{"id":"https://openalex.org/W3100972011","doi":null,"title":"Quasi-optimal multiplication of linear differential operators","display_name":"Quasi-optimal multiplication of linear differential operators","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W3100972011","mag":"3100972011"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.299.2106","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.2106","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/BeBoHo12.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alexandre Benoit","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexandre Benoit","raw_affiliation_strings":["PolSys - Polynomial Systems (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"PolSys - Polynomial Systems (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033626172","display_name":"Alin Bostan","orcid":"https://orcid.org/0000-0003-3798-9281","observed_orcids":["https://orcid.org/0000-0003-3798-9281"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alin Bostan","raw_affiliation_strings":["ALGORITHMS - Algorithms (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ALGORITHMS - Algorithms (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001033788","display_name":"Joris van der Hoeven","orcid":"https://orcid.org/0000-0003-2244-1897","observed_orcids":["https://orcid.org/0000-0003-2244-1897"]},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Joris","raw_affiliation_strings":["LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (Route de Saclay 91128 PALAISEAU CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (Route de Saclay 91128 PALAISEAU CEDEX - France)","institution_ids":["https://openalex.org/I4210139461"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5141417556","display_name":"Van Der Hoeven","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Van Der Hoeven","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3859,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.68981407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9916999936103821,"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":0.9916999936103821,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.003599999938160181,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.0019000000320374966,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/linear-differential-operators","display_name":"linear differential operators","score":0.9229999780654907},{"id":"https://openalex.org/keywords/polynomial-coefficients","display_name":"polynomial coefficients","score":0.8090000152587891},{"id":"https://openalex.org/keywords/multiplication-algorithms","display_name":"multiplication algorithms","score":0.718999981880188},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"symbolic computation","score":0.3930000066757202},{"id":"https://openalex.org/keywords/computational-complexity","display_name":"computational complexity","score":0.3100000023841858}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6097329258918762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5627808570861816},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.5464467406272888},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5329533219337463},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5131016969680786},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4697580337524414},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.438742458820343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35913628339767456},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33657145500183105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21768537163734436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21707889437675476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11051344871520996},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10594537854194641},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.299.2106","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.2106","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/BeBoHo12.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.600.6631","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.600.6631","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/68/54/01/PDF/BeBoHo12.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.3531","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.3531","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/1208.3639.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00793082v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.inria.fr/hal-00793082","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"FOCS 2012 - IEEE 53rd Annual Symposium on Foundations of Computer Science","raw_type":"\\ninfo:eu-repo/semantics/conferenceObject\\n"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W21639112","https://openalex.org/W125332172","https://openalex.org/W152964218","https://openalex.org/W180233073","https://openalex.org/W208025404","https://openalex.org/W1167656794","https://openalex.org/W1540625694","https://openalex.org/W1561337879","https://openalex.org/W1562183207","https://openalex.org/W1655990431","https://openalex.org/W1979740015","https://openalex.org/W2007988810","https://openalex.org/W2010830127","https://openalex.org/W2014038993","https://openalex.org/W2020079313","https://openalex.org/W2027347531","https://openalex.org/W2029001542","https://openalex.org/W2035476608","https://openalex.org/W2038073775","https://openalex.org/W2045706641","https://openalex.org/W2047222156","https://openalex.org/W2061171222","https://openalex.org/W2070864561","https://openalex.org/W2080063509","https://openalex.org/W2083368929","https://openalex.org/W2084801848","https://openalex.org/W2103078973","https://openalex.org/W2113672208","https://openalex.org/W2331005958","https://openalex.org/W2478352205","https://openalex.org/W2586406865","https://openalex.org/W2611625450","https://openalex.org/W4291677815"],"related_works":["https://openalex.org/W2010830127","https://openalex.org/W2029001542","https://openalex.org/W1167656794","https://openalex.org/W2028891341","https://openalex.org/W2050250782","https://openalex.org/W4386241610","https://openalex.org/W2050162181","https://openalex.org/W3182712297","https://openalex.org/W2044254427","https://openalex.org/W2008682004"],"abstract_inverted_index":{"Abstract.":[0],"We":[1],"show":[2],"that":[3],"linear":[4],"differential":[5],"operators":[6],"with":[7],"polynomial":[8],"coefficients":[9],"can":[10],"be":[11],"multiplied":[12],"in":[13],"quasi-optimal":[14],"time.":[15],"This":[16],"answers":[17],"an":[18],"open":[19],"question":[20],"raised":[21],"by":[22],"van":[23],"der":[24],"Hoeven.":[25],"1.":[26]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-11-23T00:00:00"}
