{"id":"https://openalex.org/W2105816623","doi":"https://doi.org/10.1145/2465506.2465941","title":"Complexity estimates for two uncoupling algorithms","display_name":"Complexity estimates for two uncoupling algorithms","publication_year":2013,"publication_date":"2013-06-25","ids":{"openalex":"https://openalex.org/W2105816623","doi":"https://doi.org/10.1145/2465506.2465941","mag":"2105816623"},"language":"en","primary_location":{"id":"doi:10.1145/2465506.2465941","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2465506.2465941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1301.5414","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"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210161634","display_name":"Microsoft (France)","ror":"https://ror.org/0521n7n83","country_code":"FR","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210161634"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alin Bostan","raw_affiliation_strings":["INRIA, Palaiseau, France","MSR - INRIA - Microsoft Research - Inria Joint Centre (Parc Orsay Universit\u00e9 28, rue Jean Rostand 91893 Orsay Cedex FRANCE - France)","SPECFUN - Symbolic Special Functions : Fast and Certified (Inria, B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves Campus de l'\u00c9cole Polytechnique 91120 Palaiseau - France)"],"affiliations":[{"raw_affiliation_string":"INRIA, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"MSR - INRIA - Microsoft Research - Inria Joint Centre (Parc Orsay Universit\u00e9 28, rue Jean Rostand 91893 Orsay Cedex FRANCE - France)","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210161634"]},{"raw_affiliation_string":"SPECFUN - Symbolic Special Functions : Fast and Certified (Inria, B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves Campus de l'\u00c9cole Polytechnique 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065051601","display_name":"Fr\u00e9d\u00e9ric Chyzak","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"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"]},{"id":"https://openalex.org/I4210161634","display_name":"Microsoft (France)","ror":"https://ror.org/0521n7n83","country_code":"FR","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210161634"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Chyzak","raw_affiliation_strings":["INRIA, Palaiseau, France","SPECFUN - Symbolic Special Functions : Fast and Certified (Inria, B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves Campus de l'\u00c9cole Polytechnique 91120 Palaiseau - France)","MSR - INRIA - Microsoft Research - Inria Joint Centre (Parc Orsay Universit\u00e9 28, rue Jean Rostand 91893 Orsay Cedex FRANCE - France)"],"affiliations":[{"raw_affiliation_string":"INRIA, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"SPECFUN - Symbolic Special Functions : Fast and Certified (Inria, B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves Campus de l'\u00c9cole Polytechnique 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"MSR - INRIA - Microsoft Research - Inria Joint Centre (Parc Orsay Universit\u00e9 28, rue Jean Rostand 91893 Orsay Cedex FRANCE - France)","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210161634"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003560304","display_name":"\u00c9lie de Panafieu","orcid":"https://orcid.org/0009-0002-1386-971X"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9lie de Panafieu","raw_affiliation_strings":["LIAFA, Paris, France","LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)"],"affiliations":[{"raw_affiliation_string":"LIAFA, Paris, France","institution_ids":["https://openalex.org/I4210094115"]},{"raw_affiliation_string":"LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033626172"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210126360","https://openalex.org/I4210161634"],"apc_list":null,"apc_paid":null,"fwci":0.98517082,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.80416048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"85","last_page":"92"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9961000084877014,"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/scalar","display_name":"Scalar (mathematics)","score":0.8122481107711792},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5601048469543457},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.509554386138916},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4918830394744873},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47900909185409546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4787163734436035},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4565202593803406},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4529799222946167},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4315703809261322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33546140789985657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15364250540733337},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14496633410453796},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.065371572971344},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06298232078552246}],"concepts":[{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.8122481107711792},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5601048469543457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.509554386138916},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4918830394744873},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47900909185409546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4787163734436035},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4565202593803406},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4529799222946167},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4315703809261322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33546140789985657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15364250540733337},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14496633410453796},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.065371572971344},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06298232078552246},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2465506.2465941","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2465506.2465941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1301.5414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.5414","pdf_url":"https://arxiv.org/pdf/1301.5414","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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00780010v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00780010","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC'13 - 38th International Symposium on Symbolic and Algebraic Computation, Northeastern University, Boston, Massachusetts, USA, Jul 2013, Boston, United States. pp.85-92, &#x27E8;10.1145/2465506.2465941&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1301.5414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.5414","pdf_url":"https://arxiv.org/pdf/1301.5414","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W60296969","https://openalex.org/W165457259","https://openalex.org/W201574803","https://openalex.org/W323935674","https://openalex.org/W619559559","https://openalex.org/W1542487657","https://openalex.org/W1585998846","https://openalex.org/W1974228408","https://openalex.org/W1993587193","https://openalex.org/W1995653528","https://openalex.org/W2002188635","https://openalex.org/W2032951732","https://openalex.org/W2035476608","https://openalex.org/W2036718210","https://openalex.org/W2038073775","https://openalex.org/W2055727571","https://openalex.org/W2057610164","https://openalex.org/W2083368929","https://openalex.org/W2084801848","https://openalex.org/W2291440833","https://openalex.org/W2322158455","https://openalex.org/W2332775731","https://openalex.org/W3149756008","https://openalex.org/W4230108938","https://openalex.org/W4234000537","https://openalex.org/W4252306663","https://openalex.org/W4254420624","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2071749707","https://openalex.org/W2922314686","https://openalex.org/W2087757637","https://openalex.org/W2988219995","https://openalex.org/W4288023528","https://openalex.org/W2059822836","https://openalex.org/W1595663444","https://openalex.org/W1662550557","https://openalex.org/W4293842686","https://openalex.org/W1789848037"],"abstract_inverted_index":{"Uncoupling":[0],"algorithms":[1],"transform":[2],"a":[3,42,80],"linear":[4],"differential":[5,14],"system":[6],"of":[7,45,87,101],"first":[8],"order\\ninto":[9],"one":[10],"or":[11],"several":[12],"scalar":[13],"equations.":[15],"We":[16,29,56,89],"examine":[17],"two":[18,99],"approaches":[19],"to\\nuncoupling:":[20],"the":[21,53,85,108],"cyclic-vector":[22],"method":[23],"(CVM)":[24],"and":[25,40,63,76,103],"the\\nDanilevski-Barkatou-Z\\\\\"urcher":[26],"algorithm":[27,92],"(DBZ).":[28],"give":[30],"tight":[31],"size":[32],"bounds":[33],"on":[34],"the\\nscalar":[35],"equations":[36],"produced":[37],"by":[38,97],"CVM,":[39],"design":[41],"fast":[43],"variant":[44],"CVM":[46,62,93],"whose\\ncomplexity":[47],"is":[48],"quasi-optimal":[49],"with":[50],"respect":[51],"to":[52,66,84],"output":[54,86],"size.":[55],"exhibit":[57],"a\\nstrong":[58],"structural":[59],"link":[60],"between":[61],"DBZ":[64,72,96],"enabling":[65],"show":[67],"that,":[68],"in":[69],"the\\ngeneric":[70],"case,":[71],"has":[73],"polynomial":[74],"complexity":[75,110],"that":[77,91,106],"it":[78],"produces":[79],"single\\nequation,":[81],"strongly":[82],"related":[83],"CVM.":[88],"prove":[90],"is\\nfaster":[94],"than":[95],"almost":[98],"orders":[100],"magnitude,":[102],"provide":[104],"experimental\\nresults":[105],"validate":[107],"theoretical":[109],"analyses.\\n":[111]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
