{"id":"https://openalex.org/W198005572","doi":"https://doi.org/10.1007/bf02253296","title":"Exact algorithms for polynomial real root approximation using continued fractions","display_name":"Exact algorithms for polynomial real root approximation using continued fractions","publication_year":1983,"publication_date":"1983-03-01","ids":{"openalex":"https://openalex.org/W198005572","doi":"https://doi.org/10.1007/bf02253296","mag":"198005572"},"language":"en","primary_location":{"id":"doi:10.1007/bf02253296","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02253296","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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/A5017435174","display_name":"Alkiviadis G. Akritas","orcid":null},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. G. Akritas","raw_affiliation_strings":["Department of Computer Science, University of Kansas, 66045, Lawrence, KS, USA","Department of Computer Science, University of Kansas, Lawrence, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Kansas, 66045, Lawrence, KS, USA","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"Department of Computer Science, University of Kansas, Lawrence, USA","institution_ids":["https://openalex.org/I146416000"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077152804","display_name":"Helen King","orcid":null},"institutions":[{"id":"https://openalex.org/I4210150951","display_name":"Shell (United States)","ror":"https://ror.org/04wedba92","country_code":"US","type":"company","lineage":["https://openalex.org/I4210150951","https://openalex.org/I7923278"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Ng King","raw_affiliation_strings":["Shell Oil Company, Houston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shell Oil Company, Houston, USA","institution_ids":["https://openalex.org/I4210150951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.5688,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57094365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"1","first_page":"63","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9794999957084656,"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":0.9794999957084656,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9355999827384949,"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"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9182999730110168,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/properties-of-polynomial-roots","display_name":"Properties of polynomial roots","score":0.7376933097839355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.699665367603302},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6807293891906738},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6335501670837402},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.5314254760742188},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5278251767158508},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5218014717102051},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5186095237731934},{"id":"https://openalex.org/keywords/wilkinsons-polynomial","display_name":"Wilkinson's polynomial","score":0.45405063033103943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36367160081863403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3369039297103882},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.3136342763900757},{"id":"https://openalex.org/keywords/reciprocal-polynomial","display_name":"Reciprocal polynomial","score":0.24294015765190125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17185702919960022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16274341940879822}],"concepts":[{"id":"https://openalex.org/C107775665","wikidata":"https://www.wikidata.org/wiki/Q12859399","display_name":"Properties of polynomial roots","level":4,"score":0.7376933097839355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.699665367603302},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6807293891906738},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6335501670837402},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.5314254760742188},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5278251767158508},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5218014717102051},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5186095237731934},{"id":"https://openalex.org/C170907076","wikidata":"https://www.wikidata.org/wiki/Q2613931","display_name":"Wilkinson's polynomial","level":5,"score":0.45405063033103943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36367160081863403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3369039297103882},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.3136342763900757},{"id":"https://openalex.org/C97395012","wikidata":"https://www.wikidata.org/wiki/Q1422356","display_name":"Reciprocal polynomial","level":4,"score":0.24294015765190125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17185702919960022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16274341940879822},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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:10.1007/bf02253296","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02253296","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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":17,"referenced_works":["https://openalex.org/W93715741","https://openalex.org/W413656932","https://openalex.org/W1560124954","https://openalex.org/W1579461265","https://openalex.org/W1655990431","https://openalex.org/W1970836040","https://openalex.org/W1971967210","https://openalex.org/W1984091345","https://openalex.org/W2035254827","https://openalex.org/W2042522538","https://openalex.org/W2056825891","https://openalex.org/W2102994533","https://openalex.org/W2110134010","https://openalex.org/W2978109581","https://openalex.org/W4206412600","https://openalex.org/W4232927474","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W170171843","https://openalex.org/W2905919007","https://openalex.org/W1988566873","https://openalex.org/W2382784327","https://openalex.org/W2077508398","https://openalex.org/W2240282887","https://openalex.org/W2008280494","https://openalex.org/W2363840864","https://openalex.org/W2198267846","https://openalex.org/W2963138821"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
