{"id":"https://openalex.org/W2027347531","doi":"https://doi.org/10.1145/2016567.2016581","title":"Fast computation of common left multiples of linear ordinary differential operators","display_name":"Fast computation of common left multiples of linear ordinary differential operators","publication_year":2011,"publication_date":"2011-07-25","ids":{"openalex":"https://openalex.org/W2027347531","doi":"https://doi.org/10.1145/2016567.2016581","mag":"2027347531"},"language":"en","primary_location":{"id":"doi:10.1145/2016567.2016581","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2016567.2016581","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1205.0879","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033626172","display_name":"Alin Bostan","orcid":"https://orcid.org/0000-0003-3798-9281"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alin Bostan","raw_affiliation_strings":["Algorithms project, INRIA Paris-Rocquencourt, France","Algorithms project, INRIA Paris-Rocquencourt, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Algorithms project, INRIA Paris-Rocquencourt, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Algorithms project, INRIA Paris-Rocquencourt, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065051601","display_name":"Fr\u00e9d\u00e9ric Chyzak","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Chyzak","raw_affiliation_strings":["Algorithms project, INRIA Paris-Rocquencourt, France","Algorithms project, INRIA Paris-Rocquencourt, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Algorithms project, INRIA Paris-Rocquencourt, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Algorithms project, INRIA Paris-Rocquencourt, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101651748","display_name":"Ziming Li","orcid":"https://orcid.org/0009-0004-7529-7176"},"institutions":[{"id":"https://openalex.org/I4210129227","display_name":"Chinese Academy of Agricultural Mechanization Sciences","ror":"https://ror.org/03792qf33","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210129227"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziming Li","raw_affiliation_strings":["Key Lab of Mathematics Mechanization, AMSS, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Lab of Mathematics Mechanization, AMSS, Beijing, China","institution_ids":["https://openalex.org/I4210129227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047966261","display_name":"Bruno Salvy","orcid":"https://orcid.org/0000-0002-4313-0679"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bruno Salvy","raw_affiliation_strings":["Algorithms project, INRIA Paris-Rocquencourt, France","Algorithms project, INRIA Paris-Rocquencourt, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Algorithms project, INRIA Paris-Rocquencourt, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Algorithms project, INRIA Paris-Rocquencourt, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033626172"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":0.9641,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75387314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"45","issue":"1/2","first_page":"111","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9990000128746033,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9990000128746033,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980999827384949,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiple","display_name":"Multiple","score":0.9290663599967957},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7141112089157104},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5985416173934937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4870484173297882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4465658962726593},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3516908586025238},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3037536144256592},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2995356321334839},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19965916872024536},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19055572152137756}],"concepts":[{"id":"https://openalex.org/C164680029","wikidata":"https://www.wikidata.org/wiki/Q1055293","display_name":"Multiple","level":2,"score":0.9290663599967957},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7141112089157104},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5985416173934937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4870484173297882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4465658962726593},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3516908586025238},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3037536144256592},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2995356321334839},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19965916872024536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19055572152137756},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/2016567.2016581","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2016567.2016581","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1205.0879","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.0879","pdf_url":"https://arxiv.org/pdf/1205.0879","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.299.2709","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.2709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://algo.inria.fr/bostan/publications/BoChLiSa12.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.385.487","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.385.487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mmrc.iss.ac.cn/~zmli/papers/BCLS2012.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.757.258","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.757.258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1205.0879.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00698610v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00698610","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC 2012 - 37th International Symposium on Symbolic and Algebraic Computation, Jul 2012, Grenoble, France. pp.99-106","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1205.0879","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.0879","pdf_url":"https://arxiv.org/pdf/1205.0879","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4149042800","display_name":null,"funder_award_id":"91118001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5932878250","display_name":null,"funder_award_id":"60821002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6308318376","display_name":null,"funder_award_id":"60821002/F02","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2027347531.pdf","grobid_xml":"https://content.openalex.org/works/W2027347531.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W60296969","https://openalex.org/W122251279","https://openalex.org/W131580685","https://openalex.org/W180233073","https://openalex.org/W647576431","https://openalex.org/W1167656794","https://openalex.org/W1518413206","https://openalex.org/W1540625694","https://openalex.org/W1562183207","https://openalex.org/W1585998846","https://openalex.org/W1976677460","https://openalex.org/W1979740015","https://openalex.org/W1980283844","https://openalex.org/W1984950894","https://openalex.org/W1990226699","https://openalex.org/W1995653528","https://openalex.org/W2001894830","https://openalex.org/W2003189478","https://openalex.org/W2010830127","https://openalex.org/W2014038993","https://openalex.org/W2019367635","https://openalex.org/W2020079313","https://openalex.org/W2029001542","https://openalex.org/W2040334793","https://openalex.org/W2083368929","https://openalex.org/W2084801848","https://openalex.org/W2093914057","https://openalex.org/W2103078973","https://openalex.org/W2120802615","https://openalex.org/W2129139293","https://openalex.org/W2320632938","https://openalex.org/W2325126376","https://openalex.org/W2331005958","https://openalex.org/W2483931130","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W2326951841","https://openalex.org/W2922382661","https://openalex.org/W3124393698","https://openalex.org/W2595894880","https://openalex.org/W2049763509","https://openalex.org/W2552818475","https://openalex.org/W2897256641","https://openalex.org/W4291718272","https://openalex.org/W2953426946","https://openalex.org/W4251748586"],"abstract_inverted_index":{"No":[0],"abstract":[1],"available.":[2]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}