{"id":"https://openalex.org/W1598949716","doi":"https://doi.org/10.1007/978-3-540-75187-8_3","title":"Advances on the Continued Fractions Method Using Better Estimations of Positive Root Bounds","display_name":"Advances on the Continued Fractions Method Using Better Estimations of Positive Root Bounds","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1598949716","doi":"https://doi.org/10.1007/978-3-540-75187-8_3","mag":"1598949716"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-75187-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/I145722265","display_name":"University of Thessaly","ror":"https://ror.org/04v4g9h31","country_code":"GR","type":"education","lineage":["https://openalex.org/I145722265"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Alkiviadis G. Akritas","raw_affiliation_strings":["University of Thessaly, Department of Computer and Communication Engineering, GR-38221 Volos, Greece","University of Thessaly, Department of Computer and Communication Engineering, Volos, Greece#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Thessaly, Department of Computer and Communication Engineering, GR-38221 Volos, Greece","institution_ids":["https://openalex.org/I145722265"]},{"raw_affiliation_string":"University of Thessaly, Department of Computer and Communication Engineering, Volos, Greece#TAB#","institution_ids":["https://openalex.org/I145722265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011129468","display_name":"Adam Strzebo\u0144ski","orcid":"https://orcid.org/0000-0003-1282-4640"},"institutions":[{"id":"https://openalex.org/I65760639","display_name":"Wolfram Research (United States)","ror":"https://ror.org/03k118f17","country_code":"US","type":"company","lineage":["https://openalex.org/I65760639"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adam W. Strzebo\u0144ski","raw_affiliation_strings":["Wolfram Research, Inc., 100 Trade Center Drive, Champaign, IL 61820, USA","Wolfram Research Inc., Champaign, IL#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wolfram Research, Inc., 100 Trade Center Drive, Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I65760639"]},{"raw_affiliation_string":"Wolfram Research Inc., Champaign, IL#TAB#","institution_ids":["https://openalex.org/I65760639"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005760804","display_name":"Panagiotis S. Vigklas","orcid":null},"institutions":[{"id":"https://openalex.org/I145722265","display_name":"University of Thessaly","ror":"https://ror.org/04v4g9h31","country_code":"GR","type":"education","lineage":["https://openalex.org/I145722265"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Panagiotis S. Vigklas","raw_affiliation_strings":["University of Thessaly, Department of Computer and Communication Engineering, GR-38221 Volos, Greece","University of Thessaly, Department of Computer and Communication Engineering, Volos, Greece#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Thessaly, Department of Computer and Communication Engineering, GR-38221 Volos, Greece","institution_ids":["https://openalex.org/I145722265"]},{"raw_affiliation_string":"University of Thessaly, Department of Computer and Communication Engineering, Volos, Greece#TAB#","institution_ids":["https://openalex.org/I145722265"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6453,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82381786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"24","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9879000186920166,"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":0.9879000186920166,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9828000068664551,"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":0.9768999814987183,"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/root","display_name":"Root (linguistics)","score":0.7783774733543396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6480014324188232},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.5643362402915955},{"id":"https://openalex.org/keywords/isolation","display_name":"Isolation (microbiology)","score":0.5156716108322144},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48859935998916626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40900662541389465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35419201850891113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27413350343704224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06502887606620789}],"concepts":[{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.7783774733543396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6480014324188232},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.5643362402915955},{"id":"https://openalex.org/C2775941552","wikidata":"https://www.wikidata.org/wiki/Q25212305","display_name":"Isolation (microbiology)","level":2,"score":0.5156716108322144},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48859935998916626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40900662541389465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35419201850891113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27413350343704224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06502887606620789},{"id":"https://openalex.org/C89423630","wikidata":"https://www.wikidata.org/wiki/Q7193","display_name":"Microbiology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-75187-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ir.lib.uth.gr:11615/25415","is_oa":false,"landing_page_url":"http://hdl.handle.net/11615/25415","pdf_url":null,"source":{"id":"https://openalex.org/S4306400243","display_name":"University of Thessaly Institutional Repository (University of Thessaly)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145722265","host_organization_name":"University of Thessaly","host_organization_lineage":["https://openalex.org/I145722265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scopus.com/inward/record.url?eid=2-s2.0-38149051503&partnerID=40&md5=611559c35a37aaf807f0d9a7cde357f3","raw_type":"other"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W9086223","https://openalex.org/W1526783510","https://openalex.org/W1799132136","https://openalex.org/W2004223891","https://openalex.org/W2034972350","https://openalex.org/W2077961479","https://openalex.org/W2082964526","https://openalex.org/W2099287615","https://openalex.org/W2146291488","https://openalex.org/W2267753676","https://openalex.org/W2441241344","https://openalex.org/W2506178054","https://openalex.org/W2920955696","https://openalex.org/W4248365582","https://openalex.org/W4285719527","https://openalex.org/W4292003697"],"related_works":["https://openalex.org/W2577097539","https://openalex.org/W2329494729","https://openalex.org/W4295096927","https://openalex.org/W1606060475","https://openalex.org/W3112697985","https://openalex.org/W2394779770","https://openalex.org/W2415102733","https://openalex.org/W3215882190","https://openalex.org/W4289517156","https://openalex.org/W4316662235"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}