{"id":"https://openalex.org/W2054322375","doi":"https://doi.org/10.1016/s0747-7171(88)80032-4","title":"Solving systems of algebraic equations by a general elimination method","display_name":"Solving systems of algebraic equations by a general elimination method","publication_year":1988,"publication_date":"1988-06-01","ids":{"openalex":"https://openalex.org/W2054322375","doi":"https://doi.org/10.1016/s0747-7171(88)80032-4","mag":"2054322375"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(88)80032-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(88)80032-4","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","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/A5113489277","display_name":"Hidetsune Kobayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I104946051","display_name":"Nihon University","ror":"https://ror.org/05jk51a88","country_code":"JP","type":"education","lineage":["https://openalex.org/I104946051"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hidetsune Kobayashi","raw_affiliation_strings":["Dept of Mathematics, College of Science & Technology, Nihon University, Kanda-surugadai 1-8, Chiyoda-ku, Tokyo, Japan;"],"affiliations":[{"raw_affiliation_string":"Dept of Mathematics, College of Science & Technology, Nihon University, Kanda-surugadai 1-8, Chiyoda-ku, Tokyo, Japan;","institution_ids":["https://openalex.org/I104946051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027894372","display_name":"Tetsuro Fujise","orcid":null},"institutions":[{"id":"https://openalex.org/I113974858","display_name":"Mitsubishi Research Institute (Japan)","ror":"https://ror.org/02vq4f039","country_code":"JP","type":"company","lineage":["https://openalex.org/I113974858","https://openalex.org/I1306287861"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuro Fujise","raw_affiliation_strings":["Mitsubishi Research Institute, Otemachi 2-3, Chiyoda-ku, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Research Institute, Otemachi 2-3, Chiyoda-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I113974858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032814107","display_name":"Akio Furukawas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akio Furukawas","raw_affiliation_strings":["SEG, Nishi-Shinjuku 7-13-12-402, Shinjuku-ku, Tokyo, Japan","SEG, Nishi-Shinjuku 7-13-12-402, Shinjuku-ku, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"SEG, Nishi-Shinjuku 7-13-12-402, Shinjuku-ku, Tokyo, Japan","institution_ids":[]},{"raw_affiliation_string":"SEG, Nishi-Shinjuku 7-13-12-402, Shinjuku-ku, Tokyo, Japan#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113489277"],"corresponding_institution_ids":["https://openalex.org/I104946051"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":1.0602,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.75394273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":"3","first_page":"303","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9097999930381775,"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":0.9097999930381775,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.917086124420166},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5985349416732788},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5687861442565918},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.46821120381355286},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38295960426330566},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3605888783931732},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27235156297683716},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1630852222442627},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07966193556785583}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.917086124420166},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5985349416732788},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5687861442565918},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.46821120381355286},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38295960426330566},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3605888783931732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27235156297683716},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1630852222442627},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07966193556785583},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0747-7171(88)80032-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(88)80032-4","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1515192744","https://openalex.org/W1524190946","https://openalex.org/W2031629670","https://openalex.org/W2041696113","https://openalex.org/W2046133214","https://openalex.org/W2055909024","https://openalex.org/W2077725083","https://openalex.org/W2282767181","https://openalex.org/W2314453479","https://openalex.org/W4233685614","https://openalex.org/W6660785718","https://openalex.org/W6820634450"],"related_works":["https://openalex.org/W1973641256","https://openalex.org/W2089274067","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W2418069309","https://openalex.org/W2376158287","https://openalex.org/W1526165314","https://openalex.org/W2359859943","https://openalex.org/W2591547446","https://openalex.org/W2158584448"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
