"generalized":[5,82,162],"inverse":[6,32,83,99,163],"is":[7,33,105],"a":[8,27,42,59,72,101,108,114,126,131,138,152],"commonly":[9],"used":[10],"operation":[11],"in":[12,117,125,168],"various":[13],"fields":[14],"such":[15,38],"as":[16],"training":[18],"neural":[20,39],"networks":[21,40],"based":[22],"on":[23,107],"random":[24],"weights.":[25],"Therefore,":[26],"fast":[28],"this":[31,68],"important":[34],"for":[35,76,121,155],"problems":[36],"where":[37],"provide":[41],"solution.":[43],"However,":[44],"due":[45],"to":[46,96],"growth":[48],"databases,":[50],"matrices":[52,166],"involved":[53],"have":[54],"large":[55],"dimensions,":[56],"thus":[57],"requiring":[58],"significant":[60,115],"amount":[61],"processing":[63],"and":[64,104],"execution":[65,133],"time.":[66],"In":[67],"paper,":[69],"we":[70],"propose":[71],"parallel":[73],"computing":[74,128],"method":[75,91,136],"large-size":[85,165],"full-rank":[86],"rectangular":[87],"matrices.":[88,123],"proposed":[90],"employs":[92],"Strassen":[94],"algorithm":[95],"compute":[97],"nonsingular":[102],"matrix":[103],"implemented":[106],"shared-memory":[109],"architecture.":[110],"results":[112],"show":[113],"reduction":[116],"time,":[119],"especially":[120],"high-rank":[122],"Furthermore,":[124],"sequential":[127],"scenario":[129],"(using":[130],"single":[132],"thread),":[134],"our":[135,149],"achieves":[137],"reduced":[139],"time":[141],"compared":[142],"with":[143],"other":[144],"previously":[145],"reported":[146],"algorithms.":[147],"Consequently,":[148],"approach":[150],"provides":[151],"promising":[153],"solution":[154],"efficient":[157],"employed":[167],"practical":[169],"scenarios.":[170]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
