{"id":"https://openalex.org/W2008160486","doi":"https://doi.org/10.1145/2110170.2110174","title":"Computing the real solutions of polynomial systems with the RegularChains library in Maple","display_name":"Computing the real solutions of polynomial systems with the RegularChains library in Maple","publication_year":2012,"publication_date":"2012-01-23","ids":{"openalex":"https://openalex.org/W2008160486","doi":"https://doi.org/10.1145/2110170.2110174","mag":"2008160486"},"language":"en","primary_location":{"id":"doi:10.1145/2110170.2110174","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2110170.2110174","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011795147","display_name":"Changbo Chen","orcid":"https://orcid.org/0000-0002-7412-7667"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Changbo Chen","raw_affiliation_strings":["University of Western Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043054372","display_name":"James H. Davenport","orcid":"https://orcid.org/0000-0002-3982-7545"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James H. Davenport","raw_affiliation_strings":["University of Bath, UK","University Of Bath, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"University Of Bath, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007579412","display_name":"Fran\u00e7ois Lemaire","orcid":"https://orcid.org/0000-0001-7349-4396"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Lemaire","raw_affiliation_strings":["Universit\u00e9 de Lille 1, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lille 1, France","institution_ids":["https://openalex.org/I2279609970"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081832433","display_name":"Marc Moreno Maza","orcid":"https://orcid.org/0000-0003-3011-0756"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Marc Moreno Maza","raw_affiliation_strings":["University of Western Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065639971","display_name":"Bican Xia","orcid":"https://orcid.org/0000-0002-2570-2338"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bican Xia","raw_affiliation_strings":["Peking University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Peking University, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061550044","display_name":"Rong Xiao","orcid":"https://orcid.org/0000-0002-6214-8057"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Rong Xiao","raw_affiliation_strings":["University of Western Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100547215","display_name":"Yuzhen Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yuzhen Xie","raw_affiliation_strings":["University of Western Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0419,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.76812543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"45","issue":"3/4","first_page":"166","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9937000274658203,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/citation","display_name":"Citation","score":0.5910756587982178},{"id":"https://openalex.org/keywords/china","display_name":"China","score":0.5734971761703491},{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.5733187198638916},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.563457727432251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37999293208122253},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.2878606915473938},{"id":"https://openalex.org/keywords/archaeology","display_name":"Archaeology","score":0.1484522521495819},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.07495054602622986},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06741863489151001}],"concepts":[{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.5910756587982178},{"id":"https://openalex.org/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.5734971761703491},{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.5733187198638916},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.563457727432251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37999293208122253},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.2878606915473938},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.1484522521495819},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.07495054602622986},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06741863489151001}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2110170.2110174","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2110170.2110174","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1502087103","https://openalex.org/W1529716841","https://openalex.org/W1903368241","https://openalex.org/W2011212572","https://openalex.org/W2021153515","https://openalex.org/W2021232038","https://openalex.org/W2026612342","https://openalex.org/W2026774968","https://openalex.org/W2039355522"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W3008027610","https://openalex.org/W2619973341","https://openalex.org/W2210259036","https://openalex.org/W2019433297","https://openalex.org/W2970670716","https://openalex.org/W4249171332","https://openalex.org/W2522483390","https://openalex.org/W650945805","https://openalex.org/W2966474385"],"abstract_inverted_index":{"demonstration":[0],"Share":[1],"on":[2,168],"Computing":[3],"the":[4,11,169],"real":[5],"solutions":[6],"of":[7,20,25,35,39,62,67,86,91,100,105],"polynomial":[8],"systems":[9],"with":[10],"RegularChains":[12],"library":[13],"in":[14,116,177],"Maple":[15],"Authors:":[16],"Changbo":[17],"Chen":[18],"University":[19,24,34,38,61,66,85,90,99,104],"Western":[21,26,63,68,87,92,101,106],"Ontario,":[22,27,64,69,88,93,102,107],"Canada":[23,65,89,103],"CanadaView":[28,70,94,108],"Profile":[29,42,56,71,81,95,109],",":[30,43,57,72,82,96],"James":[31],"H.":[32],"Davenport":[33],"Bath,":[36,40],"UK":[37],"UKView":[41],"Fran\u00e7ois":[44],"Lemaire":[45],"Universit\u00e9":[46,51],"de":[47,52],"Lille":[48,53],"1,":[49,54],"France":[50],"FranceView":[55],"Marc":[58],"Moreno":[59],"Maza":[60],"Bican":[73],"Xia":[74],"Peking":[75,78],"University,":[76,79],"China":[77],"ChinaView":[80],"Rong":[83],"Xiao":[84],"Yuzhen":[97],"Xie":[98],"Authors":[110],"Info":[111],"&":[112],"Claims":[113],"ACM":[114],"Communications":[115],"Computer":[117],"AlgebraVolume":[118],"45Issue":[119],"3/4September/December":[120],"2011":[121],"pp":[122],"166\u2013168https://doi.org/10.1145/2110170.2110174Online:23":[123],"January":[124],"2012Publication":[125],"History":[126],"5citation95DownloadsMetricsTotal":[127],"Citations5Total":[128],"Downloads95Last":[129],"12":[130],"Months3Last":[131],"6":[132],"weeks0":[133],"Get":[134],"Citation":[135,137,174],"AlertsNew":[136,173],"Alert":[138],"added!This":[139],"alert":[140,165],"has":[141,160],"been":[142,161],"successfully":[143],"added":[144],"and":[145],"will":[146,150],"be":[147,151],"sent":[148],"to:You":[149],"notified":[152],"whenever":[153],"a":[154,186],"record":[155],"that":[156],"you":[157],"have":[158],"chosen":[159],"cited.To":[162],"manage":[163],"your":[164,179],"preferences,":[166],"click":[167],"button":[170],"below.Manage":[171],"my":[172],"Alert!Please":[175],"log":[176],"to":[178,182,184],"account":[180],"Save":[181],"BinderSave":[183],"BinderCreate":[185],"New":[187],"BinderNameCancelCreateExport":[188],"CitationPublisher":[189],"SiteGet":[190],"Access":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
