{"id":"https://openalex.org/W1995842151","doi":"https://doi.org/10.1007/s00607-004-0116-9","title":"Some Methods for Simultaneous Extraction of a Part of All Multiple Roots of Algebraic Polynomials","display_name":"Some Methods for Simultaneous Extraction of a Part of All Multiple Roots of Algebraic Polynomials","publication_year":2005,"publication_date":"2005-03-23","ids":{"openalex":"https://openalex.org/W1995842151","doi":"https://doi.org/10.1007/s00607-004-0116-9","mag":"1995842151"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-004-0116-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-004-0116-9","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/A5089967942","display_name":"\u0410\u043d\u0442\u043e\u043d \u0418\u043b\u0438\u0435\u0432","orcid":"https://orcid.org/0000-0001-9796-8453"},"institutions":[{"id":"https://openalex.org/I192878625","display_name":"Plovdiv University","ror":"https://ror.org/0545p3742","country_code":"BG","type":"education","lineage":["https://openalex.org/I192878625"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"A. Iliev","raw_affiliation_strings":["Faculty of Mathematics and Informatics, University of Plovdiv, 24, Tsar Assen Str., 4000, Plovdiv, Bulgaria","Faculty of Mathematics and Informatics, University of Plovdiv, Plovdiv, Bulgaria","Faculty of Mathematics and Informatics, University of Plovdiv, 24, Tsar Assen Str., 4000, Plovdiv, Bulgaria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, University of Plovdiv, 24, Tsar Assen Str., 4000, Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I192878625"]},{"raw_affiliation_string":"Faculty of Mathematics and Informatics, University of Plovdiv, Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I192878625"]},{"raw_affiliation_string":"Faculty of Mathematics and Informatics, University of Plovdiv, 24, Tsar Assen Str., 4000, Plovdiv, Bulgaria#TAB#","institution_ids":["https://openalex.org/I192878625"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022442940","display_name":"Nikolay Kyurkchiev","orcid":"https://orcid.org/0000-0003-0650-3285"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"N. Kyurkchiev","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113, Sofia, Bulgaria","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G.Bonchev Str. Bl.8, 1113 Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G.Bonchev Str. Bl.8, 1113 Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022442940","https://openalex.org/A5089967942"],"corresponding_institution_ids":["https://openalex.org/I192878625","https://openalex.org/I24768866","https://openalex.org/I4210105926"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09965849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"75","issue":"1","first_page":"85","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9997000098228455,"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/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.9817000031471252,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.980400025844574,"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":0.6974902153015137},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.622663676738739},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5597969889640808},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5514538884162903},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4324287474155426},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4316054880619049},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2590947151184082},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21124213933944702},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0724698007106781}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6974902153015137},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.622663676738739},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5597969889640808},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5514538884162903},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4324287474155426},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4316054880619049},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2590947151184082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21124213933944702},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0724698007106781},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-004-0116-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-004-0116-9","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W145955159","https://openalex.org/W169252370","https://openalex.org/W279284990","https://openalex.org/W300565033","https://openalex.org/W322457288","https://openalex.org/W337519596","https://openalex.org/W633035909","https://openalex.org/W639884031","https://openalex.org/W2080960729","https://openalex.org/W2090963365","https://openalex.org/W2095068727","https://openalex.org/W2149388447","https://openalex.org/W2161721461","https://openalex.org/W3042120153","https://openalex.org/W4211134967","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059","https://openalex.org/W2494168571","https://openalex.org/W3121191496","https://openalex.org/W1550676882","https://openalex.org/W1992626918","https://openalex.org/W2785906022"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}