{"id":"https://openalex.org/W2109486716","doi":"https://doi.org/10.3217/jucs-013-04-0455","title":"A Comparison of Various Methods for Computing Bounds for Positive Roots of Polynomials","display_name":"A Comparison of Various Methods for Computing Bounds for Positive Roots of Polynomials","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W2109486716","doi":"https://doi.org/10.3217/jucs-013-04-0455","mag":"2109486716"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:6999800","is_oa":true,"landing_page_url":"https://zenodo.org/record/6999800","pdf_url":"https://zenodo.org/record/6999800","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 13((4)) 455-467","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/6999800","any_repository_has_fulltext":true},"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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Thessaly","institution_ids":["https://openalex.org/I145722265"]}]},{"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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Thessaly","institution_ids":["https://openalex.org/I145722265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145722265"],"apc_list":null,"apc_paid":null,"fwci":0.7341,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.62255228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":null,"first_page":"455","last_page":"467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9564999938011169,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6245549917221069},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5746940970420837},{"id":"https://openalex.org/keywords/properties-of-polynomial-roots","display_name":"Properties of polynomial roots","score":0.5628610849380493},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5480133295059204},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5247031450271606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5020380020141602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41998687386512756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3895043730735779},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36573541164398193},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3433365821838379},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3013516068458557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11583641171455383},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.1054610013961792}],"concepts":[{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6245549917221069},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5746940970420837},{"id":"https://openalex.org/C107775665","wikidata":"https://www.wikidata.org/wiki/Q12859399","display_name":"Properties of polynomial roots","level":4,"score":0.5628610849380493},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5480133295059204},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5247031450271606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5020380020141602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41998687386512756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3895043730735779},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36573541164398193},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3433365821838379},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3013516068458557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11583641171455383},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.1054610013961792},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:zenodo.org:6999800","is_oa":true,"landing_page_url":"https://zenodo.org/record/6999800","pdf_url":"https://zenodo.org/record/6999800","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 13((4)) 455-467","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.523.5968","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.523.5968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_13_4/a_comparison_of_various/jucs_13_4_0455_0467_akritas.pdf","raw_type":"text"},{"id":"pmh:oai:ir.lib.uth.gr:11615/25416","is_oa":false,"landing_page_url":"http://hdl.handle.net/11615/25416","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":"Journal of Universal Computer Science","raw_type":"journalArticle"},{"id":"doi:10.3217/jucs-013-04-0455","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-013-04-0455","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"DataPaper"},{"id":"mag:2109486716","is_oa":false,"landing_page_url":"http://jucs.org/jucs_13_4/a_comparison_of_various/jucs_13_4_0455_0467_akritas.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S58563349","display_name":"JUCS - Journal of Universal Computer Science","issn_l":"0948-695X","issn":["0948-695X","0948-6968"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317875","host_organization_name":"Verlag der Technischen Universit\u00e4t Graz","host_organization_lineage":["https://openalex.org/P4310317875"],"host_organization_lineage_names":["Verlag der Technischen Universit\u00e4t Graz"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"JUCS - Journal of Universal Computer Science","raw_type":null}],"best_oa_location":{"id":"pmh:oai:zenodo.org:6999800","is_oa":true,"landing_page_url":"https://zenodo.org/record/6999800","pdf_url":"https://zenodo.org/record/6999800","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 13((4)) 455-467","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2109486716.pdf","grobid_xml":"https://content.openalex.org/works/W2109486716.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1526783510","https://openalex.org/W1552350973","https://openalex.org/W1579461265","https://openalex.org/W1799132136","https://openalex.org/W2004223891","https://openalex.org/W2034972350","https://openalex.org/W2099287615","https://openalex.org/W2901474011"],"related_works":["https://openalex.org/W2082964526","https://openalex.org/W9086223","https://openalex.org/W2089369436","https://openalex.org/W2077961479","https://openalex.org/W2004223891","https://openalex.org/W1799132136","https://openalex.org/W2099287615","https://openalex.org/W1579461265","https://openalex.org/W2901474011","https://openalex.org/W2441241344","https://openalex.org/W2338982075","https://openalex.org/W2012500323","https://openalex.org/W1598949716","https://openalex.org/W1506764403","https://openalex.org/W2998846056","https://openalex.org/W2329358803","https://openalex.org/W21261423","https://openalex.org/W2981310591","https://openalex.org/W2489515414","https://openalex.org/W2060511079"],"abstract_inverted_index":{"The":[0],"recent":[1],"interest":[2,11],"in":[3,12,36,67],"isolating":[4],"real":[5],"roots":[6,23,123],"of":[7,20,24,49,62,70,72,91,124],"polynomials":[8],"has":[9],"revived":[10],"computing":[13,118],"sharp":[14],"upper":[15],"bounds":[16,119],"on":[17,120],"the":[18,21,31,68,73,102,109,121,127],"values":[19],"positive":[22,122],"polynomials.":[25,125],"Until":[26],"now":[27],"Cauchy's":[28],"method":[29,103],"was":[30],"only":[32,55],"one":[33],"widely":[34],"used":[35],"this":[37,78],"process.":[38],"\u015etef\u0103nescu's":[39],"recently":[40],"published":[41],"theorem":[42,85,107,140],"offers":[43],"an":[44,59],"alternative,":[45],"but":[46],"unfortunately":[47],"is":[48,58,98],"limited":[50],"applicability":[51],"as":[52],"it":[53,133,143],"works":[54,87,144],"when":[56],"there":[57],"even":[60],"number":[61,90],"sign":[63,92],"variations":[64,93],"(or":[65],"changes)":[66],"sequence":[69],"coefficients":[71],"polynomial":[74],"under":[75],"consideration.":[76],"In":[77],"paper":[79],"we":[80,130],"present":[81],"a":[82,95],"more":[83],"general":[84],"that":[86,132,142],"for":[88,117],"any":[89,146],"provided":[94],"certain":[96],"condition":[97],"met.":[99],"We":[100],"compare":[101],"derived":[104],"from":[105],"our":[106,139],"with":[108],"corresponding":[110],"methods":[111],"by":[112,115],"Cauchy":[113],"and":[114],"Lagrange":[116],"From":[126],"experimental":[128],"results":[129],"conclude":[131],"would":[134],"be":[135],"advantageous":[136],"to":[137],"extend":[138],"so":[141],"without":[145],"restrictive":[147],"conditions.":[148]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}