{"id":"https://openalex.org/W1977906522","doi":"https://doi.org/10.1007/s11786-012-0136-3","title":"On Solving Parametric Polynomial Systems","display_name":"On Solving Parametric Polynomial Systems","publication_year":2012,"publication_date":"2012-11-27","ids":{"openalex":"https://openalex.org/W1977906522","doi":"https://doi.org/10.1007/s11786-012-0136-3","mag":"1977906522"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-012-0136-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-012-0136-3","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","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/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":true,"raw_author_name":"Marc Moreno Maza","raw_affiliation_strings":["University of Western Ontario, London, Canada","University of Western Ontario"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, London, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"University of Western Ontario","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"]},{"id":"https://openalex.org/I4210128628","display_name":"Peking University Shenzhen Hospital","ror":"https://ror.org/03kkjyb15","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210128628"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bican Xia","raw_affiliation_strings":["Peking University, Shenzhen, China","Peking University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Peking University, Shenzhen, China","institution_ids":["https://openalex.org/I4210128628"]},{"raw_affiliation_string":"Peking University","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","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":true,"raw_author_name":"Rong Xiao","raw_affiliation_strings":["University of Western Ontario, London, Canada","University of Western Ontario"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, London, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"University of Western Ontario","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061550044","https://openalex.org/A5065639971","https://openalex.org/A5081832433"],"corresponding_institution_ids":["https://openalex.org/I125749732","https://openalex.org/I20231570","https://openalex.org/I4210128628"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6942,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.69847723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"4","first_page":"457","last_page":"473"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7498059868812561},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.7210360765457153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7070316672325134},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5988266468048096},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5670082569122314},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.543921947479248},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.5081448554992676},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4477361738681793},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.444887638092041},{"id":"https://openalex.org/keywords/alternating-polynomial","display_name":"Alternating polynomial","score":0.41842859983444214},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4089939594268799},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39603692293167114},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18819281458854675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18202659487724304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16350775957107544},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07285618782043457},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07146474719047546}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7498059868812561},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.7210360765457153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7070316672325134},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5988266468048096},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5670082569122314},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.543921947479248},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.5081448554992676},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4477361738681793},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.444887638092041},{"id":"https://openalex.org/C170412648","wikidata":"https://www.wikidata.org/wiki/Q4736415","display_name":"Alternating polynomial","level":4,"score":0.41842859983444214},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4089939594268799},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39603692293167114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18819281458854675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18202659487724304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16350775957107544},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07285618782043457},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07146474719047546}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11786-012-0136-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-012-0136-3","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.294.8638","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.294.8638","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csd.uwo.ca/~moreno//Publications/On_solving_parametric_polynomial_systems.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.637.5388","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.637.5388","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csd.uwo.ca/~moreno//Publications/ICMS2014-CM-RCTD.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W22319829","https://openalex.org/W1536271794","https://openalex.org/W1574151794","https://openalex.org/W1853484293","https://openalex.org/W1903368241","https://openalex.org/W1975442862","https://openalex.org/W1990451653","https://openalex.org/W1992805538","https://openalex.org/W1998797986","https://openalex.org/W2007074311","https://openalex.org/W2012079420","https://openalex.org/W2021153515","https://openalex.org/W2023715740","https://openalex.org/W2037381995","https://openalex.org/W2053029682","https://openalex.org/W2072086870","https://openalex.org/W2077140256","https://openalex.org/W2087173622","https://openalex.org/W2095764258","https://openalex.org/W2120467997","https://openalex.org/W2124749403","https://openalex.org/W2128486174","https://openalex.org/W2150928761","https://openalex.org/W3102191769","https://openalex.org/W3217399827","https://openalex.org/W4255213956","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3216258873","https://openalex.org/W2149734642","https://openalex.org/W4311251537","https://openalex.org/W4320917455","https://openalex.org/W1523746755","https://openalex.org/W2028541862","https://openalex.org/W1984887342","https://openalex.org/W1975183777","https://openalex.org/W4298079332","https://openalex.org/W3114480276"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}